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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Moore, Ramon E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Chichester, UK [England] : Horwood Pub., 2007.
Edición:2nd ed.
Colección:Ellis Horwood series in mathematics and its applications.
Temas:
Functional analysis.
Analyse fonctionnelle.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Functional analysis
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • Fréchet 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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