Measure and Integral / Martin Brokate and Gotz Kersting.
Series: Compact textbooks in mathematicsPublication details: Cham : Birkhauser, 2015.Description: vii, 172 p. : illustrations ; 24 cmISBN:- 9783319153643
- 515.42 23 B867
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 515.42 B867 (Browse shelf(Opens below)) | Available | 136931 |
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515.42 B583 Integration theory | 515.42 B674 Measure theory | 515.42 B674 Measure theory | 515.42 B867 Measure and Integral / | 515.42 C243 Measure, integral and probability | 515.42 C262 Algebraic theory of measure and integration | 515.42 C455 Course on integration theory |
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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