《数学物理》由阿培所著，There is a fairly fasbionable current of thought that bolds that the use of advanced mathematics is of little real use in physics， and goes sometimes as far as to say that knowing convinced that matbematics is stikll a parecious source of insight， not for students of physics， but also for researchers.

Many only see mathematics as a tool-and of course，it is part a tool，but they should be reminded that， as Galileo said， the book of Nature is written in give examples that knowing mathematics provides the means to understand precise physical notions，to use them more easily，to establish them on a sure foundation，and even more importantly，to discover new ones.

A book's apoLogy

Index of notation

1 Reminders： convergence of sequences and series

2 Measure theary and the Lebesgue integral

3 Integral calculus

4 Complex Analysis Ⅰ

5 Complex Analysis Ⅱ

6 Conformal maps

7 Distributions Ⅰ

8 Distributions II

9 Hilbert spaces, Fourier series

10 Fourier transform of functions

11 Fourier transform of distributions

12 The Laplace transform

13 Physical applications of the Fourier transform

14 Bras, kets, and all that sort of thing

15 Green functions

16 Tensors

17 Differential forms

18 Groups and group representations

19 Introduction to probability theory

20 Random variables

21 Convergence of random variables：　central limit theorem

Appendices

Tables