Guide To Mathematical Methods For Physicists A With Problems And Solutions

Guide To Mathematical Methods For Physicists, A.

Mathematical Methods for Physicists

Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.

A Guide to Mathematical Methods for Physicists

Mapping properties of holomorphic functions -- Laplace transform -- Asymptotic expansions -- The Cauchy problem for differential equations -- Boundary value problems -- Green functions -- Power series methods -- Compact operators and integral equations -- Hilbert spaces and quantum mechanics