| 書目名稱 | Measure and Integration | | 編輯 | Satish Shirali,Harkrishan Lal Vasudeva | | 視頻video | http://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 |  | | 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 | | doi | https://doi.org/10.1007/978-3-030-18747-7 | | isbn_softcover | 978-3-030-18746-0 | | isbn_ebook | 978-3-030-18747-7Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | Springer Nature Switzerland AG 2019 |
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