实分析教程

作者：J.N.McDonald,N.A.Weiss 著

ISBN：10位［7506265737］ 13位［9787506265737］

出版社：世界图书出版公司

出版日期：2005-4-1

定价：￥89.00 元

内容提要

本书是一部备受专家好评的教科书，书中用现代的方式清晰论述了实分析的概念与理论，定理证明简明易懂，可读性强，全书共有200道例题和1200例习题。本书的写法像一部文学读物，这在数学教科书很少见，因此阅读本书会是一种享受。

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

……

PART THREE Topological,Metric,and Normed Spaces

Index