INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS, Erwin Kreyszig
This five major blocks devided by 11 chapters of following .
Chapter 1. Metric Spaces
Chapter 2. Normed Spaces. Banach Space
Chapter 3. Inner Product Spaces. Hilbert Spaces
Chapter 4. Fundamental Theorems for Normed and Banach Spaces
Chapter 5. Further Applications: Banach Fixed Point Theorem
Chapter 7. Spectral Theory of Linear Operators in Normed Spaces
Chapter 8. Compact Linear Operators on Normed xi Spaces and Their Spectrum
Chapter 9. Spectral Theory of Bounded Self-Adjoint Linear Operators
Chapter 10. Unbounded Linear Operators in Hilbert Space
Chapter 11. Unbounded Linear Operators in Quantum Mechanics
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