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

by Peter Szekeres

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.

Genres: Physics, Mathematics, Science

600 pages, Hardcover

First published December 16, 2004

Reviews

[Jason ("jcreed") · Rating 4 out of 5]

Excellent, from-the-ground-up summary of the basic mathematics behind a lot of physics; group theory, topology, linear algebra, measure theory, differential geometry. In particular I think it's highly suitable to someone knows a decent amount of pure mathematics, but not much about how physicists tend to make use of it. The explanation of Hilbert spaces is neither dumbed down nor unclear.