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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.
Computation is the process of applying a procedure or algorithm to the solution of a mathematical problem. This book covers three broad topics: the computation process and its limitations, the search for computational efficiency, and the role of quantum mechanics in computation.
This beautiful little book is certainly suitable for anyone who has had an introductory course in physics and even for some who have not. Moreover, it contains enough substance so that a modern physicist may find that he can learn something--perhaps only that a difficult topic can be presented to a general audience. The whole succeeds so well because Geroch believes that 'physics is a human activity...' and wants to share some of its joys with others. - Joshua N. Goldberg, Physics Today.
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