Measure Theory and Integration: Revised and Expanded

ISBN-13: 9780824754013 / Angielski / Twarda / 2004 / 792 str.

M. M. Rao

Opis

Like many other textbooks aimed at an advanced graduate audience, Rao's (math, U. of California-Riverside) can also be used as a reference by working professionals. Rao exerts himself considerably to prevent these two uses from conflicting by frequently restating key concepts, keeping the chapters r

Recenzje

"Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types - providing a complete and detailed review of every aspect of measure and integration theory[,] offering valuable examples, exercises, and applications. This book examines the Henstock-Kurzweil integral with approaches not found in any other text."
- L'Enseignement Mathematique, Vol. 50, 1-2, Jan-Jun 2004

"This monograph provides a significantly revised and expanded version of the original edition published in 1987 on the classical topics in measure theory and integration. …The book is well understandable and requires only a basic knowledge of advanced calculus….It can be warmly recommended to a broad spectrum of reader - to graduate students as well as young researchers who wish to become acquainted with the basic elements and deeper properties of abstract analysis and its applications."
-EMS Newsletter, March 2006

Spis treści

Introduction and Preliminaries
Measurability and Measures
Measurable Functions
Classical Integration
Differentiation and Duality
Product Measures and Integrals
Nonabsolute Integration
Capacity Theory and Integration
The Lifting Theorem
Topological Measures
Some Complements and Applications
Appendix
References
Index of Symbols and Notation
Author Index
Subject Index

O autorze

M.M. Rao