Synopsis
In this update of the 1997 edition, Rana, formerly a doctoral student at the U. of Bombay (Mumbia) and later affiliated with several schools including the Indian Institute of Technology-Bombay, presents a "motivated approach" to a core subject of the graduate math curriculum variously known as Lebesgue measure and integration, real analysis, measure theory, modern, or advanced analysis. The author treats modern extensions of Lebesque's theory developed to remove some drawbacks of the Riemann integral. Includes technical appendices (e.g., on the continuum hypothesis, Urysohn's lemma, singular value decomposition of a matrix, and differentiable transformations.) Indexed by subject and notation. The series is listed as "Graduate studies..." on the cover and title page, but as "Graduate texts...." per CiP. Annotation c. Book News, Inc., Portland, OR