Introductory real analysis 实分析导论
|
读过这本书吗？
最近在读
读过
想读
还不熟悉
|
图书城书列：
加入到博客或社交网站：
|
|
我来评论这本书：
内容提要：
Comprehensive, elementary introduction to real and functional analysis. Self-contained, readily accessible to those with background in advanced calculus. Cover basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, much more. Features 350 problems.
目录：
1 SET THEORY
1.Sets and Functions 2.Equivalence of Sets.The Power of a Set 3.Ordered Sets and Ordinal Numbers 4.Systems of Sets 2 METRIC SPACES 5.Basic Concepts 6.Convergence.Open and Closed Sets 7.Complete Metric Spaces 8.Contraction Mappings 3 TOPOLOGICAL SPACES 9.Basic Concepts 10.Compactness 11.Compactness in Metric Spaces 12.Real Functions on Metric and Topological Spaces 4 LINEAR SPACES 13.Basic Concepts 14.Convex Sets and Functionals.The Hahn-Banach Theorem 15.Normed Linear Spaces 16.Enclidean Spaces 17.Topolgical Linear Spaces 5 LINEAR FUNCTIONALS 18.Continuous Linear Functionals 19.The Conjugate Space 20.The Weak Topology and weak Convergence 21.Generalized Functions 6 LINEAR OPERATORS 7 MEASURE 8 INTEGRATION 9 DIFFERENTIATION 10 MORE ON INTEGRATION BIBLIOGAPHY INDEX |