Functional Analysis in Applied Mathematics and Engineering

Michael Pedersen

ISBN 10: 0367399415 / ISBN 13: 9780367399412

Verlag: CRC Press, 2019

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9780367399412

Bibliografische Details

• Titel: Functional Analysis in Applied Mathematics and Engineering
• Verlag: CRC Press
• Erscheinungsjahr: 2019
• Sprache: Englisch
• ISBN-10: 0367399415
• ISBN-13: 9780367399412
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Pedersen, Michael