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经典力学新基础-(影印版)(第二版) 本书特色
This b00k orovides an introdUCtion to eeometric al eebra as an
unified language for physics and mathematics. It containes 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 governmental 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 detailed treatment 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
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