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Functional Analysis in Applied Mathematics and Engineering: 31 (Studies in Advanced Mathematics) - Tapa dura

Libro 20 de 23: Studies in advanced Mathematics

Pedersen, Michael

 
9780849371691: Functional Analysis in Applied Mathematics and Engineering: 31 (Studies in Advanced Mathematics)
Tapa dura
ISBN 10: 0849371694 ISBN 13: 9780849371691
Editorial: CRC Press, 1999

Sinopsis

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.

    • "Sinopsis" puede pertenecer a otra edición de este libro.

    Acerca del autor

    Pedersen\, Michael

    De la contraportada

    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.

    "Sobre este título" puede pertenecer a otra edición de este libro.

    Editorial
    CRC Press
    Año de publicación
    1999
    Idioma
    Inglés
    ISBN 10 
    0849371694
    ISBN 13 
    9780849371691
    Encuadernación
    Tapa dura
    Número de edición
    1
    Número de páginas
    310
    Contacto del fabricante
    Taylor and Francis, GPSR Taylor and Francis
    gpsr@taylorandfrancis.com

    Taylor & Francis Verlag GmbH, Kaufingerstraße 24
    München
    80331
    Alemania