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Talman, Richard

Geometric Mechanics

Talman, Richard - Geometric Mechanics, ebook

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ISBN: 9783527617814
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Mechanics for the nonmathematician-a modern approach

For physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for nonmathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, Dr. Talman treats separately Lagrangian, Hamiltonian, and Newtonian mechanics-exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. Geometric Mechanics features illustrative examples and assumes only basic knowledge of Lagrangian mechanics.

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Author(s)
Publisher
John Wiley and Sons, Inc.
Publication year
2008
Language
en
Edition
1
Page amount
582 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783527617814
Printed ISBN
9780471157380

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