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

Book 20 of 23: Studies in advanced Mathematics

Pedersen, Michael

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

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.

    • "synopsis" may belong to another edition of this title.

    About the Author

    Pedersen\, Michael

    From the Back Cover

    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.

    "About this title" may belong to another edition of this title.

    Publisher
    CRC Press
    Publication date
    1999
    Language
    English
    ISBN 10 
    0849371694
    ISBN 13 
    9780849371691
    Binding
    Hardcover
    Edition number
    1
    Number of pages
    310