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内容简介:

Preface Introduction 1 Vector Analysis 2 Vector Analysis in Curved Coordinates and Tensors 3 Determinants and Matrices 4 Group Theory 5 Infinite Series 6 Functions of a Complex Variable I: Analytic Properties Mapping 7 Functions of a Complex Variable II: Calculus of Residues 8 Differential Equations 9 Sturm-Liouville Theory - Orthogonal Functions 10 The Gamma Function (Factorial Function) 11 Bessel Functions 12 Legendre Functions 13 Special Functions 14 Fourier Series 15 Integral Transforms 16 Integral Equations 17 Calculus of Variations 18 Nonlinear Methods and Chaos Appendix 1 Real Zeros of a Function Appendix 2 Gaussian Quadrature General References Index