基本信息
作者：J.N.McDonald,N.A.Weiss 著
ISBN：10位［7506265737］ 13位［9787506265737］
出版社：世界圖書出版公司
出版日期：2005-4-1
定價：￥89.00 元
內容提要
本書是一部備受專家好評的教科書，書中用現代的方式清晰論述了實分析的概念與理論，定理證明簡明易懂，可讀性強，全書共有200道例題和1200例習題。本書的寫法像一部文學讀物，這在數學教科書很少見，因此閱讀本書會是一種享受。
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
