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Measure and Integral / Martin Brokate and Gotz Kersting.

By: Contributor(s): Series: Compact textbooks in mathematicsPublication details: Cham : Birkhauser, 2015.Description: vii, 172 p. : illustrations ; 24 cmISBN:
  • 9783319153643
Subject(s): DDC classification:
  • 515.42 23 B867
Contents:
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 --
Summary: This book 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.42 B867 (Browse shelf(Opens below)) Available 136931
Total holds: 0

Includes bibliographical references and index.

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 --

This book 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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