Modern Geometries

ISBN-10: 0534211984
ISBN-13: 9780534211981
Edition: 4th 1994
Authors: James R. Smart
List price: $115.95
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Description: This comprehensive, best-selling text focuses on the study of many different geometries--rather than a single geometry--and emphasizes practical applications. Designed to be a flexible teaching tool for a wide range of students (including math,  More...

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Book details

List price: $115.95
Edition: 4th
Copyright year: 1994
Publisher: Brooks/Cole
Publication date: 2/6/1996
Binding: Hardcover
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.430
Language: English

This comprehensive, best-selling text focuses on the study of many different geometries--rather than a single geometry--and emphasizes practical applications. Designed to be a flexible teaching tool for a wide range of students (including math, education, or computer science majors), Smart's text features self-contained chapters organized so that instructors can cover as much or as little of each topic as they choose, from bare minimum one-section coverage to full-chapter coverage. Modern Geometries has earned a reputation for its logical progression of ideas, its well-constructed exercises, and its comprehensive coverage. In this edition, Smart covers the major new applied areas of computer graphics, and emphasizes matrices for transformations.

Sets of Axioms and Finite Geometriesp. 1
Geometric Transformationsp. 34
Convexityp. 94
Euclidean Geometry of the Polygon and Circlep. 140
Constructionsp. 187
The Transformation of Inversionp. 217
Projective Geometryp. 246
Introduction to Topological Transformationsp. 305
Non-Euclidean Geometriesp. 331
Appendix 1 Hilbert's Axiomsp. 367
Appendix 2 Birkhoff's Postulatesp. 370
Appendix 3 Illustrations of Basic Euclidean Constructionsp. 371
Appendix 4 Selected Ideas from Logicp. 374
Appendix 5 Selected Theorems from Plane Euclidean Geometryp. 375
Appendix 6 First Twenty-eight Propositions of Euclidp. 377
Bibliographyp. 379
Answers to Selected Exercisesp. 384
Indexp. 397
Table of Contents provided by Blackwell. All Rights Reserved.

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