Introduction to topology and modern analysis
מחבר ראשי: | |
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Resource Type: | ספר |
שפה: | English |
יצא לאור: |
Auckland
McGraw-Hill International Book Company
[1963]
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סדרה: | International series in pure and applied mathematics
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נושאים: |
תוכן הענינים:
- 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.