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Titlebook: Measure and Integration; S. Kesavan (emeritus) Textbook 2019 Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019 Lebesg

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发表于 2025-3-21 19:53:12 | 显示全部楼层 |阅读模式
书目名称Measure and Integration
编辑S. Kesavan (emeritus)
视频video
概述Discusses the Riemann integral briefly.Drives inspiration from lectures delivered by the author in several leading institutes in India.Contains interesting examples and a variety of exercises
丛书名称Texts and Readings in Mathematics
图书封面Titlebook: Measure and Integration;  S. Kesavan (emeritus) Textbook 2019 Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019 Lebesg
描述.This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the .n.-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration..
出版日期Textbook 2019
关键词Lebesgue measure; Measurable functions; Convergence; Integration; Dierentiation; Signed measures; Product
版次1
doihttps://doi.org/10.1007/978-981-13-6678-9
isbn_ebook978-981-13-6678-9Series ISSN 2366-8717 Series E-ISSN 2366-8725
issn_series 2366-8717
copyrightHindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019
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Measurable functions,The notion of measurability of real-valued functions defined on a set endowed with a σ-algebra is introduced and important properties of measurable functions are studied. The construction of the Cantor function, which is a rich source of counter-examples, is described.
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Change of variable,The notion of Fréchet differentiability in ℝ. is introduced. The effect of the action of a diffeomorphism on the Lebesgue measure and Lebesgue integrals are studied.
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https://doi.org/10.1007/978-981-13-6678-9Lebesgue measure; Measurable functions; Convergence; Integration; Dierentiation; Signed measures; Product
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Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019
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