Computational functional analysis

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
Main Author Moore, Ramon E.
Format Electronic eBook
LanguageEnglish
Published Chichester, UK [England] : Horwood Pub., 2007.
Edition2nd ed.
SeriesEllis Horwood series in mathematics and its applications.
Subjects
Functional analysis.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781613448120
1613448120
9780857099433
0857099434
1904275249
9781904275244
Physical Description1 online resource (180 pages) : illustrations

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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
  • 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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