Geometry and Its Applications ( 2 )

Publication series :2

Author: Meyer   Walter A.  

Publisher: Elsevier Science‎

Publication year: 2006

E-ISBN: 9780080478036

P-ISBN(Paperback): 9780123694270

P-ISBN(Hardback):  9780123694270

Subject: O18 geometric topology

Language: ENG

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Description

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.

  • Realistic applications integrated throughout the text, including (but not limited to):
    • Symmetries of artistic patterns
    • Physics
    • Robotics
    • Computer vision
    • Computer graphics
    • Stability of architectural structures
    • Molecular biology
    • Medicine
    • Pattern recognition
  • Historical notes included in many chapters

Chapter

Front cover

Title page

pp.:  3 – 4

Copyright page

pp.:  4 – 5

Table of Contents

pp.:  5 – 10

Preface

pp.:  10 – 14

Introduction

pp.:  14 – 22

2 The Euclidean Heritage

pp.:  58 – 124

3 Non-Euclidean Geometry

pp.:  124 – 164

4 Transformation Geometry I: Isometries and Symmetries

pp.:  164 – 220

5 Vectors in Geometry

pp.:  220 – 278

6 Transformation Geometry II: Isometries and Matrices

pp.:  278 – 332

7 Transformation Geometry III: Similarity, Inversion, and Projection

pp.:  332 – 400

8 Graphs, Maps, and Polyhedra

pp.:  400 – 480

Bibliography

pp.:  480 – 484

Answers to Odd-Numbered Exercises

pp.:  484 – 544

Index

pp.:  544 – 561

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