This book provides an elementary introduction to the classical analysis on normed spaces, paying special attention to no
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English Pages 356 [372] Year 1995
Table of contents :
Content: Ch. 1. Metric Spaces --
Ch. 2. Complete, Compact and Connected Sets --
Ch. 3. Banach Spaces --
Ch. 4. Simplicial Complexes --
Ch. 5. Topological Fixed Points --
Ch. 6. Foundation of Functional Analysis --
Ch. 7. Natural Constructions --
Ch. 8. Complex Analysis --
Ch. 9. Differentiation in Banach Spaces --
Ch. 10. Polynomials and Higher Derivatives --
Ch. 11. Ordinary Differential Equations --
Ch. 12. Compact Linear Operators --
Ch. 13. Operators on Hilbert Spaces --
Ch. 14. Spectral Properties of Hilbert Spaces --
Ch. 15. Tensor Products.