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25 Remote Warehouse Physics- Astrophysics

New Foundations for Classical Mechanics

by

New Foundations for Classical Mechanics Cover

 

Synopses & Reviews

Publisher Comments:

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 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.

About the Author

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

Preface. 1. Origins of Geometric Algebra. 2. Developments in Geometric Algebra. 3. Mechanics of a Single Particle. 4. Central Forces and Two-Particle Systems. 5. Operators and Transformations. 6. Many-Particle Systems. 7. Rigid Body Mechanics. 8. Celestial Mechanics. 9. Relativistic Mechanics. Appendix. Hints and Solutions for Selected Exercises. References. Index.

Product Details

ISBN:
9780792353027
Author:
Hestenes, David
Publisher:
Springer
Author:
Hestenes, D.
Location:
Dordrecht
Subject:
Mechanics
Subject:
Astrophysics & Space Science
Subject:
Astronomy
Subject:
Astronomy - General
Subject:
Astronomy, Observations and Techniques
Subject:
Algebraic Geometry
Subject:
Systems Theory, Control
Subject:
Physics-Astrophysics
Subject:
Physics
Subject:
Language, literature and biography
Subject:
Physics and Astronomy
Subject:
Geometry - Algebraic
Subject:
Systems theory.
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 1998
Series:
Fundamental Theories of Physics
Series Volume:
99
Publication Date:
19990931
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
718
Dimensions:
240 x 160 mm 2620 gr

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