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)