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New Foundations for Classical Mechanics

  • David Hestenes

Part of the Fundamental Theories of Physics book series (FTPH, volume 15)

Table of contents

  1. Front Matter
    Pages i-xi
  2. David Hestenes
    Pages 1-38
  3. David Hestenes
    Pages 39-119
  4. David Hestenes
    Pages 120-194
  5. David Hestenes
    Pages 195-251
  6. David Hestenes
    Pages 252-333
  7. David Hestenes
    Pages 334-418
  8. David Hestenes
    Pages 419-511
  9. David Hestenes
    Pages 512-573
  10. David Hestenes
    Pages 574-602
  11. Back Matter
    Pages 603-644

About this book

Introduction

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 applica­ tions 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.

Keywords

classical mechanics mechanics

Authors and affiliations

  • David Hestenes
    • 1
  1. 1.Department of PhysicsArizona State UniversityTempeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-4802-0
  • Copyright Information Springer Science+Business Media B.V. 1986
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-2526-4
  • Online ISBN 978-94-009-4802-0
  • Buy this book on publisher's site
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