Електронна книга > Наука > Математика > Michael Pedersen: Functional Analysis in Applied Mathematics and Engineering (PDF)

Michael Pedersen
Functional Analysis in Applied Mathematics and Engineering [PDF ebook]

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Обкладинка Michael Pedersen: Functional Analysis in Applied Mathematics and Engineering (PDF)

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.

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Формат PDF ● Сторінки 312 ● ISBN 9781351446907 ● Видавець CRC Press ● Опубліковано 2018 ● Завантажувані 3 разів ● Валюта EUR ● Посвідчення особи 7121979 ● Захист від копіювання Adobe DRM

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Michael Pedersen Lyngby, Denmark) Pedersen Michael (Technical University of Denmark

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