图书信息
图书目录
Fourier级数（影印版）
暂无简介
作者：
Rajendra Bhatia
定价：
99.00元
出版时间：
2022-02-28
ISBN：
978-7-04-057023-6
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
重点项目：
暂无
版面字数：
230.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 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
