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Cover: 9780486478555 | Curvature in Mathematics and Physics | Shlomo Sternberg | Taschenbuch
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Curvature in Mathematics and Physics
Taschenbuch von Shlomo Sternberg
Sprache: Englisch

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Beschreibung
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
Über den Autor
Shlomo Zvi Sternberg is a leading mathematician noted for his work in geometry. A longtime mathematics professor at Harvard University, he has written several textbooks for undergraduate students as well as a number of monographs used at Harvard and other educational institutions.
Inhaltsverzeichnis
Introduction
1. Gauss's Theorem Egregium
2. Rules of Calculus
3. Connections on the Tangent Bundle
4. Levi-Civita's Theorem
5. Bi-invariant Metrics on a Lie Group
6. Cartan Calculations
7. Gauss's Lemma
8. Variational Formulas
9. The Hopf-Rinow Theorem
10. Curvature, Distance and Volume
11.Review of Special Relativity
12. The Star Operator and Electromagnetism
13. Preliminaries to the Einstein Equation
14. Die Grundlagen der Physik
15. The Frobenius Theorem
16. Connections on Principal Bundles
17. Reduction of Principal Bundles
18. Superconnections
19. Semi-Riemannian Submersions
Bibliography
Index
Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780486478555
ISBN-10: 0486478556
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Sternberg, Shlomo
Hersteller: Dover Publications Inc.
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 233 x 158 x 22 mm
Von/Mit: Shlomo Sternberg
Erscheinungsdatum: 26.10.2012
Gewicht: 0,596 kg
Artikel-ID: 121254549
Über den Autor
Shlomo Zvi Sternberg is a leading mathematician noted for his work in geometry. A longtime mathematics professor at Harvard University, he has written several textbooks for undergraduate students as well as a number of monographs used at Harvard and other educational institutions.
Inhaltsverzeichnis
Introduction
1. Gauss's Theorem Egregium
2. Rules of Calculus
3. Connections on the Tangent Bundle
4. Levi-Civita's Theorem
5. Bi-invariant Metrics on a Lie Group
6. Cartan Calculations
7. Gauss's Lemma
8. Variational Formulas
9. The Hopf-Rinow Theorem
10. Curvature, Distance and Volume
11.Review of Special Relativity
12. The Star Operator and Electromagnetism
13. Preliminaries to the Einstein Equation
14. Die Grundlagen der Physik
15. The Frobenius Theorem
16. Connections on Principal Bundles
17. Reduction of Principal Bundles
18. Superconnections
19. Semi-Riemannian Submersions
Bibliography
Index
Details
Erscheinungsjahr: 2012
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780486478555
ISBN-10: 0486478556
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Sternberg, Shlomo
Hersteller: Dover Publications Inc.
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 233 x 158 x 22 mm
Von/Mit: Shlomo Sternberg
Erscheinungsdatum: 26.10.2012
Gewicht: 0,596 kg
Artikel-ID: 121254549
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