
A course in modern mathematical physics : : Groups, Hilbert space and differential geometry / Peter Szekeres
Tác giả : Peter Szekeres
Nhà xuất bản : Cambridge University Press
Năm xuất bản : 2004
Nơi xuất bản : Cambridge, UK
Mô tả vật lý : xiii, 600 p. ; 26 cm
ISBN : 0521829607
Số phân loại : 530.15
Chủ đề : 1. Mathematical physics. 2. Toán học vật lý.
Thông tin chi tiết
Tóm tắt : | 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. |
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