Geometry and Its Applications, Second Edition - ISBN:0123694272

Geometry and Its Applications, Second Edition

Date: 08 May 2011, 00:54

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Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.
Audience
Junior/Senior level undergraduate courses in geometry
Contents
1. The Axiomatic Method in Geometry
2. The Euclidean Heritage
3. Non-Euclidean Geometry
4. Transformation Geometry I: Isometries and Symmetries
5. Vectors in Geometry
6. Transformation Geometry II: Isometries and Matrices
7. Transformation Geometry III: Similarity, Inversion and Projection
8. Graphs, Maps and Polyhedra Answers to Odd-Numbered Exercises
Reviews
Meyers bookis an especially good choice for a teacher who wants to show the interplay of the theory and applicability of mathematics, who wants to emphasize the connections within the different parts of mathematics, and who wants to meet the needs of future teachers and researchers in a sophisticated way.
Joseph Malkevitch, City University of New York
"...this may look fairly traditional (especially from the outside), but it's actually quite creative and very well done. Anyone teaching this kind of geometry course should consider adopting this book."
-Fernando Q. Gouvea, Colby College
"this text is more interesting to read than our present text. The author writes at a more appropriate level. (He) expresses himself well especially n the historical texts, examples, and ideas."
--David E. Ewing, Central Missouri State University
"Real strengths of the text include the applications, the treatment of symmetry, and the attention to isometries. The style is conversational and the approaches to problems are sensible. I appreciate the large number of problems."
--Steven Williams, Brigham Young University
"The author's emphasis on applications sets this proposed text apart from the standard ones. His examples make the point that geometry plays a vital role in the modern world."
--Gerald E. Gannon, California State University, Fullerton
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