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