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Measure and Integration

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Measure and Integration/ by Satish Shirali, Harkrishan Lal Vasudeva.
作者:	Shirali, Satish.
其他作者:	Vasudeva, Harkrishan Lal.
面頁冊數:	XII, 598 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Measure theory. -
電子資源:	https://doi.org/10.1007/978-3-030-18747-7
ISBN:	9783030187477

Measure and Integration
Shirali, Satish.

Measure and Integration[electronic resource] /by Satish Shirali, Harkrishan Lal Vasudeva. - 1st ed. 2019. - XII, 598 p.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.

1 Preliminaries -- 2 Measure in Euclidean Space -- 3 Measure Spaces and Integration -- 4 Fourier Series -- 5 Differentiation -- 6 Lebesgue Spaces and Modes of Convergence -- 7 Product Measure and Completion -- 8 Hints -- References -- Index.

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 Lp spaces, the Radon–Nikodým 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.

ISBN: 9783030187477

Standard No.: 10.1007/978-3-030-18747-7doiSubjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA312-312.5

Dewey Class. No.: 515.42

Measure and Integration
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