Elements of the Theory of Functions and Functional Analysis - A. N. Kolmogorov

Elements of the Theory of Functions and Functional Analysis is an advanced-level mathematics text by A. N. Kolmogorov. This paperback edition presents a one-volume reprint of a work originally published in two volumes.

Key details

• Author: A. N. Kolmogorov
• Format: Paperback
• Pages: 288
• Publisher: Dover Publications Inc
• Publication date: 28 March 2003
• ISBN: 9780486406831

Synopsis

Based on courses and lectures delivered at Moscow State University and the University of Moscow, this volume brings together two parts covering core areas of functional analysis. The first part examines metric and normed spaces, opening with set theory and mappings before developing the theory of metric and complete metric spaces. It also gives detailed treatment to contraction mappings and their use in existence theorems for differential and integral equations, alongside a discussion of continuous curves in metric spaces.

The second part turns to measure theory, including the Lebesque interval and Hilbert space. Throughout, each section concludes with numerous exercises, and the text is supported by lists of symbols, definitions, and theorems.

Rackhams Reference : IC8VEEBLJP