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Lebesgue integral

Florescu, Liviu C.

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Lebesgue integral

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lebesgue integral/ by Liviu C. Florescu.
Author:	Florescu, Liviu C.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xi, 215 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Measurable functions -- Lebesgue integral -- The Lp spaces -- Lebesgue integral on R2 -- Signed measures -- Appendices -- Bibliography -- Index.
Contained By:	Springer Nature eBook
Subject:	Lebesgue integral. -
Online resource:	https://doi.org/10.1007/978-3-030-60163-8
ISBN:	9783030601638

Lebesgue integral
Florescu, Liviu C.

Lebesgue integral[electronic resource] /by Liviu C. Florescu. - Cham :Springer International Publishing :2021. - xi, 215 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Introduction -- Measurable functions -- Lebesgue integral -- The Lp spaces -- Lebesgue integral on R2 -- Signed measures -- Appendices -- Bibliography -- Index.

This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and present crucial theoretical challenges. By taking on another approach, this textbook provides less experienced readers with material that allows an easy access to the definition and main properties of the Lebesgue integral. The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can also be useful to students in the faculties of mathematics, physics, computer science, engineering, life sciences, as an introduction to a more in-depth study of measure theory.

ISBN: 9783030601638

Standard No.: 10.1007/978-3-030-60163-8doiSubjects--Topical Terms:

540534
Lebesgue integral.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Lebesgue integral
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245 1 0 $a Lebesgue integral $h [electronic resource] / $c by Liviu C. Florescu.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2021.
300 $a xi, 215 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 $a Introduction -- Measurable functions -- Lebesgue integral -- The Lp spaces -- Lebesgue integral on R2 -- Signed measures -- Appendices -- Bibliography -- Index.
520 $a This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. Most measure theory treaties involve a large amount of prerequisites and present crucial theoretical challenges. By taking on another approach, this textbook provides less experienced readers with material that allows an easy access to the definition and main properties of the Lebesgue integral. The book will be welcomed by upper undergraduate/early graduate students who wish to better understand certain concepts and results of probability theory, statistics, economic equilibrium theory, game theory, etc., where the Lebesgue integral makes its presence felt throughout. The book can also be useful to students in the faculties of mathematics, physics, computer science, engineering, life sciences, as an introduction to a more in-depth study of measure theory.
650 0 $a Lebesgue integral. $3 540534
650 1 4 $a Real Functions. $3 891265
710 2 $a SpringerLink (Online service) $3 836513
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950 $a Mathematics and Statistics (SpringerNature-11649)