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Geometry of Physics : An Introduction by Theodore Frankel (1999, Trade Paperback)
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Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers.
- Buy It NowGEOMETRY OF PHYSICS: AN INTRODUCTION By Theodore Frankel
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521387531
ISBN-139780521387538
eBay Product ID (ePID)412346
Product Key Features
Number of Pages678 Pages
LanguageEnglish
Publication NameGeometry of Physics : an Introduction
SubjectGeometry / Differential, Topology, Physics / Mathematical & Computational
Publication Year1999
TypeTextbook
Subject AreaMathematics, Science
AuthorTheodore Frankel
FormatTrade Paperback
Dimensions
Item Height1.3 in
Item Weight40.9 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Intended AudienceScholarly & Professional
Reviews'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.' Zentralblatt fr Mathematik und ihre Grenzgebiete, ‘The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.’Zentralblatt für Mathematik und ihre Grenzgebiete, ' ... extremely helpful for students in physics and engineering ... recommended to a wide audience ...' European Mathematical Society, 'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.' Zentralblatt für Mathematik und ihre Grenzgebiete, ' … extremely helpful for students in physics and engineering … recommended to a wide audience …' European Mathematical Society, ‘ … extremely helpful for students in physics and engineering … recommended to a wide audience …’European Mathematical Society, 'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.' Zentralblatt f r Mathematik und ihre Grenzgebiete, 'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.'Zentralblatt für Mathematik und ihre Grenzgebiete
Dewey Edition23
TitleLeadingThe
IllustratedYes
Dewey Decimal530.156
Table Of ContentPreface; Part I. Manifolds, Tensors and Exterior Forms: 1. Manifolds and vector fields; 2. Tensors and exterior forms; 3. Integration of differential forms; 4. The Lie derivative; 5. The Poincaré Lemma and potentials; 6. Holonomic and non-holonomic constraints; Part II. Geometry and Topology: 7. R3 and Minkowski space; 8. The geometry of surfaces in R3; 9. Covariant differentiation and curvature; 10. Geodesics; 11. Relativity, tensors, and curvature; 12. Curvature and topology: Synge's theorem; 13. Betti numbers and De Rham's theorem; 14. Harmonic forms; Part III. Lie Groups, Bundles and Chern Forms: 15. Lie groups; 16. Vector bundles in geometry and physics; 17. Fiber bundles, Gauss-Bonnet, and topological quantization; 18. Connections and associated bundles; 19. The Dirac equation; 20. Yang-Mills fields; 21. Betti numbers and covering spaces; 22. Chern forms and homotopy groups; Appendix: forms in continuum mechanics.
SynopsisThis book is intended to provide a working knowledge of those parts of geometry that are essential for a deeper understanding of both classical and modern physics and engineering. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics., This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study.
LC Classification NumberQC20
