Measure and integration theory / Heinz Bauer ; translated from the German by Robert B. Burckel.

Format:

Book

Author/Creator:

Bauer, Heinz, 1928-

Series:

De Gruyter Studies in Mathematics

De Gruyter studies in mathematics ; 26

Standardized Title:

Mass- und Integrationstheorie. English

Language:

English

Subjects (All):

Measure theory.

Integrals, Generalized.

Physical Description:

1 online resource (248 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; New York : W. de Gruyter, 2001.

Language Note:

English

Summary:

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.

Contents:

Front matter

Chapter I Measure Theory

Chapter II Integration Theory

Chapter III Product Measures

Chapter IV Measures on Topological Spaces

Bibliography

Symbol Index

Name Index

Subject Index

Back matter

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [216]-220) and indexes.

ISBN:

9783110866209

311086620X

OCLC:

843635280