Measure and Integral
Published on 9. July 2015
Book
Paperback/Softback
VII, 172 pages
978-3-319-15364-3 (ISBN)
Description
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.
More details
Series
Edition
2015
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Upper undergraduate
Illustrations
24 s/w Abbildungen
VII, 172 p. 24 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
283 gr
ISBN-13
978-3-319-15364-3 (9783319153643)
DOI
10.1007/978-3-319-15365-0
Schweitzer Classification
Other editions
Additional editions
Martin Brokate | Götz Kersting
Measure and Integral
E-Book
06/2015
Birkhäuser
€42.79
Available for download
Persons
Martin Brokate is Professor for Mathematical Modelling at TU Munich, Germany. Götz Kersting is Professor for Stochastics at the Goethe University in Frankfurt / Main, Germany.
Content
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.