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Functional Analysis In Applied Mathematics And Engineering First Edition Pedersen

SKU: BELL-9953022

$ 31.00 ~~$ 45.00~~ (-31%)

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Functional Analysis In Applied Mathematics And Engineering First Edition Pedersen instant download after payment.

Publisher: Routledge

File Extension: PDF

File size: 9.2 MB

Pages: 312

Author: Pedersen, Michael

ISBN: 9780203755426, 9780849371691, 0203755421, 0849371694

Language: English

Year: 2018

Edition: First edition

Product desciption

Functional Analysis In Applied Mathematics And Engineering First Edition Pedersen by Pedersen, Michael 9780203755426, 9780849371691, 0203755421, 0849371694 instant download after payment.

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 topologyBanach's fixed point theorem with applicationsL^p-spacesdensity theorems for testfunctionsinfinite dimensional spacesbounded linear operatorsFourier seriesopen mapping and closed graph theoremscompact and differential operatorsHilbert-Schmidt operatorsVolterra equationsSobolev spacescontrol theory and variational analysisHilbert Uniqueness Methodboundary element methodsFunctional 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.
Abstract: 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 topologyBanach's fixed point theorem with applicationsL^p-spacesdensity theorems for testfunctionsinfinite dimensional spacesbounded linear operatorsFourier seriesopen mapping and closed graph theoremscompact and differential operatorsHilbert-Schmidt operatorsVolterra equationsSobolev spacescontrol theory and variational analysisHilbert Uniqueness Methodboundary element methodsFunctional 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