Item Description: | Contents: 1. Metric spaces 2. Normed spaces. Banach spaces 3. Inner product spaces. Hilbert spaces 4. Fundamental theorems for normed and banach spaces 5. Further applications: Banach fixed point theorem 6. Further applications: Approximation theory 7. Spectral theory of linar operatos in normal spaces 8. Compact liner operators on normed spaces and their spectrum 9. Spectral theory of bounded self-adjoint linear operators 10. Unbounded linear operators in Hilbert space 11. Unbounded linear operators in quantum mechanics |