Mathematical Tools for Physics
by James Nearing
Publisher: Dover Publications 2010
Number of pages: 569
I intend this for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics. The text itself has been expanded so that it now contains far more than a one semester course.
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by Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
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The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.
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The course in this book is much more advanced than the usual course in commercial arithmetic. The attempt has been made to construct a practical course which will contain all the essential mathematical knowledge required in a business career.
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