數學物理方法第3版

內容簡介

　　In the present edition we have made changes in Chapter 1， mainly as a result of comments by Professor A. S. Besicovitch. Some theorems are stated more explicitly， a few proofs are added， and some are shortened. We are indebted to him for an elementary proof of the theorem of bounded convergence for Riemann integrals， which appears in the notes. In Chapter 6 the proof of Poissons equation has been improved. In Chapter 17 we have discussed the Airy integral for complex argument in more detail， and have given conditions for uniformity of approximation for asymptotic solutions of Greens type for complex argument. In Chapter 23 we have added some remarks on the analytic continuation of the solutions， and a note applies them to the parabolic cylinder functions. We should like to express our thanks to several readers for drawing our attention to errors and misprints.

　　本書為英文版。

圖書目錄

Preface

Chapter 1.The Real Variable

2.Scalars and Vectors

3.Tensors

4.Matrices

5.Multiple Integrals

6.Potential Theory

7.Operational Methods

8.Physical Applications of the Operational Method

9.Numerical Methods

10.Caloulns of Variations

11.Functions of a Complex Variable

12.Contour Integration and Bromwich‘s Integral

13.Conformal Representation

14.Fourier‘s Theorem

15.The Factorial and Related Functions

16.Solution of Linear Differential Equations of the Second Order

17.Asymptotic Expansions

18.The Equations of Potential， Waves， and Heat Conduction

19.Waves in One Dimension and Waves with Spherical Symmetry

20.Conduction of Heat in One and Three Dimensions

21.Bessel Functions

22.Applications of Bessel Functions

23.The Conflutent Hypergeomtrio Function

24.Legendre Functions and Associated Functions

25.Elliptic Functions

Notes

Appendix on Notatin

Index

數學物理方法第3版

基本介紹

內容簡介

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