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Measure and integration

Shirali, Satish.

Measure and integration

Record Type:	Electronic resources : Monograph/item
Title/Author:	Measure and integrationby Satish Shirali, Harkrishan Lal Vasudeva.
Author:	Shirali, Satish.
other author:	Vasudeva, Harkrishan Lal.
Published:	Cham :Springer International Publishing :2019.
Description:	xii, 598 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Riemann integral.
Online resource:	https://doi.org/10.1007/978-3-030-18747-7
ISBN:	9783030187477$q(electronic bk.)

Measure and integration
Shirali, Satish.

Measure and integration[electronic resource] /by Satish Shirali, Harkrishan Lal Vasudeva. - Cham :Springer International Publishing :2019. - xii, 598 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

736438
Riemann integral.

LC Class. No.: QA311 / .S557 2019

Dewey Class. No.: 515.43

Measure and integration
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245 1 0 $a Measure and integration $h [electronic resource] / $c by Satish Shirali, Harkrishan Lal Vasudeva.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xii, 598 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 1615-2085
505 0 $a 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.
520 $a 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.
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650 1 4 $a Measure and Integration. $3 273777
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650 2 4 $a Fourier Analysis. $3 273776
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950 $a Mathematics and Statistics (Springer-11649)