购物车中还没有商品,赶紧选购吧!
ISBN:
Fourier分析及其应用(影印版)
商品价格
降价通知
定价
手机购买
商品二维码
领 券
配送
上海市
数量
库存   个

推荐商品

  • 商品详情
手机购买
商品二维码
加入购物车
价格:
数量:
库存   个

商品详情

商品名称:Fourier分析及其应用(影印版)
物料号 :53596-00
重量:0.000千克
ISBN:9787040535969
出版社:高等教育出版社
出版年月:2020-04
作者:Gerald B. Folland
定价:169.00
页码:452
装帧:精装
版次:1
字数:710
开本
套装书:否

本书在适合于高年级本科生学习的水平上讲述Fourier级数和Fourier积分、特征函数展开以及相关论题的理论和应用,内容涵盖Bessel函数、正交多项式和Laplace变换, 还包括了对于常微分方程和偏微分方程的广义函数和Green函数的一些章节。本书几乎专门处理这些主题的可用于物理和工程中的那些方面, 同时也包含了广泛的各类应用。在理论方面, 它使用现代分析中的思想来展开技术背后的概念和推理,而又没有陷入严格证明的技术细节的陷阱中。

前辅文
1 Overture
  1.1 Some equations of mathematical physics
  1.2 Linear differential operators
  1.3 Separation of variables
2 Fourier Series
  2.1 The Fourier series of a periodic function
  2.2 A convergence theorem
  2.3 Derivatives, integrals, and uniform convergence
  2.4 Fourier series on intervals
  2.5 Some applications
  2.6 Further remarks on Fourier series
3 Orthogonal Sets of Functions
  3.1 Vectors and inner products
  3.2 Functions and inner products
  3.3 Convergence and completeness
  3.4 More about L2 spaces; the dominated convergence theorem
  3.5 Regular Sturm-Liouville problems
  3.6 Singular Sturm-Liouville problems
4 Some Boundary Value Problems
  4.1 Some useful techniques
  4.2 One-dimensional heat flow
  4.3 One-dimensional wave motion
  4.4 The Dirichlet problem
  4.5 Multiple Fourier series and applications
5 Bessel Functions
  5.1 Solutions of Bessel's equation
  5.2 Bessel function identities
  5.3 Asymptotics and zeros of Bessel functions
  5.4 Orthogonal sets of Bessel functions
  5.5 Applications of Bessel functions
  5.6 Variants of Bessel functions
6 Orthogonal Polynomials
  6.1 Introduction
  6.2 Legendre polynomials
  6.3 Spherical coordinates and Legendre functions
  6.4 Hermite polynomials
  6.5 Laguerre polynomials
  6.6 Other orthogonal bases
7 The Fourier Transform
  7.1 Convolutions
  7.2 The Fourier transform
  7.3 Some applications
  7.4 Fourier transforms and Sturm-Liouville problems
  7.5 Multivariable convolutions and Fourier transforms
  7.6 Transforms related to the Fourier transform
8 The Laplace Transform
  8.1 The Laplace transform
  8.2 The inversion formula
  8.3 Applications: Ordinary differential equations
  8.4 Applications: Partial differential equations
  8.5 Applications: Integral equations
  8.6 Asymptotics of Laplace transforms
9 Generalized Functions
  9.1 Distributions
  9.2 Convergence, convolution, and approximation
  9.3 More examples: Periodic distributions and finite parts
  9.4 Tempered distributions and Fourier transforms
  9.5 Weak solutions of differential equations
10 Green's Functions
  10.1 Green's functions for ordinary differential operators
  10.2 Green's functions for partial differential operators
  10.3 Green's functions and regular Sturm-Liouville problems
  10.4 Green's functions and singular Sturm-Liouville problems
1 Some physical derivations
2 Summary of complex variable theory
3 The gamma function
4 Calculations in polar coordinates
5 The fundamental theorem of ordinary differential equations
Answers to the Exercises
References
Index of Symbols
Index

对比栏

1

您还可以继续添加

2

您还可以继续添加

3

您还可以继续添加

4

您还可以继续添加