1/23/2012

Applied Mathematics Review

Applied Mathematics
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Mahan's book is one of the most garbled representations of scientific applied mathematics that I have ever had the misfortune to come across. Relatively simple topics such as complex variables and group theory become incomprehensible morasses of hyperverbose autogratification. The buyer would be well advised to consider purchasing another book (Boas' Mathematical Methods in the Physical Sciences is an excellent alternative).

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This is a textbook for a two-semester graduate course in Mathematical Methods in Physics. Most universities give this course, which is often taught jointly with the Engineering or Mathematics Departments. General topics include: group theory, linear equations, matrices, series, functions of complex variables, conformal mapping, special functions, and partial differential equations. Each chapter has numerous homework problems. The section on transforms includes those on Fourier and Laplace, as well as the modern topic of wavelets. The chapters on partial differential equations include: Laplace's, Poisson's, Helmholtz, diffusion, and wave equations. Problems are treated in one, two, and three dimensions.

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