Computational functional analysis /

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This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Moore, Ramon E.
Format: Electronic eBook
Language:Inglés
Published: Chichester, UK [England] : Horwood Pub., 2007.
Edition:2nd ed.
Series:Ellis Horwood series in mathematics and its applications.
Subjects:
Functional analysis.
Analyse fonctionnelle.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Functional analysis
Online Access:Texto completo
Table of Contents:
  • Linear spaces
  • Topological spaces
  • Metric spaces
  • Normed linear spaces and Banach spaces
  • Inner product spaces and Hilbert spaces
  • Linear functionals
  • Types of convergence in function spaces
  • Reproducing Kernel Hilbert spaces
  • Order relations in function spaces
  • Operators in function spaces
  • Completely continuous (compact) operators
  • Approximation methods for linear operator equations
  • Interval methods for operator equations
  • Contraction mappings and iterative methods
  • Fr�echet derivatives
  • Newton's method in Banach spaces
  • Variants of Newton's method
  • Homotopy and continuation methods
  • A hybrid method for a free boundary problem.

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