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Measure and Integral

Brokate, Martin.

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Measure and Integral

Record Type:	Electronic resources : Monograph/item
Title/Author:	Measure and Integral/ by Martin Brokate, Gotz Kersting.
Author:	Brokate, Martin.
other author:	Kersting, Gotz.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	vii, 172 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature.
Contained By:	Springer eBooks
Subject:	Measure theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-15365-0
ISBN:	9783319153650 (electronic bk.)

Measure and Integral
Brokate, Martin.

Measure and Integral[electronic resource] /by Martin Brokate, Gotz Kersting. - Cham :Springer International Publishing :2015. - vii, 172 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Preface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature.

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.

ISBN: 9783319153650 (electronic bk.)

Standard No.: 10.1007/978-3-319-15365-0doiSubjects--Topical Terms:

516951
Measure theory.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Measure and Integral
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100 1 $a Brokate, Martin. $3 2156828
240 1 0 $a Mass und Integral. $l English
245 1 0 $a Measure and Integral $h [electronic resource] / $c by Martin Brokate, Gotz Kersting.
260 # $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a vii, 172 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 # $a Preface -- 1 Introduction -- 2 Measurability -- 3 Measures -- 4 The Integral of Nonnegative Functions -- 5 Integrable Functions -- 6 Convergence -- 7 Uniqueness and Regularity of Measures -- 8 Multiple Integrals and Product Measures -- 9 Absolute Continuity -- 10 The Transformation Formula of Jacobi -- 11 Construction of Measures -- 12 Hilbert Spaces -- 13 Banach Spaces -- Literature.
520 # $a The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.
650 # 0 $a Measure theory. $3 516951
650 # 0 $a Integrals. $3 546791
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Measure and Integration. $3 891263
700 1 # $a Kersting, Gotz. $3 2156829
710 2 # $a SpringerLink (Online service) $3 836513
773 0 # $t Springer eBooks
830 0 $a Compact textbooks in mathematics. $3 2107015
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15365-0
950 $a Mathematics and Statistics (Springer-11649)