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。

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
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