Functional Analysis and Applications

• Κύριος συγγραφέας: Siddiqi, Abul Hasan (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Industrial and Applied Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.