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21. Geometry: Seeing, Doing, Understanding
22. The Geometry of Sisters: A Novel
23. Geometry of Design: Studies in
24. Geometry Revisited (Mathematical
25. Discovering Geometry: An Inductive
26. Geometry: Applications and Connections
27. Discovering Geometry: An Investigative
28. The Shape of Inner Space: String
29. Sacred Geometry (Art and Imagination)
30. Geometry: Practice Workbook
31. Elementary Differential Geometry
32. Geometry Demystified
33. Geometry: Concepts and Skills
34. Geometry
35. Holt Geometry Textbook - Student
36. Geometry Teacher's Activities
37. Beyond the Flower of Life: Multidimensional
38. Sacred Geometry: Deciphering the
39. Sacred Geometry
40. Calculus With Analytic Geometry

21. Geometry: Seeing, Doing, Understanding
by Harold R. Jacobs
Hardcover: 780 Pages (2003-03-14)
-- used & new: US$81.15
(price subject to change: see help)
Asin: 0716743612
Average Customer Review: 4.5 out of 5 stars
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Editorial Review

Product Description

Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards.  Since its publication nearly one million students have used this legendary text.  Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest.
This edition is the Jacobs for a new generation.  It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be.  The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
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Customer Reviews (20)

5-0 out of 5 stars Excellent Service
I ordered this geometry book to avoid backpack scolisis for my freshman.I ordered it Wed evening, received it in the Saturday post. The book was exactly as described and at a great price. The book was well wrapped, no dings in the mail! Great Service. Thank you.

5-0 out of 5 stars Geometry book
Was very pleased with the condition of the book. It was actually in better shape than expected.

4-0 out of 5 stars On time delivery and good product
I received this book on time. The book was in good condition. This book is a good geometry text book.

5-0 out of 5 stars Hands on Geometry
If anyone is struggling with geometry, try this book.We used Teaching Textbooks, but my son was struggling.This book provides him with the hands on work that he needs in order to grasp the concepts.I wished I'd had it 5 months ago!

5-0 out of 5 stars logical organization
I'm using this book for homeschooling and find it clear and understandable.I have other geometry books (a school textbook and some library loans) but this one is well-organized--in a logical manner that clarifies the lessons.The illustrations are meaningful and helpful, and you get to apply concepts with a protractor, compass, and ruler, all of which makes the lessons more understandable.The introductory sections in each chapter are interesting hooks that connect the topic of the chapter to real life or to geometry's significance in history.Actually the book tries to do that throughout, even through the exercises. It is not heavy on proofs, but then again there are other geometry books which only teach that.It's a great book to get a good grasp of the subject and I highly recommend it. ... Read more

22. The Geometry of Sisters: A Novel
by Luanne Rice
Mass Market Paperback: 400 Pages (2010-03-23)
list price: US$7.99 -- used & new: US$1.77
(price subject to change: see help)
Asin: 0553589776
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description
New York Times bestselling author Luanne Rice explores the complex emotional equations of love and loyalty that hold together three pairs of remarkable sisters, in an unforgettable story of loss, redemption, and forgiveness
The storm off Mackinac Island that engulfed Maura Shaw’s husband and elder daughter,Carrie, also swept away the illusion of her life as the perfect midwestern wife and mother. Now, after years away, Maura has returned to Rhode Island to teach English at the fabled Newport Academy and to seek a new beginning. Newport has never failed to infuse Maura with a sense of mystery and hope, but ever since the accident, her younger daughter, fourteen-year-old Beck, has retreated into the safe, predictable world of mathematics. Without Carrie, Beck has lost half of herself—the half that would have fit into the elite private school she and her brother, Travis, will attend. The half that made things right. Sixteen-year-old Travis is also struggling to adjust—juggling a long-distance first love and an attraction to a girl with a wicked sparkle in her eye. And for Maura, ghosts linger here—an unresolved breach with her own beloved sister and a long-ago secret that may now have the power to set her free. . . .
 Amazon.com Review
Amazon Exclusive: Luanne Rice on The Geometry of Sisters

Luanne Rice is a New York Times bestselling author whose moving novels of love and family have inspired the devotion of readers everywhere. Rice began her writing career. She is the author of twenty-six novels, most recently Last Kiss, Light of the Moon, What Matters Most, The Edge of Winter, Sandcastles, and Summer of Roses. Rice lives in New York City and Old Lyme, Connecticut. See more of her books in the Luanne Rice Author Store.

I grew up in a triangle of sisters, the oldest of three girls. Invisible lines stretched between us, never quite equidistant. Within our tight threesome, one always felt a little left out.We told each other everything, except the occasional deep, dark secret.And when one learned the other two had known, it was a knife in the heart.

The Geometry Of Sisters tells of three sets of sisters, the amazing and treacherous ways they love and protect each other.It’s set in a New England prep school, on a cliff in Newport, Rhode Island.Newport, because my sisters and I lived there the year after our father died, and prep school because...

My youngest sister was (and is) brilliant and the most sensitive girl on earth.My mother taught at our junior high.It was a rough school, and some kids gave us a hard time for being a teacher’s daughters.My middle sister and I survived, but I decided our youngest sister needed a different environment.My father was sick, my mother preoccupied with his illness, so I felt it was up to me.

I researched private schools at our downtown library, got lost in catalogues promising fine academics, graceful architecture, rolling hills, tradition passed down from class to class, a sense of safety and enclosure.I thought somehow, in a school like that, my sister would be protected from life’s pain and dangers.

She was accepted to Miss Porter’s School with a full scholarship.She spent four years there, a test for our triangle.My middle sister and I would drive her to school, take her to the Farm Shop for lunch, find ways to keep us all close.

When she went to Deerfield for “Winterim,” a month-long winter study opportunity, she asked my middle sister up for the weekend and a dance.This was one of my left-out times. I could have invited myself along, but such is the delicate sensibility of sisterhood--it’s the asking that counts.Equally, there have been occasions I’ve excluded one sister or the other, put her in the middle, known that she felt hurt; sisters feel the shards of each other’s pain.

Life has taught me that the visible connection among sisters is no more intense and permanent than the unseen one. Welcome to the geometry of families.Are you part of a triangle, a straight line, a parallelogram, a circle?Are you a single point?Family members exist in relation to each other, not in bloodless planes, angles and lines, but in love, joy, hurt, and sorrow.

My father died in April the year my sister graduated from Miss Porter’s.Death made us sad and wild.The three of us moved to Newport--we left home, but stayed together.My sisters worked at a boatyard; I wrote fiction.We spent evenings on Thames Street and at Bannister’s Wharf.I met a boy with deep-sea eyes.He lived in his family’s warehouse on a cobblestone alley; he painted boats.We took walks.

My sisters and I were far from the protected enclosure of a New England boarding school, but how safe had it been, anyway?My father had died while she was a student there.Nothing could bring him back, life would soon take the three of us in different directions, and all those racing yachts and Australian sailors were an obstacle course of sorts.

But that summer I had a boat-painting friend, and my sisters and I lived under the same roof, and the first seeds of the story that would become The Geometry Of Sisters were planted. --Luanne Rice

(Photo © Gasper Tringale)

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Customer Reviews (23)

4-0 out of 5 stars Lines connecting sisters in the past and present
This novel revolves around 4 sets of sisters- 1 set in the past, 2 sisters along with their mother and aunt, and 2 sisters that are friends of the girls. Carrie and her mother and brother are moving back to her mother's hometown after her father's death in an accident and her sister's subsequent disappearance. They will attend a private school where her mother will work. Beck is having a hard time adjusting and delves into the world of mathematics which she loves. She becomes friends with Lucy whose sister, Pell also goes to the school. Their father is also dead and their mother has left them to live abroad. Her mother is working on reconnecting with her estranged sister and is desperate to find her missing daughter. The historical girls are connected to the school's past and are purported to be ghosts. They lived on the fourth floor of the school and had the exclusive pool on the roof that mysteriously seems to be back in use. We find that there is a tangled geometry connecting all of these sisters and their stories and pasts are slowly revealed through the course of the novel as is their present and the choices that led them here. It is an interesting story of relationships and worth reading.

1-0 out of 5 stars Utterly awful!
As a fan of Beach Girls, I couldn't wait to read this book, but it didn't take long to realize that this book was poorly conceived and poorly written. If Luann Rice is to be judged based on this book, I can honestly say that I will never pick up another of her books.

When Ally comes to visit Travis and they go out to the club. Ally is described as wearing a blue strapless dress. A mere seven pages later, Ally and Travis leave the club and they are making out in the car, when somehow Travis manages to "slip her straps off of her shoulders". Seriously??? WHAT straps?

From leaves that call out Carrie's name to her sister, to a mother who casually misplaces a notebook that contains clues to the whereabouts of her missing daughter, to a young mother who cannot wait another minute to venture out on foot with her baby even though there is a serious snow storm in progress. Plausablity is stretched beyond any reasonble limit.

Unrealistic plot lines, ridiculous characters, and flawed writing make this one of the worst books that I have ever read...and I read a lot of books. I strongly suggest that Ms. Rice take more time to iron out obvious defects in storyline, and character development and write fewer books.

5-0 out of 5 stars Great Book
I think Luanne Rice is one of the best story tellers out there.I love all her books.This one is a must read. You will love the story.

5-0 out of 5 stars This is a good weekend read, because it begs not to be put down until finished.
Everybody knows that sisters have a special bond. Beck Shaw knows this, because she and her older sister Carrie had a great relationship. Travis, the middle child, knows this because he has seen that there are some things about Carrie that she would only tell their little sister and not him. But Carrie has run away, and that means bonds in the family have been broken.

Maura, their mother, has her own sister to think about, because they've been estranged for years. She is distressed about her daughter and has done everything she can to get her back. Carrie ran away after being involved in the same accident that killed Maura's husband, Andy. Finally she decides to move her family from Ohio to Rhode Island, where she will become a teacher at her former school.

Newport Academy is a strange experience, not only for Maura, who keeps running into people connected with those she used to know, but also for Beck, who is just starting high school, and Travis, who is becoming a football star but can't help feel as if he is adjusting too much compared to his mother and sister. But slowly they all do, while feeling haunted by their individual and collective memories of Carrie and Andy.

Beck becomes a math star, and she and a new friend spend hours trying to find the secret to infinity. Both girls who have lost fathers, they believe this is a way of getting back to them, when in reality it may just be their way of grieving. In addition, Beck investigates an old school mystery regarding a rich student who died in a terrible accident. Mary, the ghost of Newport Academy, also had a sister, and Beck finds solace in reading their shared journals. Her math teacher, Stephen Campbell, develops a relationship with Maura, who feels troubled about an old love affair she had with a man who still lives in Newport --- and who is friends with Stephen. She has a deep, dark, 18-year-old secret, which in turn is a part of Carrie's reason for running away.

THE GEOMETRY OF SISTERS is, fittingly, as complicated a tale as geometry itself, with interwoven stories and strange connections between people. In that way it reads almost like a thriller, or a movie. However, at its core are emotion and family ties. Sisterhood plays into dozens of relationships and conflicts within the story. Luanne Rice examines how sisterhoods evolve through time and how they can be torn apart.

At times the novel seems too easy --- less literary and more like chick lit. But it manages to stay away from that because of its scope. Constantly changing points of view, it takes us from Beck's view of her mother and then to her mother's view of Beck; later we learn what Travis thinks, and how Carrie is functioning without her family. Maybe a bit too jumpy, THE GEOMETRY OF SISTERS is ultimately richer because of its ability to look at the same family from a variety of angles.

This is a good weekend read, because it begs not to be put down until finished. It flows easily and cleverly places suspense and romance throughout to catch a variety of readers. The book is perhaps simple in its writing, but it's still worth a read.

3-0 out of 5 stars Good but not great
This book was actually good. It just wasn't for me.

The Geometry of Sisters starts with Maura Shaw moving away to Newport, with her two children, Beck and Travis. Maura's daughter, Carrie, is missing and the detective on the case has failed to find any trace of her. Maura is the only one looking forward to the change to Newport. Travis misses his girlfriend, Ally, while Beck is antagonistic to moving away from home, where Carrie could be.

As the story progresses, Maura's perfect outer facade cracks as she comes across elements of her past that she had hidden for years. At the same time, Beck resorts to stealing, as a way to battle her demons. She had been caught and accused of stealing back home, and was in therapy. Travis finds that he is developing feelings for Pell, a girl in his school, whose sister, Lucy, is Beck's close friend in Newport.

I thought this story was pretty good, but somehow I could not connect with any of the characters and their problems at any point, except one. That one moment was late in the book, when I actually felt a character do a sensible action - sensible according to her situation. There are a lot of characters introduced in Newport, who didn't kindle any sort of interest in me. There is J.D., who became paralyzed the day the woman he loved left him, Steven Campbell, the math teacher, who has made helping the Shaw family his responsibility, Pell and Lucy Davis, another pair of sisters, whose story is told in this book's sequel, The Deep Blue Sea for Beginners. Then there is Katherine, Maura's long-estranged, would-be-no-longer-estranged sister.

The many emotions captured in the book felt shallow for me. In addition, Beck often talks about sisters, her family, her problems, and her relationships in very mathematical terms. I didn't mind it initially, but after a while, it got tiring to see so many things expressed in math terms. The audio book narrators however did a very good job. I would recommend this book to anyone who likes reading books about families and sisters. Since neither theme is for me, I will stay away from this genre. ... Read more

23. Geometry of Design: Studies in Proportion and Composition
by Kimberly Elam
Paperback: 96 Pages (2001-08-01)
list price: US$21.95 -- used & new: US$11.27
(price subject to change: see help)
Asin: 1568982496
Average Customer Review: 4.0 out of 5 stars
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Product Description
At last, a mathematical explanation of how art works presented in a manner we can all understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life.

Geometry of Design-the first book in our new Design Briefs Series-takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration (from the Barcelona chair to the Musica Viva poster, from the Braun handblender to the Conico kettle), revealing underlying geometric structures in their compositions. Explanations and techniques of visual analysis make the inherent mathematical relationships evident and a must-have for anyone involved in graphic arts. The book focuses not only on the classic systems of proportioning, such as the golden section and root rectangles, but also on less well known proportioning systems such as the Fibonacci Series. Through detailed diagrams these geometric systems are brought to life giving an effective insight into the design process. ... Read more

Customer Reviews (24)

5-0 out of 5 stars Love this kind of stuff
I am always on the look out for info on the Golden Section and this little book has some great info and diagrams on the golden section. There are some interesting analysis of art and graphics from the past. I take some of the comments with a grain of salt but this is a good one for any aspiring artist and graphic designer.

5-0 out of 5 stars Highy Recomended
I thinkthis book graphical display it point wonderfully. I bought two copies of this book one for me and another for a proffesor of architecture who is a friend of mine. I would highly recomend this book.

4-0 out of 5 stars Good book for design students
This is a good book for the graphic design student. It offers information that you probably WILL NOT encounter in a classroom. It has alot of great information for those of us who aren't mathematically savvy, but can understand visual proportions and the book offers alot of examples with nice semi-transparent grids and overlays so that you can view the images within the context of the authors talking points.

This book WILL NOT however teach you how to use the information as a strict method of design. In other words, it gives the reader the power to understand and use the information as a compositional aid, not a strict guideline for layouts like a grid system.

Overall, I would say that if you feel that you already have a thorough knowledge of grids and/or an understanding of the golden ratio, than this book may be slightly redundant for you, but if you are new to art/design, than this book will offer alot of useful information in a quick, easy to understand read.

I would suggest reading this book in conjunction to one of the many great books about grids so that you can gain further understanding of the information.

4-0 out of 5 stars Good book for designers
This coffee table book is one of my favorites.It doesn't go in depth into the subject matter but rather grazes over real-world examples with diagrams and simple explanations.Fun book to read, but not for the serious of study.

3-0 out of 5 stars From Architect Perpsective
I bought this book primarily to see the studies of proportions in architecture.There are very few examples (really only 4 pages dedicated to that subject and 3 buildings analyzed) shown here.It does, however, give a myriad of ways to lay out different proportions using rectangles, circles, triangles, pentagons, etc.These, along with the examples of proportion in nature and on the human body were enough to spark my imagination as to how proportion can be used in design of buildings, but if you are looking for broad analysis of architectural proportions, look elsewhere.The examples that are given are mainly of poster design in the 1900s and Modern furniture design. ... Read more

24. Geometry Revisited (Mathematical Association of America Textbooks)
by H. S. M. Coxeter, Samuel L. Greitzer
Paperback: 207 Pages (1967)
list price: US$29.95 -- used & new: US$29.65
(price subject to change: see help)
Asin: 0883856190
Average Customer Review: 5.0 out of 5 stars
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Product Description
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed. ... Read more

Customer Reviews (8)

5-0 out of 5 stars Fun and hard
If you pass through the Geometry, the book is fun and light.If you study the Geometry again, the book is honest and hard.

5-0 out of 5 stars An excellent book on elementary Euclidean geometry
This book, which has been available for quite some time, is still a great place to learn about topics in Euclidean geometry which you probably will not cover in a typical middle or high school math class.The level is completely elementary, meaning that anyone with knowledge of pre-calculus will be able to read this book (if they are sufficiently dedicated).The quality of the exposition is superb, and the mathematical content is interesting and varied.

While people who are interested in recreational mathematics will definitely find this book interesting, perhaps the audience for which this book will be most profitable are middle and high school students preparing for mathematics competitions.It is a considerable advantage, especially for the more difficult competitions, to know the techniques and theorems covered in this book.

If you're interested in learning geometry you may not have covered in school, or are preparing for math competitions, buy this book.

5-0 out of 5 stars The best text on Elementary Geometry in English
This is one of my three favorite texts in Elementary Geometry, and the only one written in English. It's a multipurpose text. You will probably won't cover these material at school, but if you are interested on math contests, or more serious geometry study, this is also a good text to follow to learn, or if you, like me, learned most of this material overa decade ago, but need a good text as a reference, this text is a great to do so. Dearly recommended.

5-0 out of 5 stars Great book
This is a wonderful book if you want to gain a real understanding of what geometry can be (if you like this book you should buy the biography of Coxeter: "King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry" - it is one of the best biographies of a mathematician on the market and shows that Coxeter was a genius and a hoot).However, if you know a significant amount of geometry, then try "Introduction to Geometry, 2nd Edition" as that is the more complete (and (very) much more rigorous) text.Also, if you like this book, then buy "Visual Complex Analysis".

PS.My son is using this book in his high school geometry course (at my insistence) rather than the 'text' he was issued.He is now assisting the teacher with the proofs and problems.

5-0 out of 5 stars Incredibly helpful
I just worked through this book & I have to say that it's probably the best for "what's next" after high school geometry. It's got a chapter on each of the following things: triangles (with Ceva's & Steiner-Lehmus' theorems, orthic triangles & Euler lines, etc), circles (like power of a point, etc), collinearity & concurrence, transformations (Yaglom's series of 3 books are better for these though but this is a good introduction), and an intro to inversive geometry and projective geometry. One section that blew my mind is the one about the "3-jugs" problem where you've got a jug that holds 8L, one that holds 5L & one the holds 3L and the goal is to get 4L in each of two jugs. Maybe you've heard of it...? This book gives a general method for solving problems like that using reflections. I liked how each section is very short and typically has just 2-3 theorems, so the book is split into manageable pieces. Maybe it's just a psychological thing, but I like that. Depending on the section, there are 3-10 problems at the end of each section; like any book there are easy ones with fairly obvious solutions and there are hard ounes that take a lot of thought. I think the hard ones might have come from olympiads because Sam Greitzer was a USAMO coach at some point. It doesn't matter though, this book gives you a lot of tools you can use to deal with olympiad-level problems. A couple good ones to work on after this book would be Johnson's "Advanced Euclidean Geometry" and Court's "College Geometry", both out of print unfortunately but maybe a nearby library wold have them? ... Read more

25. Discovering Geometry: An Inductive Approach
by Michael Serra
Hardcover: 834 Pages (1997)
list price: US$47.50 -- used & new: US$15.00
(price subject to change: see help)
Asin: 1559532009
Average Customer Review: 2.0 out of 5 stars
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Product Description
...will spark new excitement in your geometry classroom, involving your students and making them active participants in their own learning ... Read more

Customer Reviews (29)

5-0 out of 5 stars Best Geometry Book Ever
This geometry book is clearly written, has interesting visuals, usea excellent teaching strategies, and is simply the best book available.High school students at various levels seem to respond well to the textbook.I know math teachers who think this book is far superior to any other.

I wish they'd had geometry books like this one when I was in school!

1-0 out of 5 stars AWFUL
I am an eighth grader taking Geometry, so it is obviously advanced.However, this book is not helpful AT ALL in learning.It is so frustrating to not even have a glossary in the back to find definitions, and the book does a very bad job of explaining tough concepts.If you are a teacher, please try a different book.

1-0 out of 5 stars Worst text book ever made
This is by far the worst text book i have ever seen or had to use. Unless you are an expert at geometry or have a great teacher this book will be useless to you. It gives no anwsers to the odd problems and there is no glossary. Because of this i dont know if my answers are right or wrong. I usually try to find the way to solve problems myself but since this book gives no examples on how to do anything i cant. I feel sorry for any other person who is like myself, and is forced to use this sorry exuse for a text book.

1-0 out of 5 stars Stupid, Childish Book
This book was the bane of my existence throughout 9th Grade Geometry. Having had a year of arealmath book this year I am finally able to realize just how stupid the book was. It treats the student like he or she is about two years old, does not provide the information necessary for exam review, and is far too colloquial in general. In addition, it has no answers in the back, just "Hints" in the back of the book that either do nothing at all to help or solve the problem completely without explanation. It also says "SHAME ON YOU" if one looks at the hints without first trying the problem. Personally, I don't enjoy being chastized by a math book, especially one with such a bad approach to Geometry,

1-0 out of 5 stars I HATE THIS BOOK!!!!
OMG! This book was so complicated to understand. They expect you to know everything. Because of this mindless crap, I failed Geometry and had to take the regular one. And the worst part is that they don't include enough examples to explain how to work the problem. I wouldn't recommend this God forsaken piece of crap to anyone who wants to do good in Geometry. ... Read more

26. Geometry: Applications and Connections
by Allan Berele
Paperback: 97 Pages (1994-05)
-- used & new: US$12.06
(price subject to change: see help)
Asin: 0028244443
Average Customer Review: 4.0 out of 5 stars
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Customer Reviews (4)

5-0 out of 5 stars Fabulous! Merrill Geometry Applications and Connections
The book is just as described.Seller was quick to ship!Would definitely do business with this seller again!

5-0 out of 5 stars Merrill GEometry & Applications
Fast service and the book is in excellent condition for a very a good price.

5-0 out of 5 stars Merrill Geometry Applications and Connections
It was a bit "beat up" but for the price - it was great!

2-0 out of 5 stars Invalid Proofs, Disorganized Postulates
This book seems to be pretty good until it gets to the proofs section. At that point, it requires you to complete their invalid proofs which take information that are not given to make correct uses of the postulates that they defined. I am still in search of a good Geometry book, and this is not the one. ... Read more

27. Discovering Geometry: An Investigative Approach (Discovering Mathematics)
by Michael Serra
 Hardcover: 859 Pages (2008)
-- used & new: US$147.94
(price subject to change: see help)
Asin: 155953883X
Average Customer Review: 3.5 out of 5 stars
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Customer Reviews (8)

5-0 out of 5 stars Amazing
This is what we really needed.It take a little bit long but well worth it.

5-0 out of 5 stars Very attractive approach to teaching geometry...
...takes a "hands-on" approach so that a student is required to actually "do" geometry -- as opposed to memorizing postulates and then stacking them to generate proofs...in so doing, the student taken through typical stages of investigation -- an observation leads to a speculation leads to an hypothesis that leads to a search for what is needed to confirm the hypothesis...what the student acquires are skills at problem solving that are more general, more realistic, and more practical to the real world...more mathematical types might argue that there's not enough good ol'Euclid...however, my opinion is that Euclid and his proofs are basically mind numbing and I know of no evidence to suggest that such an approach is particularly beneficial...

2-0 out of 5 stars From A 9th Grade Geometry Teacher
This Geometry book is designed for students to learn through investigations of conjectures with hands-on activities.Sounds great...but it's not at all.Many of the activities deal with the use of patty paper, or tracing paper, and heavily emphasizes the use of geometry tools such as compasses and protractors to create types of lines, angles, or polygons.Many of the activities are difficult for students to see the relationships the book wants them to discover.The homework assignments are TERRIBLE!Many of the problems are extremely difficult, or just too simple.The online teacher materials are a joke.They offer a worksheet for each section of the book that contains many of the same problems the book does.The online assessment resources are awful.Even worse, if a student needs to take a book home, and they don't understand - the book doesn't explain the conjectures to the reader, it makes them try to discover (or rediscover) them doing ridiculous patty paper activities.It is a very difficult book for a student to read to get quick information on how to do a problem.

The only reason my school district chose this book is because the publisher's Algebra and Algebra II books are excellent, and they wanted the students to experience a similar format for their Geometry class.But this book is horrible.

5-0 out of 5 stars just like I expected
The book arrived fast and in great condition.I was happy with the service although I was worried a little before the book arived, because the seller didn't respond to me email.

1-0 out of 5 stars Awful, awful textbook
I had the misfortune of learning geometry from this textbook as a student, and now I have the misforture of teaching from it. I remember hating math as a high school student, and textbooks like these were the culprit. In high school, math was always presented as a set of problem-solving techniques that I had to learn and memorize. I was generally able to solve whatever problems came my way, but it always seemed like a trivial and pointless exercise. Luckily, I had some great college professors who made me realize that math was much more than memorizingalgorithms, but a comprehensive logical system grounded in deductive reasoning.

Geometry is the only math course in which rigorous deductive reasoning can be made accessible to high school students -- and not surprisingly, it was the first area of mathematics to be axiomatized (by Euclid). Unlike algebra or calculus, almost all of the theorems and formulas in geometry can be systematically obtained from postulates in a way that is intelligible to high school students; on the other hand, I have yet to see an algebra teacher attempt to prove Cramer's Rule or the Binomial Theorem to their students. The fact that geometry introduces students to a different, mathematical way of thinking is the only justification for maintaining geometry as a standalone math course, rather than integrating it into algebra courses. Otherwise, the "facts" of geometry are nothing remarkable in themselves. So what if opposite sides of a parallelogram are congruent? It wouldn't be that difficult to teach students that "fact" in an algebra class when they're learning about slopes of parallel lines. But what's important is that students understand and see how this fact derives systematically from already known facts.

What does all this have to do with the book at hand? "Discovering Geometry" reduces geometry to the same collection of facts and algorithms that students have been doing in every math class since elementary school. While the problems that Michael Serra devises are occasionally interesting and even clever, he completely misses the point of geometry -- to understand WHY those "facts" are true.

Unlike many critics of this book, I do not have any inherent qualms with the investigative approach to learning geometry. Investigation plays a central role in mathematics, and I applaud the author for giving inductive reasoning its fair shake in this book. But investigation has become more of an ideology than a pedagogical tool in this book. Even my weakest students groan at having to do some of the investigations, whose results they deem obvious. There are simply too many unnecessary investigations, many of which exist only to aggrandize the author's educational philosophy.

As a student, I used the second edition of this book. The author has clearly made significant improvements for the third edition, but there are still serious pedagogical flaws. While Chapter 13 is a valiant attempt at introducing students to the deductive method of geometry, it is too little, too late. High school math classes rarely reach the last chapter, and separating the proofs from the theorems themselves feels artificial and contrived. The author makes another questionable pedagogical decision to area and volume into nonconsecutive chapters, Ch. 8 and 10 -- just so he can prove the Pythagorean Theorem using area in Ch. 9. But if he would only introduce similarity before the Pythagorean Theorem, he would be able to prove the Pythagorean Theorem using similar triangles in a much more elegant and motivated way.

The unorthodox ordering of topics to which I have previously alluded creates problems for even the author. There are many practice problems that require concepts or techniques from later chapters. For example, students are asked to construct a square in Chapter 3 given a diagonal, before either the properties of quadrilaterals (Ch. 5) -- or even the properties of triangles (Ch. 4) -- have been introduced! How students are supposed to "guess" that the diagonal of a square bisects the angles -- I do not know. Furthermore, the first proof in the text is a paragraph proof that the perpendicular bisectors of a triangle are concurrent. I can only imagine the horrified looks on the faces of Serra's students. And these are supposedly students who are having too much trouble with the two-column proofs!

There are outright mistakes in the textbook as well besides the usual typos. On page 333, Serra defines an irrational number as a number whose "decimal form never ends" and a transcendental number as a number whose "pattern of digits does not repeat." So according to his definition, 1/3 would be an irrational number, and sqrt(2) would be a transcendental number -- the former false for obvious reasons, the latter because sqrt(2) satisfies the polynomial equation x^2 - 2 = 0. Moreover, this is something that a reasonably bright high schooler might be expected to know -- much less an ostensibly expert math teacher!

In his manifesto "Tracing Proof in Discovering Geometry," Serra attacks two-column proofs, saying that "so many students fail to master two-column proofs that some teachers are skeptical of claims that all students can learn geometry." While I agree that two-column proofs misrepresent mathematics and make proofs unnecessarily complicated, I'll gladly take them over "Discovering Geometry" any day. ... Read more

28. The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions
by Shing-Tung Yau, Steve Nadis
Hardcover: 400 Pages (2010-09-07)
list price: US$30.00 -- used & new: US$16.02
(price subject to change: see help)
Asin: 0465020232
Average Customer Review: 5.0 out of 5 stars
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String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.

Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

... Read more

Customer Reviews (20)

4-0 out of 5 stars Thought Provoking
This is the best book I have read that explains the mathematics of string theory.However, it left many unanswered question.The book never gave an adequate explanation of what exactly space is.The title of the book, The Shape of Inner Space, doesn't say "what" is being shaped.The glossary at the back of the book was excellent, but again, ironically there was no definition of "space" .Admittedly, "spacetime" was in the glossary, defined in terms of the three spacial dimensions and time as the fourth dimension, yet still no definition of what a spacial dimension is.Another way of putting this, is when we say that space is curved by the presence of mass, what is it exactly that is being "curved".While the mathematical explanation of curvature is elegant and the geometry is beautiful, one is still left with the nagging question of what in reality is being described.I have always been fascinated by Calabi-Yau manifolds and I was thrilled that Yau himself wrote such coherent book explaining the geometry.With the above caveat, I highly recommend this book.

5-0 out of 5 stars Review of The Shape of Inner Space
A really interesting book. While it deals with very high-level mathematics, Yau and Nadis are able to explain it so that it is comprehensible to the average reader who does not have a PhD in mathematics. Much of it also deals with a historical look at the mathematics of the last 20 years or so, and how it has led to advances in string theory. In addition it also explains the interactions between the complex math of high-level geometry and its relationship to string theory, and how the two have worked together to advance each other. Would highly recommend it.

5-0 out of 5 stars "An Extraordinary Journey"
The "Shape of Inner Space" by Shing-Tung Yau and Steve Nardis is an extraordinary journey of the hidden dimensions of the universe. The authors take us on an exhilarating ride through terrains of mathematics and physics. Calabi-Yau manifolds are topological structures and are central to superstring theory. These compacted multi-dimensional structures are rolled up into small shapes, which are unobservable by humans.

As an artist, I found this book fascinating. My work is interdisciplinary and has bridged the disciplines of mathematics, science and art. It will serve as an inspiration for years to come.
I strongly recommend this book.
Irene Rousseau MFA, Ph.D.

5-0 out of 5 stars Math Simplified
An immensely complex subject, simplified in every day terms and made readable for non mathematicians like myself.

5-0 out of 5 stars A Beautiful Book
This book gives a very clear explanation of how geometrical ideas can influence physics.There are almost no math equations in the book, so it is a very good read for anyone who would like to get an idea of some of the core math ideas behind string theory.Lately, there have been a lot of articles and books that would give the lay person the idea that maybe string theory should be ignored.But this book makes it very clear why some of the ideas behind higher dimensional spaces open upfruitful areas which generate a lot of thought.The broken symmetry that we see in the standard model as well as its failure to account for gravity suggest that Calabi-Yau spaces are either a part of the explanation, or are at least a fruitful direction in which to look. ... Read more

29. Sacred Geometry (Art and Imagination)
by Robert Lawlor
Paperback: 112 Pages (1982-06-17)
list price: US$19.95 -- used & new: US$9.41
(price subject to change: see help)
Asin: 0500810303
Average Customer Review: 4.5 out of 5 stars
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About the Art & Imagination Series: Explore a range of interests, philosophies, religions, and cultures—from Kabbalah to Freemasonry, Buddhism to Hinduism, myth to magic. The distinguished authors bring a wealth of knowledge, visionary thinking, and accessible writing to each intriguing subject in these lavishly illustrated, large-format paperback books. ... Read more

Customer Reviews (14)

5-0 out of 5 stars well written - good examples.
this book has a good balance of the practical and the metaphysical for someone looking to understand the inner workings of geometries in more detail.it is the most comprehensive of the books i have found on the subject.

5-0 out of 5 stars A Text Book of Secret Geometry Proofs ("One" not used in schools)
This is an amazing book.This book may appear to be a small book but it is not.Yes it is small physically but spiritually, it is a very condensed text book.The author takes you on a journey of sacred geometry.Reading thru the text is relatively easy but it is time consuming to go thru the proofs.....but well worth the time, effort and work.The author goes back in time to a state of existence when the concept of zero meant literally nothing; when the first number was "One".One meant and still means "Unity".The author provokes the thought of what would our perception of the world be today if the concept of "zero" did not exist?Does it really exist or have we blindly accepted everything that we were taught by those that were here before us?

"The notion of zero also had its effect on our psychological conceptualizations.Ideas such as the finality of death and the fear of it, the separation of heaven and earth, the whole range of existential philosophies based on the despair and absurdity of a world followed by non-being, all owe much to the notion of zero."

The author recommends that you recreate the proofs thru his process of instruction of actually drawing the sacred geometric configurations.The author goes thru many geometric exercises described as workbooks of geometric configurations to prove secrets of creation or of God; following these workbooks results in experiencing creation itself.

"The primary geometric forms are considered to be the crystallizations of the creative thoughts of God, and the human hand, manipulation and constructing these forms, will learn to position itself in the essential poses of gesture-language."

"Why, it may be asked, cannot Unity simply divide into two equal parts?Why not have a proportion of one term, a:a?The answer is simply that with equality there is no difference, and without difference there is no perceptual universe..............An asymmetrical division is needed in order to create the dynamics necessary for progression and extension from the Unity."

Sacred geometry is the crystallization of music frozen in time where music represents time and sacred geometry represents space.

4-0 out of 5 stars A Book of Wisdom to Be Read Slowly
Very, very insightful intro to sacred geometry. If not familiar with this topic, I would suggest one first read the book to get your feet wet in a new way of perceiving what's around you. Then go back, re-read it slowly, and carefully do the math (which isn't difficult, really) and make the geometric constructs on graph paper like the author suggests.You have to do the exercises for it all to fully sink in, and achieve greater comprehension.This book is quietly profound. I only wish it was longer and for this talented author to get into the deeper end of the pool.Lawlor's commentary is often provocative and compelling.

5-0 out of 5 stars A Rare Resource
If you have been looking for the secrets of the Pythagorian Brotherhood, then look no futher - this is the book.Robert Lawlor takes you step by step into the realm of Hermetic Knowledge and connects it all together.

4-0 out of 5 stars Not for the meek.
Great source for a workbook; not an elementary book for the true beginner. ... Read more

30. Geometry: Practice Workbook
by Ron Larson
Paperback: 246 Pages (2006-03-31)
list price: US$2.00 -- used & new: US$2.00
(price subject to change: see help)
Asin: 0618736956
Average Customer Review: 2.0 out of 5 stars
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Customer Reviews (4)

1-0 out of 5 stars Not impressed
My daughter has this book in highschool.Of course it is only a workbook.The teacher hardly uses it, her teacher is great, and actually refers his struggling students to internet sites.What a shame that teachers are bound to books that are useless in the classroom.

1-0 out of 5 stars Not a stand-alone resource
I got this thinking I would be able to practice problems without the main textbook.

I have a math minor but the lack of answers, sample problems, equations, or explainations made this virtually unusable as a tutoring tool.

I'm sending mine back.

3-0 out of 5 stars a decent workbook for Geometry
This workbook is designed to go with the current(2007/8?) McDougall-Littel Geometry text.It has a worksheet for each lesson.Much of them seem to review topics from Algebra or prior Geometry curricula, so the work would be very repetetive for a student with a good grasp of pre-Algebra, and Algebra.It would be best used with a student who wanted to learn Geometry but didn't have a good knowledge of Algebra.

With those cautions, the workbook seems to have good problems and practice in Geometry and Algebra skills.There is plenty of room to work and the exercises are clear.

4-0 out of 5 stars Good practice book if you have McDougal's ref book
I use this book in my geometry tutoring sessions. It is a good source for extra problems for students using McDougal's Geometry at school. It is adequate for tutoring sessions or for homework purposes but it would be hard to use as a self study guide.The obvious cons are;

1. It does not have the answers in the back,
2. Does not include enough "proof" problems... ... Read more

31. Elementary Differential Geometry (Springer Undergraduate Mathematics Series)
by A.N. Pressley
Paperback: 395 Pages (2010-03-18)
list price: US$49.95 -- used & new: US$35.12
(price subject to change: see help)
Asin: 184882890X
Average Customer Review: 4.0 out of 5 stars
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Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:

  • a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
  • Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
  • Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com

Praise for the first edition:

"The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure."

Australian Mathematical Society Gazette

"Excellent figures supplement a good account, sprinkled with illustrative examples."

Times Higher Education Supplement

... Read more

Customer Reviews (7)

5-0 out of 5 stars Definately a good begineers book
If you want a very general introduction of Differential Geometry, this is the book to start. Very nicely written text. Understandable examples. Broad coverage of materials . Explains space curves and surface properties with amazing quality. Recommended as a beginners level introduction

4-0 out of 5 stars Very appropriate for self-study
It's a very good book overall, especially if you like to spend more time reading on your own than in a classroom.

5-0 out of 5 stars Written to teach rather than to impress
I have purchased hundreds of technical books and really treasure the ones that seem to have been written in order to really convey the material rather than impress the reader with how smart the author is. This is such a book. The material is remarkably clear and the author's style strikes me as a notable example of the mathematical writing styles put forth in the articles comprising the text "How to Write Mathematics." For example, the material proceeds in a logical chain such that the reader is never confronted with a term or concept before it has been explained. The notation is defined meticulously and repeatedly so the reader is not forced to continually refer backwards through the text to remember the meaning of the symbols. This also is a boon for "grasshopper readers" who will use the text as a reference, as opposed to a linear reader. Symbols don't change meaning, are not overloaded, and seem to have been chosen for intuitive appeal. For example, a lower-case gamma denotes a parametric function for a curve and, to me, the shape of the gamma suggests the sorts of curves being discussed. In my experience, this book is best in class.

4-0 out of 5 stars An enjoyable text on the subject!
I've been looking for a decent book on differential geometry for years now.Most of the good ones are fairly pricey, or require the reader to have a deep knowledge of mathematics.This fits in neither category.You only need multi variable calculus, linear algebra, and some experience with reading/writing proofs.This book will also appeal to those who want to learn on their own, as every problem has a hint/solution in the back.

2-0 out of 5 stars Dissapointing
The book starts ok, but very quickly deteriorates into the classical boring math style of theorem-proof. There are a million books on the subject matter, and I don't see the need of another one which is pretty much identical. It is not a bad book, but has absolutely no added value - just pick any of the differential geometry books out there, and they will be the exact same thing. Why do they bother writing the same book over and over?? ... Read more

32. Geometry Demystified
by Stan Gibilisco
Paperback: 310 Pages (2003-06-27)
list price: US$19.95 -- used & new: US$6.50
(price subject to change: see help)
Asin: 0071416501
Average Customer Review: 4.0 out of 5 stars
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Product Description
Test provides an effective, and totally painless way to learn the fundamentals and general concepts of geometry. Self-teaching guide offers multiple-choice questions at the end of each chapter, and a 100-question self-test. Softcover. ... Read more

Customer Reviews (8)

3-0 out of 5 stars Solid for review or refreshment, weak choice for self-study
The talented and extremely dedicated person can use almost any reference for successful self-study; the differences between references are in the degree of difficulty. This book is touted as "A Self-teaching Guide", but it is higher on the scale of difficulty of use. Some time ago, I tutored a high school student in geometry and her text was a large hardback over 600 pages in length.
The reasons for the size of that textbook were clear, it takes that much surface area to completely describe the subject at the level of the beginner. Therefore, this book with half that many pages would have to be either efficiently compact or inadequate in explanation. While there are hints of the first, the second is more dominant, it would be very difficult for the beginner to learn geometry using this book. The fundamentals are quickly reviewed, but there is the assumption that the reader has had algebra at the level where they know how to rearrange expressions. Furthermore, it is assumed that the reader understands functions and shapes such as parabolas.
There are eleven chapters with a short quiz at the end of each one and a comprehensive final at the end. All questions are multiple choice and all solutions are included. This would make the book an excellent candidate for a review of geometry, but the swift pace and brevity would make it difficult to use as a reference in a self-study environment.

3-0 out of 5 stars Not for Learning Geometry
This book demystifies geometry simply by offering definitions of geometric terms.And it does that pretty well.It does have quizzes at the end of each chapter but not much in the text to help you calculate the answers if you do not already have a grasp of the concept.For example, chapter one contains a definition of radians and a list of the range of radians for various types of angles ("an acute angle has a measure of more than 0 rad but less than pi/2 rad").That is it for radians.The chapter-one quiz then asks, "An angle measures 30 degrees.How many radians is this, approximately?" and offers four choices.If you turn back to the section on radians for help calculating the answer, you will be out of luck.There isn't any example of how to convert from degrees to radians.So you may struggle deciding that the straight angle is the basis, that thirty degrees is one sixth of 180, and that you need to multiply pi by one sixth to get your answer. If you knew geometry way back when and need a refresher, this book will work well for you.If you are studying geometry and need a supplemental reference, this will also work well for you.If you want to learn geometry, buy another book.This one really is not designed for that purpose.It does, though, contain many useful formulae.

5-0 out of 5 stars Good book, a little confusing at times.
I found this book a little confusing at times, but maybe its me.I still highly recommend it,it is a fresh new angle on Geometry.

5-0 out of 5 stars Not high-school geometry -- thank goodness!
Well, typically most geometry self-teachning books focus on the topics typically covered in a high school geometry class, which I might add are quite simplistic in nature. I skimmed through this book at my local bookstore out of curiousity (I've had good luck with the demystified series, especially physics, by the same author), and what really caught my attention was the coverage of the elementary high school topics in a lean, mean six chapters with the rest covering hyperspace, warped space, polar coordinates, and basic vector mathematics.

The quizzes are pretty good for reinforcing the concepts...they actually make you think (gee, what a concept)! It'd be nice if there were more of the problems, however (but not as many as Glencoe's books do). The tests really give one a sense of being in a classroom, especially since there's a final exam as well.

This book is a gem, and for $13, you can't really go wrong.

3-0 out of 5 stars This is not high school geometry demystified
I took geometry when I was in high school, and my son will be taking it next year so I was looking for something with which to brush up. This book is not it.

First, it does not have any proofs. This was a huge part of geometry 20 years ago, and I can't believe that they no longer teach proofs in today's geometry.

Second, it goes way beyond high school geometry. The last few chapters cover geometry in 3 dimensions as opposed to just planar geometry, and then 4-Dimensional geometry using time as the 4th dimension, and then touch on how n-dimensional geometry would work. I found this really fascinating, and thus 3-stars, but not exactly the 'geometry demystified' for which I was looking. ... Read more

33. Geometry: Concepts and Skills
by Ron Larson, Laurie Boswell, Lee Stiff
Hardcover: 764 Pages (2004-07)
list price: US$114.13 -- used & new: US$64.34
(price subject to change: see help)
Asin: 0618501576
Average Customer Review: 3.5 out of 5 stars
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Customer Reviews (8)

5-0 out of 5 stars just what I was looking for
I was a little worried, but it turned out to be the very same book the class is using (the school didn't have enough books for all the students!).Didn't have to pay full retail price, so that was great.

5-0 out of 5 stars The product was as they described.
I feel the description of the product was honest.The book was rough around the edges but still in good condition.I didn't need a fancy new book so it was just fine for me.

1-0 out of 5 stars Geometry
It wasn't what I expected because I ordered alike new book and received an acceptable book.

5-0 out of 5 stars Great experience!
I received this book in the condition described. I also received it in a timely manner.

5-0 out of 5 stars Good practice
This is a good practice workbook. Each section has detailed examples followed by problems to practice. A good way to reinforce Geometry skills. ... Read more

34. Geometry
by Harold R. Jacobs
Hardcover: 668 Pages (1987-01)
list price: US$106.50
Isbn: 071671745X
Average Customer Review: 5.0 out of 5 stars
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Product Description
Jacobs' highly successful, distinctive text was revised on the basis of users' comments and ten years of classroom experience - perfecting an already acclaimed approach to teaching geometry. "...the book concentrates on making the formal treatment of geometry both attractive and accessible..." The Mathematical Gazette Supplements: Teacher's Guide/Test Masters/Transparency Masters ... Read more

Customer Reviews (8)

5-0 out of 5 stars Geometry by Harold R Jacobs
Very good book for high school level geometry. Concepts are broken down into well organized and small lessons, that way not too much is introduced at one time.
Easy to read, easy to follow, and even entertaining at times.

5-0 out of 5 stars Taught Classes With it Several Times, Fabulous for Home-Schoolers
As the other reviews show...this book is not only lucid and brilliant, but quite accessible. I've taught classes with it starting in Jr. High with gifted youngsters and with homeschoolers starting in the 6th grade.
I regularly recommend this book to homeschool moms because it is not intimidating, and they invariably enjoy it.
Also, this is PURE geometry, untainted by algebra. Probably the first and only time most students have to learn logic and the structure of argument.
A no brainer. This is the best geometry book I've ever seen, hands down.

5-0 out of 5 stars Excellent user friendly geometry text
This is the second book on geometry which I have read almost cover to cover. The first was Geometry by Ray Jurgensen and Richard G Brown written in 2000.Each of these texts seem to me to provide a good introduction to the basics of geometry. I suspect, even someone at the college level, can learn some items which could be quite useful for math, science, or engineering courses.The author has a wonderful sense of humor, which he springles over the text.I have not read the most recent edition of this book, but I hope to one day.This last edition is 17 years younger, having been published in 2004, instead of 1987.

5-0 out of 5 stars The best geometry textbook in existence, bar none.
A very clear, very entertaining textbook for a high-school course on geometry.

This book introduces logical proofs right at the beginning; you may have some difficulty convincing your kids or yourself that you need to work out all these silly logic puzzles in order to begin studying geometry, but you do.

From there on, the book is a sheer joy to read, full of interesting and tricky problems, clear explanations, and of course those famous B.C. and Peanuts clips.

5-0 out of 5 stars Worked every problem
I have no experience with other geometry books--although I did use the Schaum book and other "outline" help books early in the school year as a reference. Actually Jacobs was easier to use than the "outline" help books. Many problems skate close to calculus (limits are introduced) and analytic geometry. Some problems are quite nearly elegant. Highly recommended. ... Read more

35. Holt Geometry Textbook - Student Edition
by Schultz
Hardcover: Pages (2003-06)
list price: US$96.50 -- used & new: US$49.77
(price subject to change: see help)
Asin: 0030700523
Average Customer Review: 4.5 out of 5 stars
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Customer Reviews (2)

5-0 out of 5 stars Book arrived in a timely manner and as described.
I like to keep a copy of my kids text books at home so they don't have to carry a heavy backack every day, and there are no excuses for not doing homework. I try to find them as inexpensively as possible and ordering from Amazon makes it easy. This book arrived in a timely manner and was as described.

4-0 out of 5 stars Great book
This book is what i need it, i have been doing better in my class now i can study at home too. By the way the shiping was faster then i was told. i really recommend the book. ... Read more

36. Geometry Teacher's Activities Kit: Ready-to-Use Lessons & Worksheets for Grades 6-12 (J-B Ed: Activities)
by Judith A. Muschla, Gary Robert Muschla
Paperback: 384 Pages (2001-05-15)
list price: US$29.95 -- used & new: US$18.48
(price subject to change: see help)
Asin: 0130600385
Average Customer Review: 4.5 out of 5 stars
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Product Description
For all math teachers in grades 6-12, this practical resource provides 130 detailed lessons with reproducible worksheets to help students understand geometry concepts and recognize and interpret geometry's relationship to the real world. The lessons and worksheets are organized into seven sections, each covering one major area of geometry and presented in an easy-to-follow format including title focusing on a specific topic/skill, learning objective, special materials (if any), teaching notes with step-by-step directions, answer key, and reproducible student activity sheets. Activities in sections 1-6 are presented in order of difficulty within each section while those in Part 7, "A Potpourri of Geometry," are open-ended and may be used with most middle and high school classes. Many activities throughout the book may be used with calculators and computers in line with the NCTM's recommendations. ... Read more

Customer Reviews (6)

5-0 out of 5 stars GEO Plus
Excellent Resource.Better than I expected.Many Worksheets and Activities.

Last Geo Activity Book I ordered didn't specify it needed a CD which wasn't included.

5-0 out of 5 stars Geometry Teacher
I am always looking for different and hopefully fun ways to teach or reinforce different skills.I like the descriptions of "how to" do the problems and I like the difficulty involved.

2-0 out of 5 stars Not what I was looking for
This book was definitely not what I thought it would be.I teach Geometry in New York State, which is a rigorous Regents course. (10th grade).This book was not organized in a way that you would think. The different topics were randomly placed and many of the activities were either too easy or too difficult.This book was of no use to me.I had to return it.

5-0 out of 5 stars Great Activities!
If you teach middle or high school geometry, you need this book. It contains great assignments designed to help students learn and have fun doing learning. Try it, you will love it.

5-0 out of 5 stars Great material for Geometry
I find the worksheets very useful. I have been using it since day 1 in my Geometry class. It has a variety of exercises and the applications to everyday-situation is interesting. Try it! ... Read more

37. Beyond the Flower of Life: Multidimensional Activation of your Higher Self, the Inner Guru (Advanced MerKaBa Teachings, Sacred Geometry & the Opening of your Heart)
by Maureen J. St. Germain
Paperback: 168 Pages (2009-10-26)
list price: US$19.95 -- used & new: US$19.95
(price subject to change: see help)
Asin: 0972179992
Average Customer Review: 4.5 out of 5 stars
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Product Description
Beyond the Flower of Life is a new Advanced MerKaBa book by Maureen J. St. Germain. If you are looking to enhance the MerKaBa practice or are ready to take it to the next level, this book was written with you in mind. Already practicing the MerKaBa Meditation and want to make it more fulfilling? Maureen St. Germain will give you MerKaBa insights to enhance what you already have. If you are looking for more heart centered awareness and understanding to fulfill your mind's longing, these tools help satisfy your mind, so it willingly quiets. If Higher Self contact is what you are looking for, Maureen offers a practical, achievable roadmap to manifest a 100% accurate relationship with your Higher Self. By teaching the MerKaBa to over 10,000 students worldwide and developing an Advanced Flower of Life workshop to accompany this work, Maureen has developed tools, techniques and knowledge to support your MerKaBa practice.

Beyond the Flower of Life will bring you peace, contentment and mastery. Along with MerKaBa insights, Beyond the Flower of Life offers the new information regarding the opening of the heart, the Christ Consciousness Grid, how to achieve Fifth Dimensional Awareness and going beyond Fifth Dimension. Since there is no higher energy than Love, Maureen believes it should be easy and effortless to marry the ego to the Higher Self producing Heaven on Earth. With almost 15 years as a Flower of Life course instructor and the outstanding success of her CDs, workshops and Sacred Journeys, she has more than proven this to be true. This unique book consists of steps to developing an accurate understanding of the MerKaBa Meditation and its capabilities - while strengthening your heart connection and learning to program your MerKaBa.

Since 1995, Maureen has developed these revolutionary techniques that allow one to gain full reliable access to their Higher Self. With these tools, MerKaBa Meditators will be able to achieve and exceed their understanding of the world around them and keep their heart open all the time. You may conclude that Maureen's Beyond the Flower of Life is the long awaited follow-up to Drunvalo Melchizedek's books, The Ancient Secret of the Flower of Life, Vols. I & II. ... Read more

Customer Reviews (18)

1-0 out of 5 stars item has never arrived to review
I would love to give a review on this book but unlike my other purchases this one never arrived as yet been over a month most come with in two weeks.

3-0 out of 5 stars Good but preachy
The book took awhile to get to me and though it is interesting, there seems to be too much preaching on what not to do. I do recommend learning the MerKaba meditation before reading this book. I plan on getting a CD from the same author on the MerKaBa as I was told the CD is really good.

5-0 out of 5 stars A gift of extraordinary knowledge
I really enjoyed Maureen's knowledge, detailed experiences and spiritual tools she describes in this book...I refer back to it so much and am so grateful to have this book as a supplement to taking her Flower of Life workshops...truly a gift this knowledge is for us all!

5-0 out of 5 stars Dreamwalker
This book is amazing, and I highly recommend it to everyone.Whether your are already on a spiritual path or just starting this book is just what youneed.Having learnt the merkaba from Maureen, she is one of the most gifted, generous and spiritual person I have met.

5-0 out of 5 stars Enlightening
This takes the information that had come in Drunvalo's book to a new level.
The new material is priceless.Highly recommend, if you're into the Ascension
process. ... Read more

38. Sacred Geometry: Deciphering the Code
by Stephen Skinner
Paperback: 160 Pages (2009-03-03)
list price: US$14.95 -- used & new: US$9.17
(price subject to change: see help)
Asin: 1402765827
Average Customer Review: 4.0 out of 5 stars
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Editorial Review

Product Description

A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world.

The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.


... Read more

Customer Reviews (14)

5-0 out of 5 stars An added layer to the Geometry you learned in school
Tight, neat and succinct chapters throughout this book show that the ancients assumed the world was a Cosmos in the sense it was ordered and could be understood.Skinner begins with arithmetic, and Pythagorean number theory, highlighting the Lambda and it's relationship between the order of the planets and the notes on a stringed instrument. Skinner continues on through Geometry as it applies to the Universe, the World, the Landscape, and Man himself.Interestingly, for example, the Yard is a function of Time as well as Length, for example.Early Temples and other constructions are shown to have a relationship to either the Zodiac, the Earth, or Man, sometimes all three simultaneously!Sadly to my knowledge, we have lost the Art of Sacred Geometry for use in our Temples, but the Work has continued on in our mundane architecture, where Skinner presents modern day examples of these principles being applied by modern architects.

Don't let this one slip by if you've developed an interest in the subject!

2-0 out of 5 stars Not useful for education
I bought this book hoping that I could use some of the connections with art in a mathematics course on Geometry.After a more careful reading, I must agree with the previous reviewer who notes the weakness of the mathematics in the book.In addition to the errors regarding irrational numbers, the author misunderstands the concept of fractal geometry and how it truly does relate to chaos theory.On page 59 the author makes the case that the two are unrelated.In fact, the Mandelbrot set, for example, is defined by the boundary between chaotic and ordered recursive behavior.It is all too clear that the author is no mathematician.I appreciate his efforts to connect Geometry to mystical human endeavors, but I wish he had co-authored with a mathematician.I cannot recommend this book for use in mathematics education.

4-0 out of 5 stars Sacred Geometry: Deciphering the Code
Skinner's foray into the fundamentals of sacred geometry lays a sound historical foundation for the mysteries yet to be discovered in other works.Skinner provides the bread crumbs that can lead the serious student down the rabbit hole of Euclid, Plato and the rest of my fellow ancient Greeks as well as the non-Greeks like Kepler, et al. For a modern take on the subject,see Bucky Fuller's friend, Keith Critchlow, and his Order in Space, as well as Robert Lawlor's take on the subject.If your interested in the actual implementation of such designs with your own square and compass (which is the real way to discover the deepest mysteries), check out the Wooden Books series (with an emphasis on the texts: Sacred Geometry, Platonic and Archimedean Solids, A Little Book of Coincidence) or just buy them all like I did.If you are feeling really adventurous and are willing to suspend your disbelief at concepts and experiences that may seem... strange to today's average human, then check out Drunvalo Melchizedek's Flower of Life (Volumes 1&2). Dru dropped some geometry gems in there, no doubt.

Also check out the Geometry Junkyard website for more geometry fun!I found that the hands down best way to grasp the relationships between all geometric forms including (but not limited to) the regular polyhedra is to find the free "Nets" online [...] Then, simply print 'em out and glue them together.Of course, if one can draft the nets with a compass oneself, even better.... but then one wouldn't be reading this review,would one?No book can compare to actually holding such shapes in your hand.

I enjoyed Stephen Skinner's work even though he was often frustratingly vague and lacked a significant depth to some of the more interesting math and geometry to be found all around in nature.However, its an all around good book... Its got a great beat & I can dance to it.

Perhaps I can even excuse Skinner's horrendous blunder on Page 9 that labeled a famous DaVinci rendering of a pentagonal dodecahedron as a "regular icosahedron." (Really Stephen, for shame)!

2-0 out of 5 stars Pretty, thought provoking, but full of errors
I was attracted to the high quality of this book and many illustrations and diagrams which aid in understanding.The book is arranged in short, readable, 2-3 page chapters per topic which can mostly be read separately as you have time.

Unfortunately, a number of errors in the text and poorly written descriptions of the diagrams actually detract from understanding the subject.This is especially true if you want to better understand the relatively simple geometry or math behind the beautiful shapes and natural patterns.The sidebar on the quadratix and custructing root rectangles are frustratingly incomplete for no apparent reason.Other reviewers have pointed out other silly mathematical errors in the book.The author gives you plenty to think about, but you'll have to look elsewhere for accurate description of the concepts.

Perhaps the author was not able to clearly explain understand some of math he didn't understand and the publishers certainly rushed the book to market without a mathematical proofreading.Maybe a second printing will correct these flaws in a book with great potential.For now, I'm glad I picked it up off the clearance rack for under $10.

4-0 out of 5 stars Good book
I would have given the book more stars, unfortunately the last few sections of the book are too christian for my own tastes. The book is well written and presents the information well, but it does fall apart in the end. With all the material of sacred archeological sites, I dont know why the Author chose to stay within the scope of christian churches, when most people who pick up this book are more intrested in the true sacred. ... Read more

39. Sacred Geometry
by Janosh
Paperback: 89 Pages (2007-11-01)
list price: US$29.95 -- used & new: US$14.32
(price subject to change: see help)
Asin: B0032Z6YZU
Average Customer Review: 5.0 out of 5 stars
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
Is there a geometric design to the universe? The ancient Greeks, Mayans, Egyptians, and others believed so, as evidenced by their use of nature's recurring mathematical patterns in architecture, music, and language. Today, this "sacred geometry" finds new expression in the creations of Dutch graphic artist Janosh, whose work has swept across Europe. With SacredGeometry, he shares the life-changing gift revealed to him in a series of meditative visions he received from an energetic intelligence he calls the Arcturians. How does it work? "The geometric forms," Janosh explains, "provide an extra dimension to our natural senses, activating our physical, emotional, and spiritual evolution." Sacred Geometry gives you all the tools you need to realize your highest aspirations, including:* 33 stunning contemplation cards, each with a hologram and its corresponding theme--plus a display easel* 100-page tracing-paper pad and pencil for a kinesthetic experience with the holograms that "imprints" their underlying messages into your consciousness* 80-page hardcover journal for deeper reflection on the qualities and goals you are working towardAlso featuring an 89-page study guide explaining the principles and practical applications of sacred geometry, and a music CD by neuropsychologist John Consemulder for relaxation and focus while contemplating Janosh's art, Sacred Geometry will assist you in the activation of your ultimate potential. ... Read more

Customer Reviews (5)

5-0 out of 5 stars wonderful and inspiring
This cards are great and bring me a lots of joy and inspiration every time I play with them. I recommend it to everybody, who wants to work with awakening of inner codes or just for pure pleasure of enjoying an amazing art!

5-0 out of 5 stars Simply amazing.
Sacred Geometry by Janosh is a beautifully designed, high quality product.The artwork on the enclosed cards is absolutely stunning. I have never experienced such a strong physical experience by viewing art before.It feels both powerful and healing. With the enclosed card holder, I am able to display a new card on my table every day.I am thrilled to have this set and would definitely buy it as a gift for family & friends!

5-0 out of 5 stars Simply Amazing!
Wow, what can I say?This artist is incredibly talented.The entire kit is wonderful and this is one of the best purchases I have made on Amazon.The book that comes with the kit is really simple and informative.I would recommend this as a gift to anyone who is interested in: new thought, mysticsm, personal transformation or any related subjects.

5-0 out of 5 stars sacred geometry
I am only beginning to learn of sacred geometry and this explains it simply. It is more for meditation and if you use it, creates thought provoking results. It also comes with a pad for tracing and that can be meditative as well. It is not appealing to all but it is fun.

5-0 out of 5 stars Fantastic Sacred Geometry Kit!
"Soon after I created the first images, I began receiving information about the significance of these holographic and geometrical visions. This information was delivered intuitively, and I was told that I was receiving it from the Arcturians--highly intelligent entities from another dimension. These entities exist in a different yet parallel frequency, and communicate with our intuitive senses rather than through written language." - From the Sacred Geometry study guide

From Da Vinci's Vitruvian Man to crop circles, nautilus shells to Egyptian pyramids, patterns involving sacred geometry permeate our world. Even sunflower seed heads, pinecones and growth patterns in trees reflect nature's fractals. The organizing principle of sacred geometry spans architecture, paintings, Sanskrit poetry, and even musical compositions.

During the Harmonic Concordance of 2003, Dutch graphic designer Janosh heard the call to meditate for worldwide peace. This was unusual, considering the artist was not at all interested in spiritual topics or meditation at the time.

Several days later, he began to have visions of transparent energies captured in three-dimensional form and began reproduce them through is art. After posting the artwork on his website, he received surprising feedback: apparently, the images were identical to crop circles...a phenomenon he'd of course heard of, but never pondered nor studied.

In the innovative Sacred Geometry kit published by Sounds True, Janosh incorporates a variety of materials designed to help individuals embody and experience the messages of sacred geometry, including a 33-card deck, a pad of 100 tracing papers, soft cover 89-page study guide, specialized 80-page hardcover journal and a pencil.

The breathtaking cards measure 6 ¼ x 4 ¼ inches, with one side showing an explosion of vibrant hues imbuing pearlescent spheres, shimmering lines, and mesmerizing spirals with kaleidoscopic wonder. The other side of the cards depicts a keyword and geometric patterns of squares, lines and circles called "energetic silver codes".

The combinations of multi-color holograms with the codes are called Keys "because they unlock potentials that already exist inside of us". Janosh calls this collection the Keys of the Arcturians.

This box set, which has an easy-open magnetic lid, also comes with a relaxing hour-long musical CD by neuropsychologist John Consemulder, as well as small portable easel for displaying a particular card for meditation or oracular insight. The 8-track CD, featuring vocals by popular Dutch DJ/MC Renske Skills, provides a wonderful backdrop for tracing the silver codes, contemplating the cards, or playing on its own.

The study guide explains four ways to use the Sacred Geometry set: as an intuitive oracle, an intentional oracle, for subliminal messages, tracing codes and self-inquiry with the Sacred Geometry journal. The hardcover journal details a fascinating and accessible process for selecting a "Key of the Week", as well as a "Support Key" and "Question of the Week".

The unique journal provides spaces to record these Keyes, as well as your weekly reflection. Arguably the most interesting part of the Sacred Geometry journal is the section delineating each day of the week where you record a reminder (something that happened that day), your feeling, and +/- to circle if your overall mood for the day (positive or negative). This helps you keep track of your week, especially in light of the Keys you've drawn or are meditating upon.

I've had great success with the Sacred Geometry kit and recommend it highly. I particularly enjoy tracing the silver keys, especially since carpal tunnel prevents me from coloring mandalas. I find tracing the keys even more relaxing and centering than coloring mandalas, and much quicker to do.

My husband is fascinated with the images from the deck, and my 9-year old son uses the easel for displaying a card when he does his homework. A "Crystal" child with a sensitive system, my son sometimes resists certain exercises during homeschooling, and his chosen cards seem have a positive affect on him.

If you're interested in sacred geometry, holograms, fractal art and tactile meditation tools, the Sacred Geometry kit from Sounds True would be perfect for yourself--as well as a gift for those you love.

(To see 6 images from the deck in this kit, visit JanetBoyer.com)

Janet Boyer, author of The Back in Time Tarot Book: Picture the Past, Experience the Cards, Understand the Present (coming Fall 2008 from Hampton Roads Publishing) ... Read more

40. Calculus With Analytic Geometry
by George Simmons
Hardcover: 880 Pages (1996-10-01)
-- used & new: US$162.75
(price subject to change: see help)
Asin: 0070576424
Average Customer Review: 4.5 out of 5 stars
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
Written by acclaimed author and mathematician George Simmons, this revision is designed for the calculus course offered in two and four year colleges and universities.It takes an intuitive approach to calculus and focuses on the application of methods to real-world problems.Throughout the text, calculus is treated as a problem solving science of immense capability. ... Read more

Customer Reviews (23)

5-0 out of 5 stars Calculus with Analytic Geometry
I am a Chemistry and Mathematics major at Marian University.This book is the most readable way to learn calculus on your own.The author makes the information in calculus fun and exciting by adding in interesting scenarios by way of examples as well as history.This is a great book and I highly recommend anyone who is trying to learn calculus formally or informally.Absolutely the best reading math textbook I have ever encountered.

5-0 out of 5 stars Perfect Review for Graduate Study
I am using this book to review calculus in preparation for graduate study in physics after several years out of academic study.Simmons is not only easy to follow, but also sufficiently rigorous for all but the most esoteric purposes.I have really been enjoying the brief but fascinating notes on some of the important figures in the history of calculus (Newton, Leibniz, Riemann, Fermat etc.), whom every science student should be familiar with.

The problems at the end of each section range from easy to difficult, and cover all newly introduced material as well as tying in previously covered material.I recommend buying the solutions manual which gives step-by-step solutions to all the odd-numbered problems.

5-0 out of 5 stars Precise, Accurate, Elegant and Flowing
I own all of Professor Simmons' books not only for their mathematical clarity and incredible instructiveness, but because his books are, in addition, the most interesting books I have read from a literary viewpoint. They are a complete joy to own and to read over and over.

With reference to his Calculus text, it is clearly the best on the market. If you are in search of a deep understanding of the principles and applicability of this subject, then Dr. Simmons' text is the book to buy and own.
Bottom line.

4-0 out of 5 stars Pathos.Tension.
This book will have you on the edge of your seat, from the first linear approximation to the last double integral.It's better than sex (well... maybe not)

5-0 out of 5 stars change your life with this book
I originally learned calculus at OU with james stewart 4th edition, but came to this book through the MIT open courseware readings.I love this book and can't understand why math departments everywhere aren't using this as their text.Simmons' strategy for writing about calculus is unique, and in my opinion the best.He gives quite a bit of history and ties it into physics and the other sciences giving the reader a broad perspective on why the hell it matters and how it came to be.At most state unis, calculus is probably more plug and chug, but if you want a better source of material to supplement your class, buy this book. ... Read more

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