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.
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November 15, 2022
G. Beutler’s Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume...