(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.
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Fundamental Theories of Physics, 99 |
Release date: |
September 1999 |
First published: |
September 1999 |
Authors: |
D. Hestenes
|
Dimensions: |
235 x 155 x 38mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
706 |
Edition: |
2nd ed. 1999 |
ISBN-13: |
978-0-7923-5302-7 |
Categories: |
Books >
Science & Mathematics >
Physics >
Classical mechanics >
General
|
LSN: |
0-7923-5302-1 |
Barcode: |
9780792353027 |
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