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About this book :-
New Foundations for Classical Mechanics (2E) written by David Hestenes .
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 its detailed treatment of spacetime maps, collisions, motion in uniform fields and relativistic spin precession. It conforms with Einstein’s view that Special Relativity is the culmination of developments in classical mechanics.
The accuracy of the text has been improved by the accumulation of many corrections over the last decade. I am grateful to the many students and colleagues who have helped root out errors, as well as the invaluable assistance of Patrick Reany in preparing the manuscript. The second edition, in particular, has benefited from careful scrutiny by J. L. Jones and Prof. J. Vrbik. The most significant corrections are to the perturbation calculations in Chapter 8. Prof. Vrbik located the error in my calculation of the precession of the moon's orbit due to perturbation by the sun (p. 550), a calculation which vexed Newton and many others since. I am indebted to David Drewer for calling my attention to D.T. Whiteside’s fascinating account of Newton’s failure to master the lunar perigee calculation (see Section 8-3). Vrbik has kindly contributed a more accurate computation to this edition. He has also extended the spinor perturbation theory of Section 8-4 in a series of published applications to celestial mechanics (see References). Unfortunately, to make room for the long relativity chapter, the chapter on Foundations of Mechanics had to be dropped from the Second Edition. It will be worth expanding at another time. Indeed, it has already been incorporated in a new appraoch to physics instruction centered on making and using conceptual models. [For an update on Modeling Theory, see D. Hestenes, “Modeling Games in the Newtonian World,” Am. J. Phys. 60, 732–748 (1992).]
When using this book as a mechanics textbook, it is important to move quickly through Chapters 1 and 2 to the applications in Chapter 3. A thorough study of the topics and problems in Chapter 2 could easily take the better part of a semester, so that chapter should be used mainly for reference in a mechanics course. To facilitate identification of those elements of geometric algebra which are most essential to applications, a Synopsis of Geometric Algebra has been included in the beginning of this edition.
Book Detail :-
Title: New Foundations for Classical Mechanics
Edition: 2nd Edition
Author(s): David Hestenes
Publisher: Kluwer Academic Publishers
ISBN: 0-306-47122-1, 0-7923-5514-8
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About Author :- The author David Hestenes , Department of Physics and Astronomy, Arizona State University, Tempe, Arizona, USA.
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Book Contents :-
New Foundations for Classical Mechanics (2E) written by David Hestenes cover the following topics. '
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-A Spherical Trigonometry
Appendix-B Elliptic Functions
Appendix-C Units, Constants And Data
Hints and Solutions for Selected Exercises
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