This book provides an introduction to the major mathematical structures used in physics today. It covers the concepts & techniques needed for topics such as group theory Lie algebras topology Hilbert space & differential geometry. Important theories of physics such as classical & quantum mechanics thermodynamics & special & general relativity are also developed in detail & presented in the appropriate mathematical language. The book is suitable for advanced undergraduate & beginning graduate students in mathematical & theoretical physics as well as applied mathematics. It
Includes:: numerous exercises & worked examples to test the readers understanding of the various concepts as well as extending the themes covered in the main text. The only prerequisites are elementary calculus & linear algebra. No prior knowledge of group theory abstract vector spaces or topology is required.