Items related to 实变函数论
Synopsis
《实变函数论》内容包括集合与点集、Lebesgue测度、Lebesgue积分、Lebesgue积分意义下的微分与不定积分以及Lp空间。《实变函数论》每章后附有习题供学生进一步学习，同时书末附有系统的提示和建议。《实变函数论》可以作为高等院校数学及其他相关专业的教材和教学参考书。前言绪论第1章集合与点集1．1集合及其运算1．2映射与基数1．3有限集与可列集1．4连续基数1．5lRn空间1．6开集、闭集、Borel集1．7点集间的距离第2章Lebesgue测度2．1Lebesgue外测度2．2Lebesgue可测集与Lebesgue测度2．3Lebesgue可测集的结构2．4Lebesgue不可测集2．5抽象测度第3章Lebesgue可测函数3．1Lebesgue可测函数的概念与基本性质3．2可测函数列的收敛性3．3可测函数与连续函数的关系第4章Lebesgue积分4．1非负可测函数的Lebesgue积分4．2-般可测函数的Lebesgue积分4．3Lebesgue控制收敛定理4．4Lebesgue可积函数与Riemann可积函数的关系4．5重积分与累次积分的Fubini定理第5章微分与不定积分5．1Dini导数与Vitali覆盖5．2单调函数及有界变差函数的可微性5．3绝对连续函数与微积分基本定理第6章Lp空间6．1Lp空间的定义及结构6．2Lp空间习题参考答案或提示参考文献索引
"synopsis" may belong to another edition of this title.
Search results for 实变函数论
Seller Image
Real Variable Function Theory(Chinese Edition)
ISBN 10: 7030474384
ISBN 13: 9787030474384
New
paperback
Seller: liu xing, Nanjing, JS, China
Seller rating 5 out of 5 stars
paperback. Condition: New. Paperback. Pub Date: 2016-03-01 Pages: 145 Language: Chinese Publisher: Science Press Real Variable Function Theory The content includes sets and point sets. Lebesgue measure. Lebesgue integral. differential and indefinite integral in the sense of Lebesgue integral. and Lp space.?Functions of Real Variables is accompanied by exercises for students to further study after each chapter. At the same time. there are systematic hints and suggestions at the end of the book.?Real Variable Function Th. Seller Inventory # NS058677