Introduction to topology and modern analysis - Simmons, George F. (George Finlay) 1925- (New York McGraw-Hill, 1963)
pt. I. Topology. Sets and functions -- Metric spaces -- Topological spaces -- Compactness -- Separation -- Connectedness -- Approximation -- pt. II. Operators. Algebraic systems -- Banach spaces -- Hilbert spaces -- Finite-dimensional spectral theory -- pt. III. Algebras of operators. General preliminaries on Banach algebras -- The structure of commutative Banach algebras -- Some special commutative Banach algebras -- Appendices: 1. Fixed point theorems and some applications to analysis -- 2. Continuous curves and the Hahn-Mazurkiewicz theorem -- 3. Boolean algebras, Boolean rings, and Stone's theorem.
Includes bibliographical references (pages 355-357) and indexes.
Keywords: Topology; Mathematical analysis