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Synopsis Mathematical physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics and astrophysics.

Thorough, extremely useful treatment of classical mechanics, electromagnetic theory and relativity, includes full explanations of function theory, vectors, matrices, tensors, differential equations, and other advanced mathematical techniques. This textbook introduces the reader to modern mathematical thinking within a physics context. This comprehensive guide will also prove useful as a refresher or reference for physicists and applied mathematicians.