Functional Analysis in Applied Mathematics and Engineering

ISBN-13: 9780849371691 / Angielski / Twarda / 1999 / 312 str.

Michael Pedersen

Opis

This text on functional analysis in applied mathematics and engineering introduces basic function spaces and operators early so that the student can study problems at great length in the Hilbert space setting. A firm foundation for the subject is established by covering the spectral theorem for unbounded operators and the abstract evolution semi-group theory for time-dependent linear partial differential equations. Over 200 exercises are included in the text and a solutions manual is available for the instructor. The book should be useful to control engineers from the disciplines of electrical, mechanical and aerospace engineering.

Spis treści

Topological and Metric Spaces
Banach Spaces
Bounded Operators
Hilbert Spaces
Operators in Hilbert Space
Spectral Theory
Integral Operators
Semigroups of Evolution
Sobolev Spaces
Interpolation Spaces
Linear Elliptic Operators
Regularity of Hyperbolic Mixed Problems
The Hilbert Uniqueness Method
Exercises
References

O autorze

Pedersen\, Michael