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Catalogue Information
Field name
Details
Dewey Class
515.42
Title
Measure and Integral ([EBook]) / by Martin Brokate, Götz Kersting.
Author
Brokate, Martin
Added Personal Name
Kersting, Götz
author.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2015.
Physical Details
VII, 172 p. 24 illus. : online resource.
Series
Compact Textbooks in Mathematics
2296-4568
ISBN
9783319153650
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-319-15365-0
Links to Related Works
Subject References:
Mathematics
.
Measure and Integration
.
Measure theory
.
Authors:
Brokate, Martin
.
Kersting, Götz
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Corporate Authors:
SpringerLink (Online service)
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Series:
Compact Textbooks in Mathematics
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Classification:
515.42
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