Introductory real analysis
A. N. Kolmogorov, Richard A. Silverman (Translator, Editor), S. V. Fomin (Author)
"Introductory Real Analysis" by A. N. Kolmogorov and S. V. Fomin, translated and edited by Richard A. Silverman, is a comprehensive and self-contained introduction to real and functional analysis. The text is organized into 37 sections, each accompanied by a set of carefully selected problems, totaling approximately 350 exercises, making it suitable for both self-study and classroom use. The book is divided into four parts: the first covers basic concepts in set theory, metric spaces, topological spaces, and linear spaces; the second delves into linear functionals and linear operators; the third focuses on measure, integration, and differentiation; and the fourth explores advanced topics such as the Lebesgue integral, Fubini's theorem, and the Stieltjes integral. This structure provides a solid foundation for a one-year course in real analysis. The translation by Dr. Silverman includes numerous pedagogical and mathematical improvements, enhancing the clarity and readability of the original text
Print Book, English, 1975, ©1970
Rev. English ed
Dover Publications, New York, 1975, ©1970