Lectures on Real Analysis

by James J Yeh

Overview

The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory. This volume shows how and why the Lebesgue integral is such a universal and powerful concept.The lines of development of the theory are made clear by the order in which the main theorems are presented. Frequent references to earlier theorems made in the proofs emphasize the interdependence of the theorems and help to show how the various definitions and theorems fit together. Counterexamples are included to show why a hypothesis in a theorem cannot be dropped.The book is based upon a course on real analysis which the author has taught. It is particularly suitable for a one-year course at the graduate level. Precise statements and complete proofs are given for every theorem, with no obscurity left. For this reason the book is also suitable for self-study.

Product Details

ISBN-13:	9789810239367
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	07/28/2000
Pages:	564
Product dimensions:	6.20(w) x 9.00(h) x 1.50(d)

Editorial Reviews

Based on a course taught by Yeh (U. of California, Irvine) in the mathematical field of real analysis, this technical volume demonstrates why the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability. The first five chapters of the book are designed for a one year, graduate level course on the theory of measure and integration, the last two chapters, on measurements in Euclidean Space, take another academic quarter to complete. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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