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New Foundations for Classical Mechanics (Paperback, 2nd ed. 1999)
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New Foundations for Classical Mechanics (Paperback, 2nd ed. 1999)
Series: Fundamental Theories of Physics, 99
Expected to ship within 10 - 15 working days
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This book provides an introduction to geometric algebra as a
unified language for physics and mathematics. It contains extensive
applications to classical mechanics in a textbook format suitable
for courses at an intermediate level. The text is supported by more
than 200 diagrams to help develop geometrical and physical
intuition. Besides covering the standard material for a course on
the mechanics of particles and rigid bodies, the book introduces
new, coordinate-free methods for rotational dynamics and orbital
mechanics, developing these subjects to a level well beyond that of
other textbooks. These methods have been widely applied in recent
years to biomechanics and robotics, to computer vision and
geometric design, to orbital mechanics in government and industrial
space programs, as well as to other branches of physics. The book
applies them to the major perturbations in the solar system,
including the planetary perturbations of Mercury's perihelion.
Geometric algebra integrates conventional vector algebra (along
with its established notations) into a system with all the
advantages of quaternions and spinors. Thus, it increases the power
of the mathematical language of classical mechanics while bringing
it closer to the language of quantum mechanics. This book
systematically develops purely mathematical applications of
geometric algebra useful in physics, including extensive
applications to linear algebra and transformation groups. It
contains sufficient material for a course on mathematical topics
alone. The second edition has been expanded by nearly a hundred
pages on relativistic mechanics. The treatment is unique in its
exclusive use of geometric algebra and in its detailedtreatment of
spacetime maps, collisions, motion in uniform fields and
relativistic precession. It conforms with Einstein's view that the
Special Theory of Relativity is the culmination of developments in
classical mechanics.
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Fundamental Theories of Physics, 99 |
Release date: |
September 1999 |
First published: |
1999 |
Authors: |
D. Hestenes
|
Dimensions: |
235 x 155 x 36mm (L x W x T) |
Format: |
Paperback
|
Pages: |
706 |
Edition: |
2nd ed. 1999 |
ISBN-13: |
978-0-7923-5514-4 |
Categories: |
Books >
Science & Mathematics >
Physics >
Classical mechanics >
General
|
LSN: |
0-7923-5514-8 |
Barcode: |
9780792355144 |
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