TY - GEN AU - Simmons, George F. TI - Introduction to topology and modern analysis SN - 0070597844 U1 - 513.83 PY - 2004/// CY - New York PB - McGraw-Hill KW - Topology KW - Mathematical analysis N1 - 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 ER -