Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms — including problems in the complex domain, especially involving the Laplace transform — and more. Each chapter includes a set of problems, with hints and answers. Bibliography. 1974 edition.
Functional Analysis by Frigyes Riesz, Béla Sz.-Nagy Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition.
An Introduction to Mathematical Analysis by Robert A. Rankin Dealing chiefly with functions of a single real variable, this text by a distinguished educator introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. 1963 edition.
Functional Analysis and Linear Control Theory by J. R. Leigh Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text demonstrates the subject's unity with a wide range of powerful theorems. 1980 edition.
Theory of Linear Operations by Stefan Banach, F. Jellett Written by the founder of functional analysis, this is the first text on linear operator theory. Additional topics include the calculus of variations and theory of integral equations. 1987 edition.
