Functional Analysis and Applications

• Main Author: Siddiqi, Abul Hasan (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Industrial and Applied Mathematics,
• Subjects: Functional analysis.; Mathematical models.; Mathematical optimization.; Operator theory.; Partial differential equations.; Algorithms.; Functional Analysis.; Mathematical Modeling and Industrial Mathematics.; Optimization.; Operator Theory.; Partial Differential Equations.

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a v...

Table of Contents:

• Metric Spaces and Banach Fixed Point Theorem
• Banach Spaces
• Hilbert Space
• Fundamental Theorems
• Differential and Integral Calculus in Banach Spaces
• Optimisation Problems
• Operator Equations and Variational Methods
• Finite Element and Boundary Element Methods
• Variational Inequalities and Applications
• Spectral Theory with Application
• Frame and Basis Theory in Hilbert Spaces
• Wavelet Theory
• Wavelet Method for Partial Dierential Equations and Image Processing
• Wavelet Frames
• Gabor Analysis.