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Книга

Measure theory

Vol. 1, 2. Springer, 2007.

This book gives a systematic presentation of modern measure theory as it has developed over the past century. It includes material for a standard graduate course, advanced material not covered by the standard course but necessary in order to read research literature in the area, and extensive additional information on the most diverse aspects of measure theory and its connections with other fields. Over 850 exercises with detailed hints or references are given. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided. The subject index includes more than 1000  items. The book is intended for graduate students, instructors of courses in measure and integration theory, and researchers in all fields of mathematics; it may serve as either a textbook, a source for a variety of advanced courses, or a reference work.

Measure theory