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Cover: 9780521829601 | A Course in Modern Mathematical Physics | Peter Szekeres | Buch | 2013
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A Course in Modern Mathematical Physics
Groups, Hilbert Space and Differential Geometry
Buch von Peter Szekeres
Sprache: Englisch

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Beschreibung
This book provides an introduction to the major mathematical structures used in physics today. Topics covered include 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. The book is suitable as a textbook for advanced undergraduate and beginning graduate students. It includes numerous exercises and worked examples, to test the readers understanding of the various concepts, as well as extending the themes covered in the main text.
This book provides an introduction to the major mathematical structures used in physics today. Topics covered include 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. The book is suitable as a textbook for advanced undergraduate and beginning graduate students. It includes numerous exercises and worked examples, to test the readers understanding of the various concepts, as well as extending the themes covered in the main text.
Über den Autor
Peter Szekeres received his PhD from King's College London in 1964, in the area of general relativity. He subsequently held research and teaching positions at Cornell University, King's College and the University of Adelaide, where he stayed from 1971 till his recent retirement. Currently he is a Visiting Research Fellow at that institution. He is well known internationally for his research in general relativity and cosmology, and has a good reputation for his teaching and lecturing.
Inhaltsverzeichnis
Preface; 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 space; 14. Quantum theory; 15. Differential geometry; 16. Differentiable forms; 17. Integration on manifolds; 18. Connections and curvature; 19. Lie groups and lie algebras.
Details
Erscheinungsjahr: 2013
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521829601
ISBN-10: 0521829607
Sprache: Englisch
Einband: Gebunden
Autor: Szekeres, Peter
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 250 x 175 x 37 mm
Von/Mit: Peter Szekeres
Erscheinungsdatum: 22.02.2013
Gewicht: 1,23 kg
Artikel-ID: 102461847
Über den Autor
Peter Szekeres received his PhD from King's College London in 1964, in the area of general relativity. He subsequently held research and teaching positions at Cornell University, King's College and the University of Adelaide, where he stayed from 1971 till his recent retirement. Currently he is a Visiting Research Fellow at that institution. He is well known internationally for his research in general relativity and cosmology, and has a good reputation for his teaching and lecturing.
Inhaltsverzeichnis
Preface; 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 space; 14. Quantum theory; 15. Differential geometry; 16. Differentiable forms; 17. Integration on manifolds; 18. Connections and curvature; 19. Lie groups and lie algebras.
Details
Erscheinungsjahr: 2013
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521829601
ISBN-10: 0521829607
Sprache: Englisch
Einband: Gebunden
Autor: Szekeres, Peter
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 250 x 175 x 37 mm
Von/Mit: Peter Szekeres
Erscheinungsdatum: 22.02.2013
Gewicht: 1,23 kg
Artikel-ID: 102461847
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