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Functional Analysis in Applied Mathematics and Engineering by Michael Pedersen (Technical University of Denmark, Lyngby, Denmark) at Abbey's Bookshop,
Functional Analysis in Applied Mathematics and Engineering
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Michael Pedersen (Technical University of Denmark, Lyngby, Denmark) Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

Functional Analysis in Applied Mathematics and Engineering

Michael Pedersen (Technical University of Denmark, Lyngby, Denmark),  Steven G. Krantz (Washington University, St. Louis, Missouri, USA)

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English
CRC Press
19 June 2019
Applied mathematics
Series: Studies in Advanced Mathematics
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.
By:  
Series edited by:  
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   576g
ISBN:   9780367399412
ISBN 10:   0367399415
Series:   Studies in Advanced Mathematics
Pages:   312
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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

Pedersen, Michael

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