Mathematical Physics: Advanced Topics - Softcover

S.D. Joglekar

9788173715600: Mathematical Physics: Advanced Topics

Softcover

ISBN 10: 8173715602 ISBN 13: 9788173715600

Publisher: Universities Press,India, 2006

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Mathematical Physics: Advanced Topics is the second of a two-volume set designed for senior undergraduate and postgraduate students. The author provides detailed discussion of topics including partial differential equations, ordinary differential equations, special functions including gamma, beta and Bessel functions, classical orthogonal polynomials, spherical harmonics, generalized functions, the Dirac-delta function, Fourier transforms, group theory, eigenvalues, eigenvectors, matrix representations and diagonalization of matrices, complex variables, analytic functions, Taylor and Laurent series, contour integrals, residue theorem and applications, and method of steepest descent.

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The first of a two-volume set, Mathematical Physics: The Basics provides a masterful introduction to the mathematical methods encountered by undergraduate students in physics, chemistry, and engineering. Topics include vectors and Cartesian tensors, vector calculus, Lorentz tensors, curvilinear coordinates, linear vector spaces and linear operators, eigenvalues and eigenvectors, matrix representations and diagonalization of matrices, complex variables, analytic functions, Taylor and Laurent series, contour integrals, residue theorem and applications, and method of steepest descent. Numerous worked examples and problems are featured to demonstrate principles and facilitate learning.