The Geometry of Physics: An Introduction

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Cambridge University Press, 2004 - Всего страниц: 694
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Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact Lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. First Edition Hb (1997): 0-521-38334-X First Edition Pb (1999): 0-521-38753-1
  

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Review: The Geometry of Physics: An Introduction

Пользовательский отзыв  - Toby Bartels - Goodreads

If you wish to apply geometry to physics, then you must read this book. There is no alternative. This is the material that matters —any other approach is deficient. There is no better exposition than ... Читать весь отзыв

Review: The Geometry of Physics: An Introduction

Пользовательский отзыв  - Dave - Goodreads

I really like the exposition in this book. Читать весь отзыв

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Содержание

Manifolds and Vector Fields
3
Tensors and Exterior Forms
37
Integration of Differential Forms
95
The Lie Derivative
125
The Poincare Lemma and Potentials
155
Holonomic and Nonholonomic Constraints
165
K3 and Minkowski Space
191
The Geometry of Surfaces in R3
201
Fiber Bundles GaussBonnet and Topological Quantization
451
Connections and Associated Bundles
475
The Dirac Equation
491
YangMills Fields
523
Betti Numbers and Covering Spaces
561
Chern Forms and Homotopy Groups
583
Appendix A Forms in Continuum Mechanics
617
A e Stored Energy of Deformation
623

Covariant Differentiation and Curvature
241
Geodesies
269
Relativity Tensors and Curvature
291
Synges Theorem
323
Betti Numbers and De Rhams Theorem
333
Harmonic Forms
361
Lie Groups
391
Vector Bundles in Geometry and Physics
413
A g Some Typical Computations Using Forms
629
A h Concluding Remarks
635
Symmetries Quarks and Meson Masses
648
e A Reduced Symmetry Group
656
Appendix E Orbits and MorseBott Theory in Compact Lie Groups
670
Index
683
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The Geometry of Physics - Cambridge University Press
Paperback. (ISBN-13: 9780521387538 | ISBN-10: 0521387531). There was also a Hardback of this title but it is no longer available; Published July 1999 ...
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The geometry of physics: an introduction, by Theodore Frankel. Pp. 654. ?65. 1997. ISBN 0 521 38334 X (Cambridge University Press). ...
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The geometry of physics; an introduction, 2d ed.(Brief
0521539277 The geometry of physics; an introduction, 2d ed. Frankel, Theodore. Cambridge U. Pr. 2004 694 pages $120.00 Hardcover QC20 Frankel (mathema.
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The geometry of physics; an introduction, 2d ed. The geometry of physics; an introduction, 2d ed. Frankel, Theodore. Cambridge U. Pr. ...
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The geometry of physics : an introduction
The geometry of physics : an introduction, 2nd ed. By Theodore Frankel. Cambridge, UK: Cambridge University Press, 2004. Publication Date: 00/2004. Origin: ...
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MAT 500 The Geometry of Physics
MAT 500 The Geometry of Physics. William O. Bray. bray@math.umaine.edu. Text: T. Frankel, The Geometry of Physics, Cambridge University Press ...
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A Creation Principle? Text - Physics Forums Library
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Zentralblatt MATH Database 1931 – 2008 0888.58077
The geometry of physics. An introduction. (English). Cambridge: Cambridge University Press. xxii, 654 p. £65.00, $ 95.00 hbk; £19.95/pbk. (1997). ...
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Об авторе (2004)

Frankel received his Ph.D. from the University of California, Berkeley. He is currently emeritus professor of mathematics at the University of California, San Diego.

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