《實分析教程》是2005年4月由世界圖書出版公司出版的圖書，作者是.N.McDonald,N.A.Weiss。
基本介紹
- 書名：實分析教程
- 作者：.N.McDonald,N.A.Weiss
- ISBN：10位[7506265737] 13位[9787506265737]
- 定價：￥89.00 元
- 出版社：世界圖書出版公司
- 出版時間：2005-4-1
目錄
Preface
PART ONE Set Theory，Real Numbers，and Calculus
1 SET THEORY
Biography: Georg Cantor
1.1 Basic Definitions and Properties
1.2 Functions and Sets
1.3 Equivalence of Sets； Countability
1.4 Algebras，σ-Algebras，and Monotone Classes
2 THE REAL NUMBER SYSTEM AND CALCULUS
Biography: Georg Friedrich Bernhard Riemann
2.1 The Real Number System
2.2 Sequences of Real Numbers
2.3 Open and Closed Sets
2.4 Real-Valued Functions
2.5 The Cantor Set and Cantor Function
2.6 The Riemann Integral
PART TWO Measure，Integration，and DifFerentiation
3 LEBESGUE THEORY ON THE REAL LINE
Biography: Emile Felix-Edouard-Justin Borel
3.1 Borel Measurable Functions and Borel Sets
……
PART THREE Topological,Metric,and Normed Spaces
Index
