An introduction to functional analysis for science and engineering
2 days ago
- #Functional Analysis
- #Hilbert Spaces
- #Scientific Computing
- A tutorial introduction to functional analysis for scientists and engineers, focusing on physical problems like waves in continuous media.
- Covers key topics: sets and sequences, spaces of vectors/functions, norms and metrics, convergence, Hilbert spaces, inner products, and operators.
- Introduces compact operators to handle infinite sets, Hilbert-Schmidt operators for physical problems, eigenfunctions, and singular-value decomposition.
- Aims to be mathematically complete yet accessible, with a clear narrative flow by separating longer proofs.
- Intended to help those in physical sciences and engineering understand necessary functional analysis mathematics.