Functional Analysis in Applied Mathematics and Engineering (Studies in Advanced Mathematics, Band 31) - Hardcover

Buch 20 von 23: Studies in advanced Mathematics

Pedersen, Michael

 
9780849371691: Functional Analysis in Applied Mathematics and Engineering (Studies in Advanced Mathematics, Band 31)
Hardcover
ISBN 10: 0849371694 ISBN 13: 9780849371691
Verlag: Crc, 1999

Inhaltsangabe

Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering.

This text/reference discusses:

  • rudimentary topology
  • Banach's fixed point theorem with applications
  • L^p-spaces
  • density theorems for testfunctions
  • infinite dimensional spaces
  • bounded linear operators
  • Fourier series
  • open mapping and closed graph theorems
  • compact and differential operators
  • Hilbert-Schmidt operators
  • Volterra equations
  • Sobolev spaces
  • control theory and variational analysis
  • Hilbert Uniqueness Method
  • boundary element methods

    Functional Analysis in Applied Mathematics and Engineering begins with an introduction to the important, abstract basic function spaces and operators with mathematical rigor, then studies problems in the Hilbert space setting. The author proves the spectral theorem for unbounded operators with compact inverses and goes on to present the abstract evolution semigroup theory for time dependent linear partial differential operators. This structure establishes a firm foundation for the more advanced topics discussed later in the text.

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    Über die Autorin bzw. den Autor

    Pedersen\, Michael

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    Verlag
    Crc
    Erscheinungsdatum
    1999
    Sprache
    Englisch
    ISBN 10 
    0849371694
    ISBN 13 
    9780849371691
    Einband
    Gebundene Ausgabe
    Anzahl der Seiten
    312
    Kontakt zum Hersteller
    CRC Press
    https://www.routledge-ny.com

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