Maß- und Integrationstheorie
Heinz Bauer(Author)
De Gruyter (Publisher)
2nd Edition
Published on 1. July 1992
Book
Hardback
XVIII, 260 pages
978-3-11-013625-8 (ISBN)
Description
This book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The first three chapters (Measure Theory, Integration Theory, Product Measures) basically follow the clear and approved exposition given in the author's earlier book on "Probability Theory and Measure Theory". Special emphasis is laid on a complete discussion of the transformation of measures and integration with respect to the product measure, convergence theorems, parameter depending integrals, as well as the Radon-Nikodym theorem.
The final chapter, essentially new and written in a clear and concise style, deals with the theory of Radon measures on Polish or locally compact spaces. With the main results being Luzin's theorem, the Riesz representation theorem, the Portmanteau theorem, and a characterization of locally compact spaces which are Polish, this chapter is a true invitation to study topological measure theory.
The text addresses graduate students, who wish to learn the fundamentals in measure and integration theory as needed in modern analysis and probability theory. It will also be an important source for anyone teaching such a course.
The final chapter, essentially new and written in a clear and concise style, deals with the theory of Radon measures on Polish or locally compact spaces. With the main results being Luzin's theorem, the Riesz representation theorem, the Portmanteau theorem, and a characterization of locally compact spaces which are Polish, this chapter is a true invitation to study topological measure theory.
The text addresses graduate students, who wish to learn the fundamentals in measure and integration theory as needed in modern analysis and probability theory. It will also be an important source for anyone teaching such a course.
More details
Series
Edition
2., überarb. Aufl.
Language
German
Place of publication
Berlin/Boston
Germany
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
Illustrations, black and white
Dimensions
Height: 23 cm
Width: 15.5 cm
Thickness: 18 mm
Weight
622 gr
ISBN-13
978-3-11-013625-8 (9783110136258)
Schweitzer Classification
Other editions
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Heinz Bauer
Maß- und Integrationstheorie
E-Book
02/2011
2nd Edition
De Gruyter
€104.95
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Heinz Bauer
Maß- und Integrationstheorie
Book
07/1992
2nd Edition
De Gruyter
€104.95
Shipment within 7-9 days