Introduction to topology and modern analysis /

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Bibliographic Details
Main Author: Simmons, George F.
Format: Printed Book
Language:English
Published: Chennai: McGraw-Hill, 2004.
Subjects:
Topology. Mathematical analysis. > Topologie. Analyse mathématique. > Functionaalanalyse. > Algèbres d'opérateurs. > Banach, Algèbres de.
Table of Contents:
  • 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.

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