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Measure and integration

Shirali, Satish.

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Measure and integration

Record Type:	Electronic resources : Monograph/item
Title/Author:	Measure and integration/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Riemann integral. -
Online resource:	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. - 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

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

753036
Riemann integral.

LC Class. No.: QA311 / .S557 2019

Dewey Class. No.: 515.43

Measure and integration
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100 1 $a Shirali, Satish. $3 3414449
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.
650 0 $a Riemann integral. $3 753036
650 1 4 $a Measure and Integration. $3 891263
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Vasudeva, Harkrishan Lal. $3 1531837
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer undergraduate mathematics series. $3 1567980
856 4 0 $u https://doi.org/10.1007/978-3-030-18747-7
950 $a Mathematics and Statistics (Springer-11649)