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Measure and Integral

Measure and Integral
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
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