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

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This page intentionally left blank 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 spaces and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general rela- tivity 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.


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Peter Szekeres. Books by Peter Szekeres.

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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.

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The only prerequisites are elementary calculus and linear algebra.