Mathematical Methods for Physicists

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This best-selling title, with over 70,000 copies sold across four editions, consolidates essential mathematical tools and techniques for solving physics problems, making it a vital resource for serious students and professionals in the field. The book features a completely new art program and updated references for utilizing Numerical Recipes and mathematical computational techniques, serving as a valuable compendium of important mathematical methods in physics. The authors include George B. Afken, Professor Emeritus at Miami University of Ohio, and Hans Juergen Weber, Professor of Physics at the University of Virginia, who specializes in theoretical nuclear and particle physics. Prof. Weber has published over 100 papers and conducts research analyzing data related to the quark structure of protons and neutrons. Key content areas covered include vector analysis, tensor analysis, determinants and matrices, group theory, and functions of a complex variable. Topics such as scalar and vector products, gradient, divergence, curl, Gauss's and Stokes's theorems, as well as special coordinate systems like circular cylindrical and spherical polar coordinates, are explored in detail. Additionally, the book addresses series convergence tests, Taylor expansions, and elliptic integrals, providing a comprehensive toolkit for tackling complex physics problems.