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21. Problems and Solutions in Euclidean Geometry (Dover Books on Mathematics) by M. N. Aref, William Wernick | |
Paperback: 272
Pages
(2010-04-21)
list price: US$14.95 -- used & new: US$9.44 (price subject to change: see help) Asin: 0486477207 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition. |
22. Advanced Euclidean Geometry by Alfred S. Posamentier | |
Paperback: 250
Pages
(2002-07-12)
list price: US$44.95 -- used & new: US$177.70 (price subject to change: see help) Asin: 1930190859 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Book Good but CD Has no Program - Just Prog Help
This book just made teaching the course so much easier!
A must-have book for every geometry teacher There are several books that cover much of the same ground that Dr. Posamentier surveys: GEOMETRY REVISITED, by Coxeter and Greitzer, and EPISODES IN NINETEENTH AND TWENTIETH CENTURY EUCLIDEAN GEOMETRY, by Honsberger, are two of the best. What makes Dr. Posamentier's book stand out is its usefulness as a textbook. Theorems are fully proved, and arranged in a logically coherent sequence. (The book is Euclidean in format as well as in subject matter.) The book is thoughtfully designed. The pages are large, the type is easy to read, the diagrams are clear, and the book lies flat when opened. EVERY HIGH-SCHOOL GEOMETRY TEACHER SHOULD HAVE THIS BOOK. It's a rich source of supplementary material for regular sections, and an ideal textbook for the second semester of an honors-level class, or for a student who wants to pursue the study of geometry on an independent-study basis. I know that I'll be turning to this book again and again next year, and for as long as I teach geometry. In fact, I plan to buy another copy so that I'll have one at home and one in my classroom. Bravo, Dr. Posamentier, and thank you! ... Read more |
23. The Foundations of Geometry and the Non-Euclidean Plane by G.E. Martin | |
Hardcover: 509
Pages
(1982-03-22)
list price: US$79.95 -- used & new: US$20.00 (price subject to change: see help) Asin: 0387906940 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Wonderfully clear and complete |
24. Plane and Solid Geometry (Universitext) by J.M. Aarts | |
Paperback: 349
Pages
(2008-10-08)
list price: US$49.95 -- used & new: US$29.34 (price subject to change: see help) Asin: 0387782400 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review 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. |
25. Non-Euclidean Geometries: János Bolyai Memorial Volume (Mathematics and Its Applications) | |
Hardcover: 506
Pages
(2005-11-23)
list price: US$125.00 -- used & new: US$62.81 (price subject to change: see help) Asin: 0387295542 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description "From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics. |
26. The Elements of Non-Euclidean Geometry (Classic Reprint) by Duncan M'Laren Young Sommerville | |
Paperback: 292
Pages
(2010-09-07)
list price: US$9.50 -- used & new: US$9.50 (price subject to change: see help) Asin: 1440066582 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
27. 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$35.11 (price subject to change: see help) Asin: 184882890X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product 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. 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:
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 Customer Reviews (7)
Definately a good begineers book
Very appropriate for self-study
Written to teach rather than to impress
An enjoyable text on the subject!
Dissapointing |
28. Introductory Non-Euclidean Geometry by Henry Parker Manning | |
Paperback: 112
Pages
(2005-02-18)
list price: US$8.95 -- used & new: US$4.97 (price subject to change: see help) Asin: 0486442624 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition. Customer Reviews (2)
Non-Euclidean Geometry
What does this mean? |
29. Foundations of Plane Geometry by Harvey I. Blau | |
Hardcover: 298
Pages
(2002-11-11)
list price: US$103.00 -- used & new: US$35.95 (price subject to change: see help) Asin: 0130479543 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
30. Foundations of Projective Geometry by Robin Hartshorne | |
Paperback: 190
Pages
(2009-12-23)
list price: US$29.95 -- used & new: US$29.95 (price subject to change: see help) Asin: 4871878376 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Good for math majors; perhaps annoying to graphics experts This book is short and omits some topics found in many books. Conics and polarities are not dealt with.
axiom-theorem-example very good introduction in the area |
31. Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry (2nd Edition) by Michael Henle | |
Paperback: 389
Pages
(2001-01-22)
list price: US$84.00 -- used & new: US$75.00 (price subject to change: see help) Asin: 0130323136 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
This book is not great. The book also is too much of an overview--it makes a good introduction but a poor reference text.It is also very poorly indexed, which can make it hard to find things.The exercises are also poor--many new concepts are introduced in the exercises at the end of the chapters. The writing is actually pretty good, for the most part.I think that the stuff that is explained in the book is explained well in most places, and the author does a very good job of tieing things together and bringing in historical background and significance of the topics being discussed. I lastly might add that the name is very misleading--the geometries described in this book were mostly discovered over 100 years ago--there is nothing drastically "modern" about them. Overall, this book was not prepared for being published--it needs a new edition to correct errors and tie up loose ends. ... Read more |
32. Elementary Geometry by R. David Gustafson, Peter D. Frisk | |
Hardcover: 464
Pages
(1991-01)
-- used & new: US$98.72 (price subject to change: see help) Asin: 0471510025 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Great text for high school or college This book, like many high school texts, breaks geometry down into constructions using only a straight-edge and compass and then introduces definitions and theorems (some proved, some left to prove as exercises). The part that hooked me in was the fill-in-the-blank-step proofs that were partially completed but let the reader finish so that he or she will become familiar with "Statement/Reason" geometric proofs. Finally, after ten chapters which deal with such topics as quadrilaterals, parallel lines, polygon areas, similar and congruent triangles, and circles, the authors introduce logic by methods of truth tables, Euler circles, and tautologies. Last but not least, a chapter connecting algebra to 2-Dimensional (Cartesian) geometry offer the bridge between the "abstract" world of algebra and the "concrete" world of geometry. ... Read more |
33. Geometry Civilized: History, Culture, and Technique by J. L. Heilbron | |
Paperback: 328
Pages
(2000-03-16)
list price: US$90.00 -- used & new: US$39.90 (price subject to change: see help) Asin: 0198506902 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Beautiful book, enlightening geometry
Opaque on geometry, vague and thin on civilization
Geometry and history intertwined
Geometry and history intertwined
A truly unique book |
34. 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 |
35. The Non-Euclidean Revolution (Modern Birkhäuser Classics) by Richard J. Trudeau | |
Paperback: 270
Pages
(2008-01-21)
list price: US$44.95 -- used & new: US$14.98 (price subject to change: see help) Asin: 0817647821 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description How unique and definitive is Euclidean geometry in describing the "real" space in which we live? Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America. "Trudeau meets the challenge of reaching a broad audience in clever ways...(The book) is a good addition to our literature on non-Euclidean geometry and it is recommended for the undergraduate library."--Choice (review of 1st edition) "...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text."--Mathematical Reviews Customer Reviews (2)
Propaganda history
A nicely designed book, with accepted views of the subject |
36. Episodes in Nineteenth and Twentieth Century Euclidean Geometry (New Mathematical Library) by Ross Honsberger | |
Paperback: 188
Pages
(1996-09-05)
list price: US$32.50 -- used & new: US$31.21 (price subject to change: see help) Asin: 0883856395 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
A honeypot of sweet problems in geometry
A great geometry book for Olympiad training! |
37. Lectures on Hyperbolic Geometry (Universitext) (Volume 0) by Riccardo Benedetti, Carlo Petronio | |
Paperback: 332
Pages
(1992-09-03)
list price: US$59.95 -- used & new: US$44.99 (price subject to change: see help) Asin: 354055534X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Quite a nice approach
Good advice for the student. |
38. Quasicrystals and Geometry by Marjorie Senechal | |
Paperback: 308
Pages
(1996-09-28)
list price: US$58.00 -- used & new: US$45.84 (price subject to change: see help) Asin: 0521575419 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Worthwhile with lots of cool pictures "Quasicrystals and Geometry" is a bit between an overview and a cookbook.Sections of the book are historical, parts are practical.Explicit and easy to follow instructions for generation of penrose tilings (and many other really cool tilings) are included. Despite what the introduction says, this book is not written for a lay audience.A quarter or two of college level math seems to be assumed. ... Read more |
39. Geometry by Michele Audin | |
Paperback: 357
Pages
(2002-11-11)
list price: US$49.95 -- used & new: US$29.50 (price subject to change: see help) Asin: 3540434984 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Math |
40. Journey into Geometries (Spectrum) by Marta Sved | |
Paperback: 182
Pages
(1997-07)
list price: US$36.95 -- used & new: US$28.50 (price subject to change: see help) Asin: 0883855003 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Journey into Geometrics can be read at two levels. It can be studied as an informal introduction to post-Euclidean geometry, or it can serve as background material for university students. The material presented in the text is extended by carefully selected problems. The background required is minimal, standard high school geometry, yet the serious student, aided by problems attached to each chapter, should acquire a deeper understanding of the subject. Customer Reviews (1)
Another magical journey through the wonderland of geometry |
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