实分析教程第2版

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江苏南京

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作者（美）J.N.McDonald（J.N.麦克唐纳）

出版社世界图书出版公司

ISBN9787510052637

出版时间2013-04

版次1

装帧其他

开本其他

纸张胶版纸

定价139元

货号SC:9787510052637

上书时间2024-12-13

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商品描述: 内容简介:
数学
目录:
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
3.2 Lebesgue Outer Measure
3.3 Further Pro
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