Fourier级数（影印版）

样章

作者：

Rajendra Bhatia

定价：

99.00元

ISBN：

978-7-04-057023-6

版面字数：

230.000千字

开本：

16开

全书页数：

暂无

装帧形式：

精装

重点项目：

暂无

出版时间：

2022-02-28

物料号：

57023-00

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

分析

暂无

前辅文
0 A History of Fourier Series
1 Heat Conduction and Fourier Series
- 1.1 The Laplace equation in two dimensions
- 1.2 Solutions of the Laplace equation
- 1.3 The complete solution of the Laplace equation
2 Convergence of Fourier Series
- 2.1 Abel summability and Ces`aro summability
- 2.2 The Dirichlet and the Fej´er kernels
- 2.3 Pointwise convergence of Fourier series
- 2.4 Term by term integration and differentiation
- 2.5 Divergence of Fourier series
3 Odds and Ends
- 3.1 Sine and cosine series
- 3.2 Functions with arbitrary periods
- 3.3 Some simple examples
- 3.4 Infinite products
- 3.5 π and infinite series
- 3.6 Bernoulli numbers
- 3.7 sin x/x
- 3.8 The Gibbs phenomenon
- 3.9 Exercises
- 3.10 A historical digression
4 Convergence in L2 and L1
- 4.1 L2 convergence of Fourier series
- 4.2 Fourier coefficients of L1 functions
5 Some Applications
- 5.1 An ergodic theorem and number theory
- 5.2 The isoperimetric problem
- 5.3 The vibrating string
- 5.4 Band matrices
A A Note on Normalisation
B A Brief Bibliography
Index