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Synopsis
《Lebesgue测度与积分》是作者在十余年教学经验的基础上撰写的一部有关实变函数的教材，该书根据信息与{十算科学专业实际情况——教学课时少的特点，精简传统实变函数论中部分抽象内容，对某些抽象概念、定理等内容都举例说明，从而降低该课程难度，减轻学生负担，提高学生学习积极性．我们主要介绍Lebesgue（勒贝格）测度与Lebesgue积分．《Lebesgue测度与积分》内容包括，集合与实数集、Lebesgue测度、Lebesgue可测函数、Lebesgue积分.LP空间，共五章内容，每章后均附习题，以便于读者学习和掌握实变函数论的基础知识，《Lebesgue测度与积分》可供高等院校数学系学生、研究生阅读，也可供其他有关学科教师和科研人员参考．1集合与实数集1．1集合的运算1．2集合的基数1．2．1映射的概念1．2．2有限集、无限集和可数集1．2．3不可数集1．3R上的点集1．3．1R中的开集、闭集1．3．2完备集与Cantor三分集1．4Riemann积分的缺陷习题12Lebesgue测度2．1集类与测度2．1．1集类2．1．2仃一代数上的测度2．2Lebesgue外测度2．3Lebesgue可i贝0集与Lebesgue测度2．4Lebesgue测度的基本性质习题23可测函数3．1可测函数的定义及性质3．2可测函数的其他性质……
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Lebesgue measure and integral(Chinese Edition)
ISBN 10: 7564168986
ISBN 13: 9787564168988
New
paperback
Seller: liu xing, Nanjing, JS, China
Seller rating 5 out of 5 stars
paperback. Condition: New. Paperback. Pub Date: 2017-01-01 Language: Chinese Publisher: southeast university press author is Lebesgue measure and integral on the basis of more than 10 years of experience in teaching writing a teaching materials about real variable function. the book according to the information and {count ten science actual situation. the characteristics of less teaching hours. to streamline the traditional part in real veriables function theory to smoke. Seller Inventory # NI075467