Dealing chiefly with functions of a single real variable, this text is geared toward advanced undergraduates and graduate students. It introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. Written by a distinguished educator and researcher, it features numerous examples and hints. 1963 edition. Reprint of the Pergamon, New York, 1963 edition.
Elementary Functional Analysis by Georgi E. Shilov Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.