- 分析学教程--第4卷傅里叶分析常微分方程变分法(英文)/国外优秀数学著作原版系列
- - 作者：(英)尼尔斯·雅各布//克里斯蒂安·P.埃文斯|责编:刘家琳
  - 出版社：哈尔滨工业大学
  - ISBN：9787576706147
  - 出版日期：2023/03/01
  - 页数：757
- 售价：47.2

内容大纲
本书是分析学课程著作的第四卷，在本卷中作者讨论了傅里叶分析、常微分方程和变分法的基础知识（一维情况下的），其中包括一些关于分析动力学的结果，即哈密顿力学。
作者介绍
目录
Preface
Introduction
List of Symbols
Part 8: Fourier Analysis
  1 The Historical Place of Fourier Analysis in Mathematics
  2 Trigonometric Series and Fourier Series
  3 Fourier Series and Their Coefficients
  4 Pointwise Convergence and Summability
  5 Fourier Series of Square Integrable Functions
  6 Further Topics on the Convergence of Fourier Series
  7 Holomorphic Functions, Harmonic Functions, Hardy Spaces
  8 Selected Topics on Fourier Series
  9 Orthonormal Expansions and Special Functions
  10 The Schwartz Space
  11 The Fourier Transform in S(Rn)
  12 The Fourier Transform in LP-Spaces
  13 The Fourier Transform of Bounded Measures
  14 Selected Topics on the Fourier Transform
Part 9: Ordinary Differential Equations
  15 Some Orientation-First Results
  16 Basic Existence and Uniqueness Results I
  17 Basic Existence and Uniqueness Results II
  18 Linear Systems of First Order. Constant Coefficients
  19 Linear Systems of First Order. Variable Coefficients
  20 Second Order Linear Differential Equations with Real Analytic Coefficients
  21 Boundary Value and Eigenvalue Problems. First Observations
  22 The Hypergeometric and the Confluent Hypergeometric Differential Equation
  23 Continuous Dependence on Data and Stability
  24 Tangent Spaces, Tangent Bundles, and Vector Fields
  25 Phase Diagrams and Flows
Part 10: Introduction to the Calculus of Variations
  26 The Calculus of Variations-Setting the Scene
  27 Classical Solutions of the Euler-Lagrange Equations
  28 More on Local Minimisers
  29 Partial Differential Equations of 1st Order
  30 Aspects of Hamilton-Jacobi Theory
Appendices
  Appendix I: Harmonic Analysis on Locally Compact
  Abelian Groups
  Appendix II: Convergence of Measures
  Appendix III: Generating Functions, Orthonormal
  Polynomials
  Appendix IV: On Brouwer's Fixed Point Theorem
  Solutions to Problems of Part 8
  Solutions to Problems of Part 9
  Solutions to Problems of Part 10
References
Mathematicians Contributing to Analysis (Continued)
Subject Index
编辑手记

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作者介绍

目录

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