实分析和泛函分析
￥ 45.76 5.0折 ￥ 92 九五品
仅1件
浙江杭州
认证卖家担保交易快速发货售后保障
作者S.Lang
出版社世界图书出版公司
ISBN9787506233071
出版时间1997-09
版次1
装帧平装
开本16开
纸张胶版纸
页数580页
定价92元
上书时间2024-08-03
商品详情
- 品相描述：九五品
- 商品描述
-
基本信息
书名:实分析和泛函分析
定价：92元
作者:S.Lang
出版社：世界图书出版公司
出版日期：1997-09-01
ISBN：9787506233071
字数：
页码：580
版次：1
装帧：平装
开本：32开
商品重量：
编辑推荐
《实分析和泛函分析(第3版)(英文版)》是由世界图书出版公司出版的。
内容提要
《实分析和泛函分析(第3版)(英文版)》内容简介：This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this third edition, I have reorganized the book by covering integration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence appromation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text.
目录
PART ONE General Topology CHAPTERⅠ Sets 1. Some Basic Terminology 2. Denumerahle Sets 3. Zorn''s Lemma CHAPTERⅡ Topological Spaces 1. Open and Closed Sets 2. Connected Sets 3. Compact Spaces 4. Separation by Continuous Functions 5. Exercises CHAPTERⅢ Continuous Functions on Compact Sets 1. The Stone-Weierstrass Theorem 2. Ideals of Continuous Functions 3. Ascoli''s Theorem 4. ExercisesPART TWO Banach and Hilbert Spaces CHAPTERⅣ Banach Spaces 1. Definitions, the Dual Space, and the Hahn-Banach Theorem 2. Banach Algebras 3. The Linear Extension Theorem 4. Completion of a Normed Vector Space 5. Spaces with Operators Appendix: Convex Sets 1. The Krein-Milman Theorem 2. Mazur''s Theorem 6. Exercises CHAPTERⅣ HIIbert Space 1. Hermitian Forms 2. Functionals and Operators 3. ExercisesPART THREE Integration CHAPTERⅥ The General Integral 1. Measured Spaces, Measurable Maps, and Positive Measures 2. The Integral of Step Maps 3. The L1-Compledon 4. Properties of the Integral: First Part 5. Properties of the Integral: Second Part 6. Appromations 7. Extension of Positive Measures from Algebras to q-Algebras 8. Product Measures and Integration on a Product Space 9. The Lebesgue Integral in Rp 10. Exercises CHAPTERⅦ Duality and Representation Theorems 1. The Hilbert Space L2 u 2. Duality Between L1 u and L # 3. Complex and Vectorial Measures 4. Complex or Vectorial Measures and Duality 5. The LB Spaces, 1 6. The Law of Large Numbers 7. Exercises CHAPTERⅧ Duality and Representation Theorems 1. The Hilbert Space L2 u 2. Duality Between L1 u and L # 3. Complex and Vectorial Measures 4. Complex or Vectorial Measures and Duality 5. The LB Spaces, 1 6. The Law of Large Numbers 7. Exercises……PART FOUR CalculusPART FIVE Functional AnalysisPART SIX Global AnalysisBibliographyTable of NotationIndex
作者介绍
序言
-
【封面】
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价