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A Course in Modern Mathematical Physics Groups, Hilbert Space and Differential
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A Course in Modern Mathematical Physics Groups, Hilbert Space and Differential Geometry Paperback - 2004

by Peter Szekeres


Summary

This book 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.

From the publisher

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.

First line

The object of mathematical physics is to describe the physical world in purely mathematical terms.

Details

  • Title A Course in Modern Mathematical Physics Groups, Hilbert Space and Differential Geometry
  • Author Peter Szekeres
  • Binding Paperback
  • Publisher Cambridge University Press
  • Date October 2004
  • ISBN 9780521536455