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Measure and Integral
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SpringerLink (Online service)
Measure and Integral
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Measure and Integral/ by Martin Brokate, Götz Kersting.
Author:
Brokate, Martin.
other author:
Kersting, Götz.
Description:
VII, 172 p. 24 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Measure theory. -
Online resource:
https://doi.org/10.1007/978-3-319-15365-0
ISBN:
9783319153650
Measure and Integral
Brokate, Martin.
Measure and Integral
[electronic resource] /by Martin Brokate, Götz Kersting. - 1st ed. 2015. - VII, 172 p. 24 illus.online resource. - 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
Standard No.: 10.1007/978-3-319-15365-0doiSubjects--Topical Terms:
527848
Measure theory.
LC Class. No.: QA312-312.5
Dewey Class. No.: 515.42
Measure and Integral
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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.
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