Measure and Integration Theory

Heinz Bauer, quot;Measure and Integration Theoryquot;
Walter de Gruyter | 2002 | ISBN: 3110167190 | 236 pages | File type: PDF | 5,8 mb
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 authorí»s earlier book on quot;Probability Theory and Measure Theoryquot;. 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 Luziní»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.

[Fast Download] Measure and Integration Theory

Ebooks related to "Measure and Integration Theory" :
Transforming Primary Mathematics
Topological Geometry
Modern Spherical Functions (Translations of Mathematical Monographs)
Metric Spaces
Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue-Based Approach, 2nd editio
Rigid Cohomology (Cambridge Tracts in Mathematics)
Strategic Foundations of General Equilibrium: Dynamic Matching and Bargaining Ga
The Practice of Functional Analytic Psychotherapy
Demystify Math, Science, and Technology: Creativity, Innovation, and Problem-Solving
Matrix Partial Orders, Shorted Operators and Applications
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.