Articles liés à Functional Analysis in Applied Mathematics and Engineering

Functional Analysis in Applied Mathematics and Engineering - Couverture souple

Livre 20 sur 23: Studies in advanced Mathematics

Pedersen, Michael

 
9780367399412: Functional Analysis in Applied Mathematics and Engineering
Couverture souple
ISBN 10 : 0367399415 ISBN 13 : 9780367399412
Editeur : CRC Press, 2019

Synopsis

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.

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Pedersen, Michael

    À propos de la quatrième de couverture

    Functional Analysis in Applied Mathematics and Engineering focuses on material useful to control specialists working in the disciplines of electrical, mechanical, and aerospace engineering. It begins with a rigorous introduction to the abstract basic function spaces and operators, 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.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    CRC Press
    Date d'édition
    2019
    Langue
    anglais
    ISBN 10 
    0367399415
    ISBN 13 
    9780367399412
    Reliure
    Broché
    Nombre de pages
    312
    Coordonnées du fabricant
    CRC Press
    https://www.routledge-ny.com

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