A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
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Product Details
- Hardcover: 600 pages
- Publisher: Cambridge University Press (January 17, 2004)
- Language: English
- ISBN-10: 0521829607
- ISBN-13: 978-0521829601
- Product Dimensions: 9.8 x 7.1 x 1.8 inches
Review
‘This is a beautifully crafted book. … Peter Szekeres presents in the most elegant and compelling manner a magnificent overview of how classic areas such as algebra, topology, vector spaces and differential geometry form a consistent and unified language that has enabled us to develop a description of the physical world reaching a truly profound level of comprehension. … Szekeres’s style is clear, thorough and immensely readable. His selection of topics concentrates on areas where a fully developed rigorous mathematical exposition is possible. … One cannot help but be slightly awed by the beauty and the capability with which seemingly abstract concepts, often developed in the realms of pure mathematics, turn out to be applicable … I recommend that you get hold of this book for yourself or for your library.’ Times Higher Education Supplement
Book Description
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.
About the Author
PETER SZEKERES received his PhD from King’s College London in 1964, in the area of general relativity. He subsequently held research and teaching positions at Cornell University, King’s College and the University of Adelaide, where he stayed from 1971 till his recent retirement. Currently he is a Visiting Research Fellow at that institution. He is well known internationally for his research in general relativity and cosmology, and has a good reputation for his teaching and lecturing.
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