Mathematical methods for physicists Book

ABOUT THIS BOOK: Selling more than 70,000 copies through four previous editions, this best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. An essential addition to the bookshelf of any serious student of physics or research professional in the field. KEY FEATURES: * Completely new art program throughout the book * Updated references for using Numerical Recipes and Mathematics computational techniques * Valuable reference compendium for important mathematical methods used in physics ABOUT THE AUTHORS: George B. Afken is Professor Emeritus at Miami University of Ohio, and resides in Clearwater, Florida. Hans Juergen Weber is Professor of Physics at the University of Virginia, and a scholar and researcher in the fields of theoretical nuclear physics and particle physics. As part of his research with students and colleagues he analyzes data from the Thomas Jefferson National Accelerator Facility in Newport News, VA relating to the quark structure of the proton and neutron. Prof. Weber holds a doctorate (Doctor rer. nat.) from the University of Frankfurt and has published more than 100 papers in current physics journals. Content: Vector Analysis Rotation of the Coordinate Axes Scalar or Dot Product Vector or Cross Product Triple Scalar Product, Triple Vector Product Gradient, [down triangle, open] Divergence, [down triangle, open] Curl, [down triangle, open] x Successive Applications of [down triangle, open] Vector Integration Gauss's Theorem Stokes's Theorem Potential Theory Gauss's Law, Poisson's Equation Dirac Delta Function Helmholtz's Theorem Curved Coordinates, Tensors Orthogonal Coordinates Differential Vector Operators Special Coordinate Systems: Introduction Circular Cylindrical Coordinates Spherical Polar Coordinates Tensor Analysis Contraction, Direct Product Quotient Rule Pseudotensors, Dual Tensors Non-Cartesian Tensors Tensor Derivative Operators Determinants and Matrices Determinants Matrices Orthogonal Matrices Hermitian Matrices, Unitary Matrices Diagonalization of Matrices Normal Matrices Group Theory Introduction to Group Theory Generators of Continuous Groups Orbital Angular Momentum Angular Momentum Coupling Homogeneous Lorentz Group Lorentz Covariance of Maxwell's Equations Discrete Groups Infinite Series Convergence Tests Alternating Series Algebra of Series Series of Functions Taylor's Expansion Power Series Elliptic Integrals Bernoulli Numbers, Euler-Maclaurin Formula Asymptotic Series Infinite Products Functions of a Complex Variable I Complex Algebra.