# MATLAB在数学物理方法中的应用

MATLAB在数学物理方法中的应用

Application of MATLAB on Method of Mathematical Physics
Abstract: As a required course for many science and engineering professionals and an important foundation for one of the courses，Methods of Mathematical Physics is so complex and difficult that it is hard to master. Although the exercises of Methods of Mathematical Physics have its clear physical meaning, how to find the reprehensive physical image from these complicated mathematical expressions often makes teachers feel difficult to teach and makes students feel confused in learning as well. For students, it will be easily and deeply understood about the physical meaning of the mathematical problems through introducing Complex functions, Special functions and Fourier series problem applications and Complex functions of generation and operation process of MATLAB. The calculation will become from complicated to simple, some special functions and mathematical equations will be demonstrated in the form of images by using MATLAB programming to solve some of the problems in Methods of Mathematical Physics, it will be helpful for the improvement of the learning effectiveness of students consequently. With the changed teaching mode by using MATLAB in Methods of Mathematical Physics, the effectiveness of teaching would be greatly improved.
Keywords: MATLAB; Complex functions; Special functions; Fourier series

1. MATLAB在复变函数的应用 2
1.1 复数的生成 3
1.2 复数的运算 3
1.3 复变函数的图形画法 3
1.4 复变函数的图形示例 4
2. MATLAB在特殊函数的应用 5
2.1  函数 6
2.2  函数的函数命令 6
2.3  函数的图形示例 6
3. MATLAB在傅里叶级数中的应用 7
3.1傅里叶级数 8
3.2平面波展开为球面波的叠加的图形示例 8
4.结论 13
5.结束语 14

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