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| 21. Geometry Demystified by Stan Gibilisco | |
![]() | Paperback: 310
Pages
(2003-06-27)
list price: US$19.95 -- used & new: US$3.48 (price subject to change: see help) Asin: 0071416501 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
Customer Reviews (5)
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| 22. Geometry For Dummies (For Dummies (Math & Science)) by Mark Ryan | |
![]() | Paperback: 388
Pages
(2008-01-03)
list price: US$19.99 -- used & new: US$9.28 (price subject to change: see help) Asin: 0470089466 Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Students need help getting a handle on what seems to them to be a totally foreign and mysterious process. This book presents a dozen powerful strategies that make proofs much easier for the students who struggle with them. This book contains dozens of examples of places in a proof where a student is likely to get stuck and then provides tips for how to get unstuck. Mark Ryan has a proven ability to explain concepts in a way that gives students the clearest, easiest, and best way of understanding a concept. For example, instead of routinely listing the properties of various quadrilaterals (four-sided figures) as most geometry books do, relying on rote memory for student learning, Geometry For Dummies, 2nd Edition, explains how these properties (and others) can be learned in a way that fosters understanding. This new edition also includes detailed explanations of how to work example problems, pinpointing areas that can trick students into misunderstanding the true nature of the problem. | |
| 23. Multiple View Geometry in Computer Vision by Richard Hartley, Andrew Zisserman | |
![]() | Paperback: 672
Pages
(2004-04-19)
list price: US$95.00 -- used & new: US$80.07 (price subject to change: see help) Asin: 0521540518 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (5)
It's a good reference book to have.
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| 24. Geometry:Answer Key to Study Guide by Ray C. Jurgensen, Jean A. Giarrusso | |
![]() | Paperback: 112
Pages
(1989-10-09)
list price: US$13.20 -- used & new: US$12.39 (price subject to change: see help) Asin: 0395470757 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
Customer Reviews (1)
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| 25. Elementary Differential Geometry by Andrew Pressley | |
![]() | Paperback: 332
Pages
(2002-09-18)
list price: US$44.95 -- used & new: US$20.86 (price subject to change: see help) Asin: 1852331526 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description 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, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates. The second edition has extra exercises with solutions available to lecturers online.There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections. Customer Reviews (6)
On the other hand, if you fall in the category that most of the math majors at my university fall in (i.e. the category of people who really don't care, they just want to get an A and graduate, and don't care about mathematics), then you'll love this book.Why?Because the solution to every single problem is at the end of the book.In my opinion this is a huge flaw.It would be great if everyone were honest and everybody was genuinely interested in the learning Differential Geometry, but that isn't the case.So 90% of my class simply copies the answers out of the back of the book and hands it in to get a 100 on the homework assignments.Pretty sad if you ask me.The book is almost there.Without full solutions to every problem, this book would get 5 stars.But those students who simply turn to the back of the book 15 seconds after looking at the problem statement will learn nothing from this book, so I have to knock it down 2 stars.After all, what good is a book if it doesn't serve it's intended purpose.Perhaps some people would rate a book by "how easy is it to get an A in the class if this is the textbook", in which case they would probably rate this book 5 stars. Differential Geometry is a hard subject.It's _supposed_ to be hard.We're not talking about taking the reciprocal of a fraction here, it's Differential Geometry.You're _supposed_ to think about these problems for a long time.So if you're a professor considering this book for a course I would recommend against it.The text is good, but the students won't learn anything from it.I've suggested to my professor that perhaps it would be good to not assign problems from the text, but rather get problems from other textbooks where students can't look at the answers. In my opinion that is the only flaw with this book.Otherwise I think it's a great introduction, and about as elementary as you can really make the subject.If another book was too hard, then this is the one for you. Also, if you're interested in this book for self study it's a good choice since obviously you're genuinely interested in the subject matter and won't be tempted to look at the answer at the first opportunity. ... Read more | |
| 26. College Geometry: A Problem Solving Approach with Applications (2nd Edition) by Gary L. Musser, Lynn Trimpe, Vikki R. Maurer | |
![]() | Hardcover: 656
Pages
(2007-03-11)
list price: US$111.60 -- used & new: US$80.95 (price subject to change: see help) Asin: 0131879693 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description For courses in Geometry or Geometry for Future Teachers. This popular book has four main goals: 1. to help students become better problem solvers, especially in solving common application problems involving geometry; 2. to help students learn many properties of geometric figures, to verify them using proofs, and to use them to solve applied problems; 3. to expose students to the axiomatic method of synthetic Euclidean geometry at an appropriate level of sophistication; and 4. to provide students with other methods for solving problems in geometry, namely using coordinate geometry and transformation geometry. Beginning with informal experiences, the book gradually moves toward more formal proofs, and includes special topics sections. Customer Reviews (3)
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| 27. Challenging Problems in Geometry by Alfred S. Posamentier, Charles T. Salkind | |
![]() | Paperback: 256
Pages
(1996-05-21)
list price: US$14.95 -- used & new: US$9.67 (price subject to change: see help) Asin: 0486691543 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (4)
To that end, this book does not disappoint. I highly recommend this book, for it contains such problems, and at the end of the first section of problems, I had developed a sort of intuition for Euclidean 'way' of thinking.I am far from finishing this book, but I think it would take me a few years to do so. The book is broken down into several chapters.The first chapter contains the problems, the next are the solutions, the next are hints to the problem, and finally an appendix of useful theorems and formulas.The useful theorems are mostly the results of Euclid's Book 1 and 3, and the immediate consequences of those theorems, e.g., the sum of the angles of a convex quadrilateral is 360. The hint chapter may be too helpful for it usually outlines the steps you need.I would have preferred several hint chapters that are progressively more helpful.The solution section may show more than one solution to a problem.There were a few times my solution was not found in the back of the book, but that's not a fault of the book, but a delight if you can come up with an original solution! The problem chapter is broken down into what I would call fundamentals and advanced sections.There are over 200 problems. The fundamental section is further broken down into parts, either by method, e.g., similar triangles/pythagorean's theorem, or theme, e.g., problems concerning 'circles' and problems concerning 'areas'.Many the problems can be solved in different ways.The first section of problems can be done with a purely Euclidean style approach.But lots of problems require a *little* algebra, mainly to economize on thought, e.g., a variable place holder for proportions, and a simple formula or two, and of course Euclid's theorems.Each section is not isolated, they sort of build on the first part of this section. The advanced section has a part containing a 'mixture' of techniques to use, and again themes which may not be familiar to the beginner, e.g., Simson lines, and Ceva's theorem. The problems are of proof, or finding the measure of a line, angle, area, or finding the algebraic formula for a collection of objects.So far, I have not encountered a single construction problem.Some of these problems may be quite easy to solve, and some can be quite hard!For instance, one of the problems asks you to prove Heron's formula.The Euclidean proof takes several pages, and I would say is beyond that for a math olympiad.Most problems, are of course, not this hard. You may have a tendency to want to 'angle-chase' or plug and play a formula.Such thinking will cause you to go mad!You'll endlessly try to some up combinations of angles, and construct new ones.Luckily, I broke that habit, and there are enough of these problems for you to break the habit in order to keep your sanity.Find the elegant solution, if you can, and most of these problems have them.And when you do -as George Polya said in "How to Solve It"- you'll see the solution `at a glance'.(It is more rewarding and more difficult, to do away with algebra, and think `purely' geometrically.It's an intuitive appreciation for the problem, and you can hold a longer argument chain in your head.Then, You'll begin to appreciate the qualitative style of thinking that is Euclidean.It's impossible, however, for many cases.) Also, you will need to have another geometry book handy.There were one or two definitions that were unfamiliary to me, and I could not find them anywhere defined in the book.It would be nice on the next edition if they gave definitions of some of the terms.Dont' be alarmed, they were not technical terms, and more along the lines of'what is a median?' Finally, these problems are a good starting point for your own investigations into geometry.By varying a problem found in the 'Geometric Potpourri', I was able to finally figure out how to construct a pentagon, which has been stumping me for many years. To round out your geometry skills, you will also want to do construction problems.I recommend the book 'Geometric Constructions' by George E. Martin, it is text book; so it contains more than just problems, but the problems also require ingenious solutions.(I hope to review this book.) Mr. Posamantier, please print the next volume!! And for those who obtain this book, happy solving!
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| 28. Geometry to Go by Dave Bradley, Lauren L. Darling | |
![]() | Paperback: 494
Pages
(2001-07)
list price: US$26.00 -- used & new: US$15.86 (price subject to change: see help) Asin: 0669481297 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
Customer Reviews (1)
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| 29. Janice VanCleave's Geometry for Every Kid: Easy Activities that Make Learning Geometry Fun (Science for Every Kid Series) by Janice VanCleave | |
| Paperback: 240
Pages
(1994-07)
list price: US$12.95 -- used & new: US$7.22 (price subject to change: see help) Asin: 0471311413 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
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Editorial Review Book Description Now you can discover the answers to these and other fascinating questions about elementary geometryâÂÂthe study of shapes. Packed with illustrations, Geometry for Every Kid uses simple problems and activities to teach about acute and obtuse angles, parallel and perpendicular lines, plane and space figures, and much more! By arranging the pieces of an intriguing Chinese puzzle called a tangram, you'll explore all the different shapes you can form. You'll also learn how to create a colorful 3-D drawing that seems to rise right off the page! And, by building a geoboard, you'll discover a quick, fun way to compare the area of different geometric figures. Each of the activities is broken down into its purpose, a list of materials, step-by-step instructions, expected results, and an easy to understand explanation. Every project has been pretested and can be performed safely and inexpensively in the classroom or at home. Also available in this series from Janice VanCleave: Customer Reviews (3)
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| 30. Advanced Euclidean Geometry (Dover Books on Mathematics) by Roger A. Johnson | |
![]() | Paperback: 336
Pages
(2007-08-31)
list price: US$17.95 -- used & new: US$11.46 (price subject to change: see help) Asin: 0486462374 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (1)
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| 31. Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science) by Joseph O'Rourke | |
![]() | Paperback: 390
Pages
(2001-02-15)
list price: US$42.00 -- used & new: US$26.00 (price subject to change: see help) Asin: 0521649765 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (6)
The mode of presentation -- supporting a discussion of the theories with implementable code -- is actually a bit refreshing.For comparison:Other books, when discussing the line segment intersection problem (ie: Given a set of line segments, find all of their intersection points) simply assume that computing the intersection of a pair of segments can be done in constant time.This is not an especially difficult problem, but the discussion seems more complete with a brief description of how this might be done.The same can be said about other primitive tests and operations in other algorithms. Overall, this book can stand alone as an excellent introduction to computational geometry, but a serious student in the subject will want more: perhaps Preparata and Shamos or de Berg et. al.
The ability to visualize objects in an abstract subject like algebraic geometry boils down to, in the case of toric varieties, to a consideration of how to manipulate polytopes geometrically. A major portion of the book, if not all of it, is devoted to the computational geometry of polyhedra. Because it is an introductory book, some more advanced topics, such as Bayesian methods to find similarities between polyhedra, and neural network approaches to classifying polyhedral objects are not treated. Readers who need to do such things will be well-prepared for them after a study of this book. In addition, there are good exercises assigned at the end of each chapter, so the book could be used in the classroom. Some readers will however choose to use it as a reference source, and it would be a good one, for the author gives references to topics that he only touched upon in the book. Some particular areas that were treated especially well were: 1. The discussion on data structures for surfaces of polyhedra. Although not very general, since he choose to deal with only triangulated polytopes, readers who need to be more general will have a good start in this discussion. 2. The discussion on volume overflow and how to deal with it using robust computation. 3. The discussion, albeit short, of the randomized incremental algorithm. 4. The treatment on the minimum spanning tree and Kruskal's algorithm. Communication network performance optimization is now a major application of this algorithm and others in graph theory, including the author's later discussion of Dijkstra's algorithm.
Secondly, I must criticize the text's scope, in lightof the important role computational geometry has played in modern computergraphics.There is no discussion of clipping, culling, occlusion (e.g.BSP, octree, OBB), or even non-polygon primitives -- important topicsarguably more useful to the target audience than e.g. convex hulls (towhich over 1/4 of the book's pages are devoted). Regardless, this book(combined with a professor and a course) probably would serve quite well asan undergraduate text.Readers interested in a cookbook of appliedgraphics algorithms, however, should look elsewhere. ... Read more | |
| 32. Geometry: Integration, Applications, Connections Student Edition by Boyd, Burrill, Cummins | |
![]() | Hardcover: 910
Pages
(2000-05-26)
list price: US$89.32 -- used & new: US$42.50 (price subject to change: see help) Asin: 0078228808 Canada | United Kingdom | Germany | France | Japan |
| 33. Euclidean and Non-Euclidean Geometries: Development and History by Marvin J. Greenberg | |
![]() | Hardcover: 512
Pages
(2007-09-28)
list price: US$105.95 -- used & new: US$86.06 (price subject to change: see help) Asin: 0716799480 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (13)
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| 34. Math for Mystics: From the Fibonacci sequence to Luna's Labyrinth to the Golden Section and Other Secrets of Sacred Geometry by Renna Shesso | |
![]() | Paperback: 193
Pages
(2007-04)
list price: US$16.95 -- used & new: US$10.16 (price subject to change: see help) Asin: 1578633834 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Much of what we know as math comes to us directly from early astronomermagi who needed to be able to describe and record what they saw in thenight sky. Everyone needed math: whether you were the king's courtastrologer or a farmer marking the best time for planting, timekeeping andnumbers really mattered. Mistake a numerical pattern of petals and youcould poison yourself. Lose the rhythm of a sacred dance or the meter of aritually told story and the intricately woven threads that hold lifetogether were spoiled. Ignore the celestial clock of equinoxes andsolstices, and you'd risk being caught short of food for the winter. "As thoughtful as it is readable, Renna Shesso's Math for Mysticsis the book I wish I had when I first started trying to make sense ofthe mathematics that underlie so much of modern magic and traditionaloccult lore. Not the least of its virtues is the way it makes magicalnumber theory accessible even to those who think they don't like or can'thandle math. It provides a first-rate introduction to a fairly neglectedbranch of magical lore." Renna Shesso's friendly tone, delightful "math lore," meticulousresearch, and clear information makes math easy to understand. Thismarvelous book begins with the simplest lunary and planetary math and thentackles the most enigmatic of numerical esoterica such as Platonic Solids,the Golden Section, Luna's Labyrinth, and Benjamin Franklin's favorite wayto pass the time, "Magical Squares," akin to the 17th century Sudoku. For anyone who tried to understand the Fibonacci Sequence of numbersfrom Dan Brown's (son of a mathematician) The DaVinci Code, this book isfor you! "In times past, math was seen as magic for its power and associations.It was even banned by authorities who thought it a threat--a power that noone else should hold. In this book, that ancient magic is relived, and thepower yours." Customer Reviews (5)
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| 35. Glencoe Geometry, Student Edition by Cindy J. Boyd, Jerry Cummins, Carol Malloy, John Carter, Alfinio Flores | |
| Hardcover: 794
Pages
(2004-03-25)
list price: US$87.32 -- used & new: US$55.82 (price subject to change: see help) Asin: 0078296374 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
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Editorial Review Book Description Customer Reviews (6)
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| 36. Painless Geometry (Barron's Painless Series) by Lynette Long Ph.D. | |
![]() | Paperback: 307
Pages
(2001-07-01)
list price: US$8.99 -- used & new: US$4.71 (price subject to change: see help) Asin: 0764117734 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (3)
That's until I started actually using the book. First of all, who ever heard of a 300-page reference book with only three pages of index? How are you supposed to find things that way? It's missing things like the base of a triangle (the index has neither "base" nor "triangle:base") and how to label an angle. The information's in the book, but you certainly can't find it using the index. Not only that, but the pages aren't labeled like a normal book, with the name and number of the chapter at the top or bottom of each page. You can't find your place in a book that way! There's little depth to the book. There are experiments with pencil and paper, but no real-world examples of where you'd use geometry. Area is calculated in "square units" with no discussion of real units of measure. Pi is introduced with a single paragraph. No explanation is given of its rich history, how it's calculated, or applicability throughout mathematics. The oversimplifications in this book may make life difficult later. The book states that all angles are measured in degrees, and the degrees symbol is generally omitted. Whatever happened to radians? In one of the problems, she asks for the area of a circle with diameter of ten. The correct answer is 100 times pi. The book states the answer as 314. That's an approximation, not an answer! Then we started finding the mistakes. Typos like "Computer the area of a circle" (page 184) I can live with. It's hard core mistakes like these I can't tolerate: The reader is asked to identify what type of triangle has angles of 120, 35, and 35 degrees (page 101). The answer says it's isosceles and obtuse. In reality, it's not a triangle at all, as the angles don't add up to 180 degrees! How's this for a statement of the Side-Angle-Side postulate (page 126)? "If two sides and the included angle of one triangle are congruent to two triangles and the included angle of a second triangle, then the triangles are congruent." Huh? There's a "super brain tickler" on page 163 which indicates, according to the answers in the book, that for squares, rhombuses, rectangles, and parallelograms, all four sides are parallel! No. Four parallel line segments wouldn't ever meet. Those four shapes have two sets of parallel sides, not one set of four parallel sides! .... That tends to leave us with drek like "Painless Geometry." All in all, I found this book to be poorly proofread, ridded with errors, badly indexed, oversimplified, and disconnected from the real world. It may be good as an adjunct for a student having trouble with a real geometry book, but only if there's someone around to explain what "Painless Geometry" omits or misstates. ... Read more | |
| 37. The Geometry of Art and Life by Matila Ghyka | |
| Paperback: 192
Pages
(1977-06-01)
list price: US$9.95 -- used & new: US$5.39 (price subject to change: see help) Asin: 0486235424 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
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Editorial Review Book Description Customer Reviews (6)
The writing was clear, but the concepts were occasionally difficult to understand. The author made mention of "gnomic" growth a number of times without really giving a single clear definition. Also, I felt that a number of the tie-ins between Phi and architecture were a bit of a stretch. Most likely you could overlay any graph over a blueprint and see any proportion you'd want to see. At any rate, this book has gotten me interested in this subject, and I will be looking for more books on Phi.
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| 38. Understanding Elementary Algebra with Geometry: A Course for College Students (6th Edition w/CD-ROM) by Lewis R. Hirsch, Arthur Goodman | |
![]() | Hardcover: 704
Pages
(2005-09-19)
list price: US$142.95 -- used & new: US$118.99 (price subject to change: see help) Asin: 0534999727 Average Customer Review: Canada | United Kingdom | Germany | France | Japan |
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Editorial Review Book Description Customer Reviews (2)
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