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Titlebook: Measure and Integration; Satish Shirali,Harkrishan Lal Vasudeva Textbook 2019 Springer Nature Switzerland AG 2019 Measure theory.Integrati

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發(fā)表于 2025-3-21 17:46:54 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Measure and Integration
編輯Satish Shirali,Harkrishan Lal Vasudeva
視頻videohttp://file.papertrans.cn/629/628059/628059.mp4
概述Supplements the abstract theory with a great amount of motivation, explanations and concrete examples.Includes background on metric spaces and mathematical analysis.Over 300 exercises with hints
叢書名稱Springer Undergraduate Mathematics Series
圖書封面Titlebook: Measure and Integration;  Satish Shirali,Harkrishan Lal Vasudeva Textbook 2019 Springer Nature Switzerland AG 2019 Measure theory.Integrati
描述This textbook provides a thorough introduction to?measure and integration theory, fundamental topics of advanced mathematical analysis..Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and product measures. Noteworthy topics discussed in the text include?.L.p. spaces, the Radon–Nikodym Theorem, signed measures, the Riesz Representation Theorem, and the Tonelli and Fubini Theorems..This textbook, based on extensive teaching experience, is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises, it is the ideal companion for self-study or use alongside lecture courses..
出版日期Textbook 2019
關(guān)鍵詞Measure theory; Integration theory; Lebesgue measure; Fourier series; Fubini theorem; Tonelli theorem; Lp
版次1
doihttps://doi.org/10.1007/978-3-030-18747-7
isbn_softcover978-3-030-18746-0
isbn_ebook978-3-030-18747-7Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:28:18 | 只看該作者
Measure Spaces and Integration,Abstract measure space and integration, monotone and dominated convergence theorems, . spaces, H?lder and Minkowski inequalities, completeness of . spaces and their dense subsets, . space.
板凳
發(fā)表于 2025-3-22 02:26:08 | 只看該作者
Lebesgue Spaces and Modes of Convergence,The spaces . as normed linear spaces. Linear functionals and Riesz Representation Theorem for . spaces, 1?≤?.?
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Hints,Hints to problems appearing at the end of sections of various chapters.
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Measure and Integration978-3-030-18747-7Series ISSN 1615-2085 Series E-ISSN 2197-4144
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發(fā)表于 2025-3-22 23:05:27 | 只看該作者
Satish Shirali,Harkrishan Lal VasudevaSupplements the abstract theory with a great amount of motivation, explanations and concrete examples.Includes background on metric spaces and mathematical analysis.Over 300 exercises with hints
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