Mathematical Methods For Physicists by George B. Arfken
A comprehensive graduate-level reference that presents the mathematical techniques most used in theoretical and applied physics, spanning vector and tensor analysis, complex variables, ordinary and partial differential equations, special functions and orthogonal expansions, integral transforms, Green’s functions, asymptotic and perturbation methods, and elements of group theory and linear algebra; emphasizes practical problem-solving with worked examples, tables of formulas, and methods for analytical and computational applications.
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