
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