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The geometry of physics : an introduction / Theodore Frankel.
- Format:
- Book
- Author/Creator:
- Frankel, Theodore, 1929-2017
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Mathematical physics.
- Physical Description:
- 1 online resource (lxii, 686 pages) : illustrations.
- Edition:
- 3rd ed.
- Place of Publication:
- Cambridge ; New York : Cambridge University Press, 2012.
- Contents:
- Overview: an informal overview of Cartan's exterior differential forms, illustrated with an application to Cauchy's stress tensor
- t I. Part I: Manifolds and vector fields
- Tensors and exterior forms
- Integration of differential forms
- The Lie derivative
- The Poincare Lemma and potentials
- Holonomic and nonholonomic constraints
- Part II: Geometry and topology
- R³ and Minkowski space
- The geometry of surfaces in R³
- Covariant differentiation and curvature
- Geodesics
- Relativity, tensors, and curvature
- Curvature and topology: Synge's theorem
- Betti numbers and De Rham's theorem
- Harmonic forms
- Part III: Lie Groups
- Vector bundles in geometry and physics
- Fiber bundles, Gauss-Bonnet, and topological quantization
- Connections and associated bundles
- The Dirac equation
- Yang-Mills fields
- Betti numbers and covering spaces
- Chern forms and homotopy groups.
- Notes:
- Includes bibliographical references (pages 671-673) and index.
- Electronic reproduction. Cambridge Available via World Wide Web.
- Description based on print version record.
- ISBN:
- 9781139061377 (electronic bk.)
- 1139061372 (electronic bk.)
- Publisher Number:
- 90103289975
- 6830948
- Access Restriction:
- Restricted for use by site license.
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