- 实变函数(英文版普通高等教育数学专业规划教材)
- - 作者：编者:黄仿伦|责编:张明举//李雪
  - 出版社：安徽大学
  - ISBN：9787566427007
  - 出版日期：2024/07/01
  - 页数：196
- 售价：18

内容大纲
本书主要内容包括集合的基本概念和性质、Lebesgue可测集的概念及其性质、Lebesgue可测函数及其性质、Lebesgue积分理论及其收敛性质、微分与不定积分、Lebesgue积分的应用、Lp函数空间、一般集合上的测度与积分。本书附有英汉常用数学词汇及常用数学表达式的读法。
作者介绍
目录
Chapter 1 Sets
  1.1  Sets and Their Operations
  1.2  Mapping and Cardinality
  1.3  One Dimensional Open Sets,Closed Sets and Their Properties
  1.4  Construction of Open Sets
  1.5  Distance
  Exercise One
Chapter 2 Lebesgue Measure
  2.1  Measure of Bounded Open and Closed Sets,and Their Properties
  2.2  Measurable Set and Its Properties
  2.3  The Measure of Unbounded Sets on R
  Exercise Two
Chapter 3 Lebesgue Measurable Function
  3.1  Lebesgue Measurable Function and Its Basic Properties
  3.2  The Convergence of Measurable Function Sequence
  3.3  The Construction of Measurable Functions
  Exercise Three
Chapter 4  Lebesgue Integration
  4.1  Introduction of Lebesgue Integration
  4.2  Properties of Integration
  4.3  Limit of Integral Sequences
  4.4  Comparison of Riemann Integration and Lebesgue Integration
  4.5  Double L-Integral and Fubini Theorem
  Exercise Four
Chapter 5  Differentiation and Indefinite Integration
  5.1  Differentiation of Monotonic Functions
  5.2  Finite Variation Functions and Absolutely Continuous Functions
  Exercise Five
Chapter 6  Lp (p≥1) Space
  6.1  Concepts of Lp (p≥1) Space
  6.2  Convergence of Lp Space
  6.3  L2 (E) Space
  Exercise Six
Chapter 7  The Measure of General Sets
  7.1  The Measure of Ring
  7.2  The Outer Measure on σ-Ring, Measurable Sets, and Extension of Measure
   7.3   Generalized Measure
  7.4   Product Measure and Finini Theorem
  7.5   Lebesgue-Stieltjes Integration Concept
Appendix  Some Math Expressions and Pronunciations

内容大纲

作者介绍

目录

同类热销排行榜

推荐书目