A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry / Edition 1

A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry / Edition 1

by Peter Szekeres
     
 

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ISBN-10: 0521829607

ISBN-13: 9780521829601

Pub. Date: 08/01/2004

Publisher: Cambridge University Press

Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert

Overview

Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert spaces. The book also includes exercises and proofed examples to test the students' understanding of the various concepts, as well as to extend the text's themes.

Product Details

ISBN-13:
9780521829601
Publisher:
Cambridge University Press
Publication date:
08/01/2004
Edition description:
New Edition
Pages:
616
Sales rank:
1,059,182
Product dimensions:
6.85(w) x 9.72(h) x 1.30(d)

Related Subjects

Table of Contents

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.

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