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1. Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing) by Jeff Cheeger and David G. Ebin | |
Hardcover: 161
Pages
(2008-08-04)
list price: US$35.00 -- used & new: US$29.92 (price subject to change: see help) Asin: 0821844172 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
The basic reference
all you ever wanted to know about differential geometry |
2. 18 Theorems of Geometry: for High School Students by William Smith | |
Paperback: 102
Pages
(2010-06-25)
list price: US$15.99 -- used & new: US$13.71 (price subject to change: see help) Asin: 1450090397 Canada | United Kingdom | Germany | France | Japan | |
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3. Geometry: Theorems and Constructions by Allan Berele, Jerry Goldman | |
Paperback: 224
Pages
(2000-10-16)
list price: US$84.00 -- used & new: US$50.00 (price subject to change: see help) Asin: 0130871214 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
worst geometry book EVER.
Geometry: Theorems and Constructions |
4. Fermat's Last Theorem for Amateurs by Paulo Ribenboim | |
Hardcover: 428
Pages
(1999-02-11)
list price: US$79.95 -- used & new: US$38.57 (price subject to change: see help) Asin: 0387985085 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Title is misleading but a pretty good book
Difficult book but great topic coverage
Great selection of material, difficult book
"Amateur" mathematicians, that is ! If, like me, you are a person who took some math in college, enjoys recreational mathematics books of the Douglas Hofstadter and Ian Stewart genre, and even sometimes picks up the odd number-theory book, you might consider yourself an "amateur." If...if... this might seem like the book for you. I'd suggest that its not. The mathematics in this book and its level of presentation was simply impenetrable by me. Not slow going... "no" going. That's frustrating to admit, but in a way fine, since it affirms of my admiration at a distance of the work that professional mathematicians do. I have seen many cited who state that Wiles' proof is simply beyond the ken of even 95% of working mathematicians. I believe this book must really be intended to serve some fraction of that group.Perhaps within the fold of mathematics these would consider themselves "amateurs". My two stars are offered only for them. The book is simply not for the "lay" amateur. And Ribenboim's titling of it suggests that he does not even know that this lower caste, containing those of us who enjoy recreational mathematics and would describe ourselves as "amateurs", even exists. We know we exist as something mathematically distinct from the general population by the simple fact of the universally raised eyebrows that confront any mention of our interest in mathematics. Nevertheless, like any other species in a niche, we will have to continue to feed on a sparse supply of intellectual sustenance and learn to avoid the over-rich and indigestible fare of the higher forms. Finally, if you haven't read Singh or Aczel I'd offer the former 5 stars and the latter 3 but recommend both. A truly fascinating story.
An excellant work, good for any serious study of FLT. |
5. A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Distinguished Dissertations) by Jacques Fleuriot | |
Hardcover: 140
Pages
(2001-06-27)
list price: US$159.00 -- used & new: US$123.67 (price subject to change: see help) Asin: 1852334665 Canada | United Kingdom | Germany | France | Japan | |
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6. Mechanical Geometry Theorem Proving (Mathematics and Its Applications) by Shang-Ching Chou | |
Paperback: 380
Pages
(2001-11-30)
list price: US$119.00 -- used & new: US$83.00 (price subject to change: see help) Asin: 1402003307 Canada | United Kingdom | Germany | France | Japan | |
7. The L²-Moduli Space and a Vanishing Theorem for Donaldson Polynomial Invariants (Monographs in Geometry and Topology, Vol II) by John Willard Morgan, Tomasz Mrowka, Daniel Ruberman | |
Hardcover: 222
Pages
(1994-06)
list price: US$42.00 -- used & new: US$27.50 (price subject to change: see help) Asin: 1571460063 Canada | United Kingdom | Germany | France | Japan | |
8. Stability Theorems in Geometry and Analysis (Mathematics and Its Applications) by Yu.G. Reshetnyak | |
Paperback: 408
Pages
(2010-11-02)
list price: US$179.00 -- used & new: US$179.00 (price subject to change: see help) Asin: 9048144671 Canada | United Kingdom | Germany | France | Japan | |
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9. Mechanical Theorem Proving in Geometries: Basic Principles (Texts and Monographs in Symbolic Computation) by Went Sun Wu, Xiao Fan Jin, Dong Ming Wang | |
Paperback: 288
Pages
(1994-05)
list price: US$112.00 -- used & new: US$106.52 (price subject to change: see help) Asin: 0387825061 Canada | United Kingdom | Germany | France | Japan | |
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10. Machine Proofs in Geometry: Automated Production of Readable Proofs for Geometry Theorems (Series on Applied Mathematics) by Shang-Ching Chou, Xian-Shan Gao, Jing-Zhong Zhang | |
Hardcover: 400
Pages
(1994-04)
list price: US$115.00 -- used & new: US$115.00 (price subject to change: see help) Asin: 9810215843 Canada | United Kingdom | Germany | France | Japan | |
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11. Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory (Graduate Texts in Mathematics) by Harold M. Edwards | |
Paperback: 407
Pages
(2000-01-14)
list price: US$59.95 -- used & new: US$28.55 (price subject to change: see help) Asin: 0387950028 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Old school algebraic number theory with heavy Kummer bias
great book
Read this if you're seriously interested in math. The answer, of course, is that attacks on the problem revealed deep and important connections between elementary number theory and various other branches of mathematics, such as the theory of rings. Thus, as so often in mathematics, the importance of the problem lies in where it leads the mind, rather than in the problem itself. Harold M. Edwards' book is a minor classic of exposition, showing how the instincts of top-flight research mathematicians lead them to fruitful work from a seemingly unimportant starting point. I'm only sorry that Professor Edwards seems never to have completed the second volume he had hoped to write. Thus book deserves to be read by a much larger audience than it has gotten; in particular, I believe every graduate student in math who hopes to do good research, regardless of specialty, would benefit from reading it. Beyond that, any mathematically inclined reader with a modicum of training in math, is likely to find this a fascinating book. ... Read more |
12. An Introduction to the Geometry of Numbers (Classics in Mathematics) by J.W.S. Cassels | |
Paperback: 344
Pages
(1997-02-25)
list price: US$69.95 -- used & new: US$55.72 (price subject to change: see help) Asin: 3540617884 Canada | United Kingdom | Germany | France | Japan | |
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13. Mathematics Mechanization: Mechanical Geometry Theorem-Proving, Mechanical Geometry Problem-Solving and Polynomial Equations-Solving (Mathematics and Its Applications) by Wu Wen-tsun | |
Hardcover: 432
Pages
(2001-04-30)
list price: US$179.00 -- used & new: US$165.73 (price subject to change: see help) Asin: 079235835X Canada | United Kingdom | Germany | France | Japan | |
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14. Principles and Problems of Plane Geometry with Coordinate Geometry (Includes 850 Solved in Detail Problems) [Schaum's Outline Series] by Barnett Rich | |
Paperback: 231
Pages
(1963)
Asin: B0013KVULO Canada | United Kingdom | Germany | France | Japan | |
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15. Algebraic Number Theory and Fermat's Last Theorem: Third Edition by Ian Stewart, David Tall | |
Hardcover: 250
Pages
(2001-12-01)
list price: US$59.00 -- used & new: US$57.13 (price subject to change: see help) Asin: 1568811195 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
Not bad, but much to be improved.
Great Introductory Book to Algebraic Number Theory
skips too much
tough problems => good for the student
Very clear introduction to Algebraic Number Theory |
16. Noncommutative Geometry and Cayley-smooth Orders (Pure and Applied Mathematics) by Lieven Le Bruyn | |
Hardcover: 592
Pages
(2007-08-24)
list price: US$104.95 -- used & new: US$50.00 (price subject to change: see help) Asin: 1420064223 Canada | United Kingdom | Germany | France | Japan | |
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17. Fundamental Concepts of Geometry by Bruce E. Meserve | |
Hardcover: 321
Pages
(1952)
Asin: B001JHCE9I Canada | United Kingdom | Germany | France | Japan | |
18. Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) | |
Paperback: 214
Pages
(2003-04-17)
list price: US$69.95 -- used & new: US$49.90 (price subject to change: see help) Asin: 3540003622 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This bookis the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level (for example, homology theory and homotopy groups are completely avoided). No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained. At the same time, many substantial combinatorial results are covered, sometimes with some of the most important results, such as Kneser's conjecture, showing them from various points of view. The history of the presented material, references, related results, and more advanced methods are surveyed in separate subsections. The text is accompanied by numerous exercises, of varying difficulty. Many of the exercises actually outline additional results that did not fit in the main text. The book is richly illustrated, and it has a detailed index and an extensive bibliography. This text started with a one-semester graduate course the author taught in fall 1993 in Prague. The transcripts of the lectures by the participants served as a basis of the first version. Some years later, a course partially based on that text was taught by G\"unter M. Ziegler in Berlin, who made book is based on a thoroughly rewritten version prepared during a pre-doctoral course I taught at the ETH Zurich in fall 2001. Most of the material was covered in the course: Chapter 1 was assigned as an introductory reading text, and the other chapters were presented in approximately 30 hours of teaching (by 45 minutes), with some omissions throughout and with only a sketchy presentation of the last chapter. Customer Reviews (1)
Insight Pedagogy and Honesty |
19. Schaum's Easy Outline of Geometry, Second Edition (Schaum's Easy Outlines) by Barnett Rich | |
Paperback: 144
Pages
(2010-09-23)
list price: US$11.00 -- used & new: US$6.52 (price subject to change: see help) Asin: 0071745858 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description When you need just the essentials of geometry, this Easy Outlines book is there to help If you are looking for a quick nuts-and-bolts overview of geometry, it’s got to be Schaum's Easy Outline. This book is a pared-down, simplified, and tightly focused version of its Schaum’s Outline cousin, with an emphasis on clarity and conciseness. Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give you quick pointers to the essentials.
Topics include: Lines, Angles, and Triangles, Deductive Reasoning, Triangles, Parallel Lines, Distances, and Angle Sums, Trapezoids and Parallelograms, Circles, Similarity, Areas, Regular Polygons and the Circle, Constructions, Formulas for Reference, Proofs of Important Theorems |
20. The Four-Color Theorem: History, Topological Foundations, and Idea of Proof by Rudolf Fritsch, Gerda Fritsch | |
Hardcover: 260
Pages
(1998-08-13)
list price: US$69.95 -- used & new: US$69.08 (price subject to change: see help) Asin: 0387984976 Canada | United Kingdom | Germany | France | Japan | |
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