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实分析和抽象分析

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作者：Edwin Hewitt Karl Stromberg 著

出版社：上海世界图书出版公司

出版时间：2009-04

I S B N：751000447

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实分析和抽象分析

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实分析和抽象分析（英文版）

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实分析和抽象分析(英文影印版)

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姓名：(美)休伊特(Hewitt E.)著
作者简介：
作品：《实分析和抽象分析》姓名：Edwin Hewitt Karl Stromberg著
作者简介：
作品：《实分析和抽象分析》

内容简介

This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present customarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope t

chapter one: set theory and algebra
section 1. the algebra of sets
section 2. relations and functions
section 3. the axiom of choice and ordinal numbers
section 4. cardinal numbers and ordinal numbers
section 5. construction of the real and complex number fields
chapter two: topology and continuous functions
section 8. the riemann-stieltjes integral
section 9. extending certain functionals
section 10. measures and measurable sets
section 11. measurable functions
section 12. the abstract lebesgue integral
chapter four: function spaces and banach spaces
section 13. the spaces
section 14. abstract banach&nb