Functional Analysis in Applied Mathematics and Engineering: 31 - Rilegato

Libro 20 di 23: Studies in advanced Mathematics

Pedersen, Michael

 
9780849371691: Functional Analysis in Applied Mathematics and Engineering: 31
Rilegato
ISBN 10: 0849371694 ISBN 13: 9780849371691
Casa editrice: CRC Press, 1999

Sinossi

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.

    • Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

    Informazioni sull?autore

    Pedersen\, Michael

    Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

    Editore
    CRC Press
    Data di pubblicazione
    1999
    Lingua
    Inglese
    ISBN 10 
    0849371694
    ISBN 13 
    9780849371691
    Rilegatura
    Copertina rigida
    Numero edizione
    1
    Numero di pagine
    310
    Contatto del produttore
    non disponibile
    Persona responsabile
    non disponibile

    Altre edizioni note dello stesso titolo

    9780367399412: Functional Analysis in Applied Mathematics and Engineering

    Edizione in evidenza

    ISBN 10:  0367399415 ISBN 13:  9780367399412
    Casa editrice: CRC Press, 2019
    Brossura