New Foundations for Classical Mechanics / Edition 2

New Foundations for Classical Mechanics / Edition 2

by David Hestenes
     
 

ISBN-10: 0792355148

ISBN-13: 9780792355144

Pub. Date: 09/28/1999

Publisher: Springer Netherlands

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics…  See more details below

Overview

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

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Product Details

ISBN-13:
9780792355144
Publisher:
Springer Netherlands
Publication date:
09/28/1999
Series:
Fundamental Theories of Physics Series, #99
Edition description:
2nd ed. 1999
Pages:
706
Sales rank:
1,249,750
Product dimensions:
6.10(w) x 9.40(h) x 1.50(d)

Table of Contents

Preface. 1. Origins of Geometric Algebra. 2. Developments in Geometric Algebra. 3. Mechanics of a Single Particle. 4. Central Forces and Two-Particle Systems. 5. Operators and Transformations. 6. Many-Particle Systems. 7. Rigid Body Mechanics. 8. Celestial Mechanics. 9. Relativistic Mechanics. Appendix. Hints and Solutions for Selected Exercises. References. Index.

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