Functional Analysis in Applied Mathematics and Engineering - Studies in Advanced Mathematics - Michael Pedersen - Knihy - Taylor & Francis Ltd - 9780367399412 - 19. júna 2019
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Michael Pedersen
Functional Analysis in Applied Mathematics and Engineering - Studies in Advanced Mathematics 1. vydanie

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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.

312 pages

Médium Knihy     Paperback Book   (Kniha s mäkkou väzbou a lepeným chrbtom)
Vydané 19. júna 2019
ISBN13 9780367399412
Vydavatelia Taylor & Francis Ltd
Strany 312
Rozmery 150 × 220 × 10 mm   ·   453 g
Jazyk Angličtina  
Editor série Krantz, Steven G. (Washington University, St. Louis, Missouri, USA)

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