The Geometry of Physics : an Introduction (Book, 2011) []
skip to content
The Geometry of Physics : an Introduction Preview this item
ClosePreview this item

The Geometry of Physics : an Introduction

Publisher: [Erscheinungsort nicht ermittelbar] : Cambridge University Press, 2011.
Edition/Format:   Print book : English : 3 Aufl
Publication:Geometry of Physics.

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a  Read more...


(not yet rated) 0 with reviews - Be the first.

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Document Type: Book
ISBN: 1107602602 9781107602601
OCLC Number: 772631391
In: Frankel, Theodore
Description: 768 Seiten
Contents: Preface to the Third Edition; Preface to the Second Edition; Preface to the revised printing; Preface to the First Edition; Overview; 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 Poincare Lemma and potentials; 6. Holonomic and nonholonomic 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 A. Forms in continuum mechanics; Appendix B. Harmonic chains and Kirchhoff's circuit laws; Appendix C. Symmetries, quarks, and Meson masses; Appendix D. Representations and hyperelastic bodies; Appendix E. Orbits and Morse-Bott theory in compact Lie groups.
Responsibility: Frankel, Theodore.


Editorial reviews

Publisher Synopsis

Review of previous edition: '... highly readable and enjoyable ... The book will make an excellent course text or self-study manual for this interesting subject.' Physics Today Review of previous Read more...

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.