Introduction to topology and modern analysis
Material type: TextSeries: International series in pure and applied mathematicsPublication details: Tokiyo: McGraw-Hill Kogakusha, 1963Description: xv, 372 pages : illustrationsISBN: 9780070856950; 0070856958Subject(s): Topology | Mathematical analysisDDC classification: 514Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Lending Books | Main Library Stacks | Reference | 514 SIM (Browse shelf(Opens below)) | Available | 007979 |
Includes Bibliography & Index
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.
This material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other.
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