TY  - GEN
AU  - Brokate,Martin
AU  - Kersting,Gotz
TI  - Measure and Integral
T2  - Compact textbooks in mathematics
SN  - 9783319153643
U1  - 515.42 23
PY  - 2015///
CY  - Cham
PB  - Birkhauser
KW  - Measure theory.
KW  - Integrals.
N1  - 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 --

N2  - 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.
ER  -