Measure and Integration Theory

Name: Measure and Integration Theory
Brand: De Gruyter
SKU: 9783110167191
Price: 582.91 RON
Availability: InStock

Autor: Heinz Bauer, Robert B. Burckel

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Legare: Copertă tare

Editura: De Gruyter

Disponibilitate: În depozitul extern

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582.91 lei

This book gives a straightforward introduction to the field as it is nowadays required in many branc...

Informații despre carte

Autor

Heinz Bauer, Robert B. Burckel

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2001

Pagini

246

EAN

9783110167191

ISBN

3110167190

Enbook ID

09252431

Editura

De Gruyter

Greutate

571

Dimensiuni

242 x 163 x 22

Descriere completă

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.

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