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Boundary value problems and Fourier expansions 编值问题与傅里叶展开

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Boundary value problems and Fourier expansions 编值问题与傅里叶展开

最 低 价:¥162.30

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作 者:Charles R. MacCluer 著

出 版 社:

出版时间:2004-12-1

I S B N:0486439011

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内容简介

Based on modern Sobolev methods, this text not only includes an informal introduction that develops students' physical and mathematical intuition, but also introduces Hilbert space in its natural environment, and then poses and solve standard problems. The final part covers Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.

作者简介

目录

To the Student
To the Instructor
How this Book Differs
Using this Book
Acknowledgments
1 Preliminaries
2 Steady Problems
3 The Heat Epuation
4 The Wave Epuation
5 Separation of Variables
6 Hilbert Space
7 Trigonometric Expansions
8 Rectangular Problems
9 Bessel Functions
10 Cylindrical Problems
11 Orthgonal Polynomials
12 S[jerocal Problems
13 Sturm-Liouville Problems
14 Choosing Inner Products
15 Symbolic Manipulation
16 Operational Calculus
17 Fourier Integrals
18 Galerkin's Metthod
19 Soblev Methods
Appendix A .Measure and Integration
Appendix B .Quantum Mechanics
References
Index

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