作者：黄仿伦编著
页数：196页
出版社：安徽大学出版社
出版日期：2024
ISBN：9787566427007
电子书格式：pdf/epub/txt
网盘下载地址：下载实变函数:英文版
内容简介
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。本书可作为高等院校数学、应用数学、信息与计算科学、统计学、应用统计学等专业的教学用书，也可作为中外合作办学各相关专业的教学用书。
作者简介
黄仿伦，安徽大学数学科学学院教授，长期从事数学、统计学相关专业教学与科研工作，研究方向为计算数学、信息与算法的复杂性和数据分析，发表学术论文30多篇，编写教材3部。
本书特色
由安徽大学出版社出版的《实变函数（英文版）》一书为普通高等教育数学专业规划教材。本书非常适合中外合作办学的统计学、应用统计学及相关专业双语教学之用。前6章的内容都集中在一维数直线上的Lebesgue测度和积分理论，第7章讲授一般集合上的测度与积分，等学生有了完整的数直线上的Lebesgue测度与积分理论以后，再去理解抽象集合上的测度与积分。本书可供本科院校理工科类各专业学生使用，也可供有关人员学习参考。
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
……
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
……
