Functional Analysis in Applied Mathematics and Engineering - Michael Pedersen

Functional Analysis in Applied Mathematics and Engineering

Buch | Hardcover
310 Seiten
1999
Crc Press Inc (Verlag)
978-0-8493-7169-1 (ISBN)
218,20 inkl. MwSt
Focuses on material useful to control specialists working in the disciplines of electrical, mechanical, and aerospace engineering. This book offers an introduction to the abstract basic function spaces and operators, then studies problems in the Hilbert space setting.
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.

Pedersen/, Michael

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

Erscheint lt. Verlag 29.9.1999
Reihe/Serie Studies in Advanced Mathematics
Verlagsort Bosa Roca
Sprache englisch
Maße 156 x 234 mm
Gewicht 740 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-8493-7169-4 / 0849371694
ISBN-13 978-0-8493-7169-1 / 9780849371691
Zustand Neuware
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