Fundamental Theories of Physics

New Foundations for Classical Mechanics

Authors: Hestenes, David

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About this book

(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.

About the authors

David Hesteness is awarded the Oersted Medal for 2002.
The Oersted Award recognizes notable contributions to the teaching of physics. It is the most prestigious award conferred by the American Association of Physics Teachers.

Table of contents (9 chapters)

Buy this book

eBook $89.00
price for Brazil (gross)
  • ISBN 978-0-306-47122-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $329.99
price for Brazil
  • ISBN 978-0-7923-5302-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for Brazil
  • ISBN 978-0-7923-5514-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
New Foundations for Classical Mechanics
Authors
Series Title
Fundamental Theories of Physics
Series Volume
99
Copyright
1999
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-0-306-47122-3
DOI
10.1007/0-306-47122-1
Hardcover ISBN
978-0-7923-5302-7
Softcover ISBN
978-0-7923-5514-4
Series ISSN
0168-1222
Edition Number
2
Number of Pages
XIV, 706
Topics