Mathematical Physics

By: Robert Geroch

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eText | 1 August 2015 | Edition Number 1

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"A remarkable achievement . . . an informing sight of the sort of mathematics that underpins much of the present day research in theoretical physics." —C. J. Isham, Contemporary Physics

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, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.