文档介绍：New Foundations for Classical Mechanics (Second Edition)
Fundamental Theories of Physics
An International Book Series on The Fundamental Theories of Physics:
Their Clarification, Development and Application
Editor:
ALWYN VAN DER MERWE, University of Denver, .
Editoral Advisory Board:
LAWRENCE P. HORWITZ, Tel-Aviv University, Israel
BRIAN D. JOSEPHSON, University of Cambridge, .
CLIVE KILMISTER, University of London, .
PEKKA J. LAHTI, University of Turku, Finland
GÜNTER LUDWIG, Philipps-Universität, Marburg, Germany
NATHAN ROSEN, Israel Institute of Technology, Israel
ASHER PERES, Israel Institute of Technology, Israel
EDUARD PRUGOVECKI, University of Toronto, Canada
MENDEL SACHS, State University of New York at Buffalo, .
ABDUS SALAM, International Centre for Theoretical Physics, Trieste, Italy
HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften,
Germany
Volume 99
New Foundations for
Classical Mechanics
(Second Edition)
by
David Hestenes
Department of Physics and Astronomy,
Arizona State University,
Tempe, Arizona, .
KLUWER ACADEMIC PUBLISHERS
NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
eBook ISBN: 0-306-47122-1
Print ISBN: 0-7923-5514-8
©2002 Kluwer Academic Publishers
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Print ©1999 Kluwer Academic Publishers
Dordrecht
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Table of Contents
Preface ix
Chapter 1: Origins of Geometric Algebra 1
1-1. Geometry as Physics 1
1-2. Number and Magnitude 5
1-3. Directed Numbers 11
1-4. The Inner Product 16
1-5. The Outer Product 20
1-6. Synthesis and Simplification 30
1-7. Axioms for Geometric Algebra 34
Chapter 2: Developments in Geo