
Functional Analysis for Physics and Engineering: A Gentle but Rigorous Audio Guide to Hilbert Spaces, Operators, and Spectra for Real-World Models
Jonathan Ward
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Opening Credits
1/11/2026
Chapter 1: Why Ordinary Linear Algebra Is Not Enough
1/11/2026
Chapter 2: From Vectors to Function Spaces
1/11/2026
Chapter 3: Inner Products, Geometry, and Hilbert Spaces
1/11/2026
Chapter 4: Linear Operators as Physical and Engineering Devices
1/11/2026
Chapter 5: Unbounded Operators, Adjoints, and Self Adjointness
1/11/2026
Chapter 6: Orthonormal Bases, Modes, and Fourier Expansions
1/11/2026
Chapter 7: Beyond Classical Functions: Distributions and Weak Solutions
1/11/2026
Chapter 8: Spectral Theory of Compact Operators
1/11/2026
Chapter 9: Self Adjoint Operators, Continuous Spectra, and Quantum Models
1/11/2026
Chapter 10: Putting It All Together: Functional Analysis in Model Problems
1/11/2026
Closing Credits
1/11/2026