A course in modern mathematical physics : groups, Hilbert space, and differential geometry / Peter Szekeres.
Szekeres, Peter, 1940-| Call Number | 530.15 |
| Author | Szekeres, Peter, 1940- author. |
| Title | A course in modern mathematical physics : groups, Hilbert space, and differential geometry / Peter Szekeres. |
| Physical Description | 1 online resource (xiii, 600 pages) : digital, PDF file(s). |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Contents | 1. Sets and structures -- 2. Groups -- 3. Vector spaces -- 4. Linear operators and matrices -- 5. Inner product spaces -- 6. Algebras -- 7. Tensors -- 8. Exterior algebra -- 9. Special relativity -- 10. Topology -- 11. Measure theory and integration -- 12. Distributions -- 13. Hilbert spaces -- 14. Quantum mechanics -- 15. Differential geometry -- 16. Differentiable forms -- 17. Integration on manifolds -- 18. Connections and curvature -- 19. Lie groups and Lie algebras. |
| Summary | This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required. |
| Subject | MATHEMATICAL PHYSICS. |
| Multimedia |
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$a This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.
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| Summary | This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required. |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Contents | 1. Sets and structures -- 2. Groups -- 3. Vector spaces -- 4. Linear operators and matrices -- 5. Inner product spaces -- 6. Algebras -- 7. Tensors -- 8. Exterior algebra -- 9. Special relativity -- 10. Topology -- 11. Measure theory and integration -- 12. Distributions -- 13. Hilbert spaces -- 14. Quantum mechanics -- 15. Differential geometry -- 16. Differentiable forms -- 17. Integration on manifolds -- 18. Connections and curvature -- 19. Lie groups and Lie algebras. |
| Subject | MATHEMATICAL PHYSICS. |
| Multimedia |