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

Pedersen, Michael

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.

About this title

About the Author

Pedersen\, Michael

Edition details

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