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Cover: 9780521187961 | Differential Geometry and Lie Groups for Physicists | Marian Fecko
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Differential Geometry and Lie Groups for Physicists
Taschenbuch von Marian Fecko (u. a.)
Sprache: Englisch

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Beschreibung
An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.
An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.
Inhaltsverzeichnis
Introduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincaré Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index.
Details
Erscheinungsjahr: 2011
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521187961
ISBN-10: 0521187966
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Fecko, Marian
Fecko, Mari N.
Hersteller: Cambridge University Press
Maße: 244 x 170 x 39 mm
Von/Mit: Marian Fecko (u. a.)
Erscheinungsdatum: 07.01.2011
Gewicht: 1,21 kg
Artikel-ID: 107159925
Inhaltsverzeichnis
Introduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincaré Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index.
Details
Erscheinungsjahr: 2011
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521187961
ISBN-10: 0521187966
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Fecko, Marian
Fecko, Mari N.
Hersteller: Cambridge University Press
Maße: 244 x 170 x 39 mm
Von/Mit: Marian Fecko (u. a.)
Erscheinungsdatum: 07.01.2011
Gewicht: 1,21 kg
Artikel-ID: 107159925
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