Functional Analysis and Applications

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...

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Hlavní autor: Siddiqi, Abul Hasan (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Singapore , 2018.
Vydání:1st ed. 2018.
Edice:Industrial and Applied Mathematics,
Témata:
ISBN:9789811037252
ISSN:2364-6837
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Obsah:
  • 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.