Product Description
Covers topics in plane and solid (space) geometry.Pictorial diagrams with thorough explanations on solving problems incongruence, parallelism, inequalities, similarities, triangles, circles,polygons, constructions, and coordinate/analytic geometry. Aninvaluable aid for students. ... Read more

Customer Reviews (3)

Enough review and you get it
I wanted to get better at organizing my mind.You knew they taught Chess at West Point.Right?Well, Geometry makes you think.It makes you think in logical steps for problem solving.This book just gives example after example and exhaustively ingrains how to solve Geometry problems.Along the way it coincidentally builds your endurance for solving other problems.This may not be the best book or the most cutting edge but it has such a huge mass of answers and ways to arrive at them that you will absorb the methods.I like it.You might say that if you stare at these pages long enough that you learn by osmosis.I think there should be a book like this in every field of endeavor.Call it canned experience. Oh, a better typeset would be nice.

Excellent resource, really does the trick.
I bought this book right after I started a class in Linear Algebra where the first chapter had us working some geometric proofs using the rules for vector addition, subtraction, and scalar multiplication.

Although this book strictly focuses on geometry and does not use vectors in its proofs, it did clearly illustrate proofs that were easy enough to think through in terms of vectors.

The book is well-written and begins with a review of Methods of Proof, Lines & Angles, Perpendicularity, and Triangles before getting into specific geometric forms.

900+ pages and 900+ problems with a summary of theorems and properties at the end of the book.Some reviews at Amazon contain complaints about REA Problems Solvers, but I have always liked them and I really like this one.They are not intended to replace a textbook, but to give lots of examples over-and-above what a textbook would include.

For example, a few years ago I was studying College Algebra and I was having trouble understanding logarithms.So I reviewed the examples in the REA Problem Solver for Algebra and Trigonometry and worked some problems along with the REA book and then I saw how simple they really were.I have purchased REA Problem Solvers for Calculus, Differential Equations, and Linear Algebra as well and have found all of them to be helpful with some being more useful or better-written than others.

One of the complaints about these books is that they are all written using a Courier-style font.This is true, but there are still Greek symbols, integral signs, exponents, etc (e.g. you do not see 10-squared written as 10^2 - they use a superscript for the exponent).Another complaint that I have seen is that they contain errors.I have not noticed any, but that does not mean there are none present.I do not review these books cover-to-cover, but take a look at those topics that I need to review, so I may not have encountered any errors but they could still be present.

Purchased new, the books may seem a bit pricey if you are on a budget (nowadays the books have a list price of $30.95 for some subjects and $25.95 for others, with discounted prices ranging between $17.95 and $30.25).I always buy them from the affiliated 3rd-party booksellers on Amazon.I got my Geometry Problem Solver extremely cheap $3.15 plus $3.99 for S&H - total of $7.14 and the book arrived in a couple of weeks and was in excellent condition (like new!).

Most of the time I have spent in the $12-$15 range (incl S&H) for these guides.Even if I only were to find help on a single topic within the book, that, to me, is still a bargain.Especially so if you consider the price relative to the cost of tuition and textbooks.If you are really price conscious, most college libraries have copies that are rarely checked out.Until my copy was shipped, I used the one in our library and saw that it had last been checked out in 2004!

p.s. I am 54 years old and went back to night school and started studying math 3 years ago with College Algebra, Trig, PreCalc, Calc 1,2,3, Diff Eq, and now Linear Alg.I have had REA guides for all of the classes and have found them useful in every case.

GREAT BOOK
A great book loaded with proofs for geometry (SAS, CPCTC, etc) and geometic problems (Pythagorean Therom). ... Read more

Product Description
A 'no nonsense' approach to Euclidean geometry. Loci, constructions, solid geometry and original proofs are interwoven throughout the text. ... Read more

Customer Reviews (2)

Geometry Book Review
To Whom It May Concern:

I totally agree with Mr. Richard Kleinschmidt "RichK" regarding the book not being more descriptive with their explanations regarding the examples, I would rank this book with Geometry for Enjoyment and Challenge by Milauskas et. al. Geometry for Enjoyment and Challenge gives better examples, but some of the exercises in this book are more challenging. Three-dimensional and solid geometry is covered extensively approximately 4 chapters are covered throughout this text. I thought this book was great, the exercises range from the level of difficulty (A-1, A-2, and B) This title does not truly describe the difficulty of the book A Course In Geometry, it should be titled An indepth course on Geometry because thats what it is, this book would definitely cater for an honors class.

The major gripe about this book is that in Ch.15 they mix two-dimensional geometry with three-dimensional geometry basically a square pyramid being broken down into 4 isosceles right triangles and a square and calculating the surface area and volume. Their is no general formula for calculating the lateral area like several books, such as calculating the slant height and the formula lateral area equals 1/2 times the perimeter times the slant height. The three-dimensional part should have been separate and not being merged in two-dimensional geometry and three-dimensional geometry.

My favorite part of the book are the congruent triangle proofs using the asa, sas, sss, and aas theorem, they are quite extensive some proofs take 12 steps. and the areas of segments of circles (hexagons incribed in circles, squares inscibed in circles, equilateral and isoceles triangles inscribed in circles) areas of composite figures (trapezoids and rectangles connected to each other, etc.) the area of six-shaped flower, I feel the authors intentionally on each chapter did not vgive that much examples in a descriptive manner, to make the teacher teach and force the student to learn to think critically by visualizing and using mathematical reasoning. If you want a challenge and get the most out of geometry, get this book. I enjoy reading and solving math problems for fun. I collect books for a living and do this on my spare time. Other positives are the explanation and derivation of three-dimensional theorems such as the surface area and volumes of spheres, cones, etc. There are problems of calculating the area of lune, a fraction of the area of a sphere, that is like calculating the area of a circle in 3-dimensions. That is what a sphere is a 3-dimesnional circle. No other book in high school will talk about lunars, until you hit calculus. This will really prepare an engineering, mathematics or anybody who is in the scientific discipline such as physics, geology, chemistry, economics (social science) or someone who wants a challenge in math and has a thirst for knowledge this is one of the best math books around to prepare to be ready for higher levels of math.


Overall, I give this book 4 stars I would have given 5 if the book was more organized.

A delightful classic
This book covers classical Euclidian geometry.It has been around a long time. (The 1982 copyright date is just the last time the text was revised for printing.The pictures etc. date back to the 1940's.)The exercises are delightfully challenging.

Amazon listed the book's reading level as "young adult".I have been teaching advanced HS geometry classes with this book for 6 years, and I can report that most bright students find the language challenging without someone to help them along.If you are homeschooling etc, you may want to investigate whether you can get the solution text from the publisher.

I give the exercises in the book 5 stars.Again and again I find myself saying: wow I never would have thought of that.The text that accompanies the exercises gets only three stars. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description

This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.

Product Description
Whereas Sacred Geometry introduced readers to two-dimensional forms, Platonic & Archimedean Solids presents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen forms-from the cube to the octahedron and icosidodecahedron-that are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. For anyone interested in design, architecture, and mathematics, this will be a delight.Wooden Books

Small Books, Big IdeasHistorically, in all known cultures on Earth, wise men and women studied the four great unchanging liberal arts -numbers, music, geometry and cosmology-and used them to inform the practical and decorative arts like medicine, pottery, agriculture and building. At one time, the metaphysical fields of the liberal arts were considered utterly universal, even placed above physics and religion. Today no one knows them.

Walker & Company is proud to launch Wooden Books, a collectable series of concise books offering simple introductions to timeless sciences and vanishing arts.

Attractively simple in their appearance yet extremely informative in content, these unusual books are the perfect gift solution for all ages and occasions. The expanding title range is highly collectable and ensures continuing interest. In addition, the books are non-gloss and non-color, appealing to a greener book-buying public. Wooden Books are ideally suited to non-book outlets.

Wooden Books are designed as timeless. Much of the information contained in them will be as true in five hundred years time as it was five hundred years ago. These books are designed as gifts, lovely to own. They are beautifully made, case-bound, printed using ultra-fine plates on the highest quality recycled laid paper, finished with thick recycled endpapers and sewn in sections. There are fine, hand drawn illustrations on every page.

The fast-moving world of Wooden Books brings you a selection of fascinating titles. All hardcover, 64 pages, 100% recycled paper at $10.00 each. ... Read more

Customer Reviews (4)

The intriguing melding of Mathematics,Art,Puzzles and Sculptures
Before even getting into my review,let me congratulate M.Connelly "Polyhedron" for his excellent review ,which gives a good summary of what's in this little book.I also noted that it is the one and only from him; and hope he continues to submit more in the future.
I first came across this series of small,but enchanting books some time ago when I found "Sacred Geometry" by Miranda Lundy,Published in April,2001.I loved it; as you can see by my Review posted on November 28,2003.My interest was really tweaked with these models ,a couple of years ago.I met a man who made this type of models and,spent a few afternoons with him at his home.He also fell in love with these solid models and has built a couple of hundred of them.He is a retired engineer in his eighties and knew H.M.S.Coxeter and Magnus Wenninger.He worked out a way to build these Geometric models using wooden balls for the vertices and sticks for the edges.This leaves the faces empty,thus the solid models become skeletonal;resembling those used to show the arrangement of atoms in compounds.Drilling the holes in the balls is complicated and must be done very precisely.To accomplish this,he constructed a set-up and jigs for this purpose.He paints the balls different colours;creating very interesting configurations.He also built a computer which helps him calculate the angles for the holes and length of the sticks.His computer also allows him to find out what stellations are possible to construct as models,and which ones are not possible.He gave me one of his models and it is one of my prized possessions.
The last page of the book,"Further Reading"will give the reader wonderful insights an exquisit examples of what fascinating solids are possible to construct.I have owned "Polyhedron Models" by Magnus Wenninger,and highly recommmend it;and also highly recommend his excellent Website to view his spectacular models.
I had not known or even heard of George Hart;but now ,thanks to this book,I visited his Website and it is simply outstanding;and a must for anyone who wants to see to what heights these models can be taken.
Oh yes,I wondered what other books existed in this series and a search on Amazon under "Wooden Books" produced anout 35 in all.If they are all as good as the ones I've seen,there are many more treasures to be found here.
If you are a fan of Recreational Mathematics,you may already have "Mathematical Recreations" by W.W. Rouse Ball,a classic,first published in 1892 and published in many later Editions.The 11th Edition contained a new chapter "Polyhedra' by Dr.H.S. M. Coxeter mentioned above.It has been reprinted several times.
If you want to look further in this subject,I strongly recommend the book "King Of Infinite Space"-The Man Who Saved Geometry by Siobhan Roberts in 2006; one of his students.I reviewed that book on February 11,2008.

Geometric Party
The diagrams are simple to see and the information is enough to get started looking for more. Easy language, lay person's terms.

Wooden's done it again
I believe the Wooden Book series is just amazing.Great ideas, and reasy to understand.

I read the book about the Harmonograph, but I believe this book is better.

I really enjoyed learning about what the Platonic Solids are.I really enjoyed the simple proof to why there can only be fine Platonic Solids, too. That is amazing.

My friends wanted me to shut up by the time I was finished with this book, because I talked about it so much.I used it for a College Geometry project, and it really helped.

I recommend this book to anyone who wants to know about mathematical topics that not many people hear about, but at the same time, want an easy read.

A concise, elegant introduction to the geometry of polyhedra.
This is a charming little book.It's very concise, profusely illustrated, and it covers the basic geometry of platonic and archimedean solids.It delightfully summarizes the work of Plato/Theaetetus, Archimedes, Euclid, Kepler, and Euler in only 57 pages, half of which contain only illustrations.As a model-builder who attaches no special religious significance to polyhedra, I was a little concerned when I looked at the other books in the series that this book might be about "sacred geometry."Fortunately (at least from my point of view) it does not contain a word about it, except for a cursory reference to the elements Plato associated with each of the Platonic Solids.A table at the end includes the dihedral and central angles and edge/radius ratios for all the platonic and archimedean solids--all the info a model builder needs!This book won't impress anyone with a mathematics background, but for a layman like me, it's a perfect introduction.Kudos to Sutton for putting this material in such an elegant and accessible format! ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description

Schaum's has Satisfied Students for 50 Years.

Now Schaum's Biggest Sellers are in New Editions!

For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.

Schaum's Outlines-Problem Solved

More than 400,000 sold!

This review of standard college courses in geometry has been updated to reflect the latest course scope and sequences. The new edition includes an added chapter on Solid Geometry and a chapter on Transformation, plus expanded explanations of particularly difficult topics, as well as many new worked-out and supplementary problems.

Customer Reviews (3)

Abysmal typesetting
The content seems okay.Free versions of Euclid Elements are available, though, as PDFs.

The typesetting is terrible, though!Every single image and math font and mathematical character is done with the following problems:
1.Blurry.
2.Faint.
3.Differently sized than the line it is in.
4.Heavily pixellated and blocky.

For example, there is one line that contains "... OA, OB, and OC ..." -- and these three items are in 8-point, 16-point, and 28-point type.There are dozens of typesetting problems like this on every single page.

Every single geometric line is heavily pixelated, instead of crisp.

This book saved my bacon!
This book condenses out the fluff from a typical textbook, and details solution methods for almost every conceivable problem.The price is a STEAL compared to hundred-dollar textbooks.If you are struggling, or if you want a great book to use before that big test, you have to get this book.I'm getting all A's on my Geometry tests now, and their concise explanations helped solidify new concepts.

not for kids
The thing I like about the Schaum's series is that they don't try to be your friend.If you're going to try to sit down to learn something intricate like geometry, you've got some serious work to do, and the sooner you get to it the better.To this end, there are no pictures in the book (other than geometric diagrams, of course), no blurbs on famous geometers or famous applications of geometry.No, this sucker's as dry as a bone.

But that's good.This is a book for motivated, adult learners.You've got your explanations, your worked examples, and then tons of exercises with answers to all of them in the back of the book - not just the odd.The thing I like about this book, now in its fourth edition (white cover), is that it takes an example-exercise approach to geometry, rather than forcing you to memorize postulates.

Even if your teacher is the most entertaining guy in the world, you're still going to have a lot of tedious work to do if you plan on mastering geometry.The way this book is laid out is an accurate reflection of that.

They say that many of these Schaum's outlines, while they might be helpful supplementary material for a course, do not go deep enough to replace the course itself.I would disagree if that charge were leveled against this one:Schaum's Geometry easily provides everything you'd get in a high school geometry course and more.

The only criticism of this book that I can muster is the following:of all the major branches of math, geometry is one you kinda need a live teacher for.For this reason, the Schaum's approach -- in parts -- is unsatisfying.The whole Schaum m.o. of humorless exercises, dry explanations, no pictures, etc. can work very well for algebra, calculus, trig, etc.

But geometry is a different beast.In particular I'm thinking of proofs.Since the Greeks, teachers have laid out postulates for their students, then given them a statement and asked them to prove it.This supernal art is really why I love geometry so much:it's like practice in thinking, and it's why I recommend it to people who want to improve the caliber of their minds even if you don't need math for anything.To quote Greg Mankiw, "Math is good training for the mind. It makes you a more rigorous thinker. . . . Your math courses are one long IQ test. [Colleges and companies] use math courses to figure out who is really smart."To which I add that math -- viewed this way -- properly begins with geometry.

Of course, Schaum's does ask you to do proofs.The problem is, it should not be the student himself who judges if the steps of his proof were fully articulated or not:for that, you need a real live human.If, alone in your garret, you write "Segment AB is congruent to CD" for one step of the proof, but then find that the answer key has it "Segment AB is congruent to CD by the definition of congruent segments," do you give yourself the point?

In other words, being an autodidact might be okay in other math areas, but the whole power of geometry hinges largely, I submit, on some unpleasant Other forcing you to articulate a proof without getting sloppy.

But I don't see how there's much that Schaum's can do about that.Still a fantastic text.

NOTE:The first two chapters of this workhorse used to be a review of basic algebra, but not anymore as of the 4th edition.This was unfortunate.Why did they delete them?Schaum's owns the material:what was the harm in letting them stay in?These chapters have been replaced by a one-page "warning" enumerating all the algebra you will probably need to negotiate this book.But here's the problem:if you don't feel comfortable with some of it, you are referred to Schaum's Outline of College Algebra.The problem with THAT is that the latter book more or less circularly assumes you're familiar with basic geometry, the point of this book!So Dr. Thomas, if you're still at the reins, please put those two chapters back if you put out a 5th edition. ... Read more

Product Description
Originally published in 1911.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

Product Description
This Elibron Classics book is a facsimile reprint of a 1863 edition by Macmillan and Co., Cambridge - London. ... Read more

Product Description
Bound with Logarithmic and Trigonometric Tables compiled by William L. Hart. ... Read more

Customer Reviews (1)

Great for background Math for advanced electronics and celestial mechanics
My background is an undergraduate degree in Chemistry and a minor in geology.I've been interested in flying, astronomy and geology for a long time.I always found that my lack of knowledge of spherical trigonometry has hindered in depth studies of celestial mechanics (as well as celestial navigation), crystalography, Maxwell's equaations, as well a background primer for n-dimensional space analysis in quantum mechanics.I don't know how much this book would help students in in formal class settings because the book requires much time in and of itself.But for a person doing self study it certainly filled in a void in my math background that was never taught in either my high school math course or any of my college courses.
The book was published in 1942 and does not lead into most modern math
courses, but I have found it a valuable resource for my independent studies. ... Read more

Product Description
This book conforms to the recommendations of the National Committee and includes all propositions in the syllabi of the College Entrance Examination Board and the New York Regents in 1946. Index. ... Read more

Product Description
This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an OCR edition without illustrations or index. It may have numerous typos or missing text. However, purchasers can download a free scanned copy of the original rare book from GeneralBooksClub.com. You can also preview excerpts from the book there. Purchasers are also entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Original Published by: William H. Dennet in 1873 in 191 pages; Subjects: Geometry; Geometry, Plane; Geometry, Solid; Juvenile Nonfiction / Concepts / Counting & Numbers; Juvenile Nonfiction / Mathematics / Arithmetic; Juvenile Nonfiction / Mathematics / Geometry; Literary Criticism / General; Mathematics / Arithmetic; Mathematics / Geometry / General; Mathematics / Topology; ... Read more