Functional Analysis in Applied Mathematics and Engineering
Book Details
Format
Paperback / Softback
Book Series
Studies in Advanced Mathematics
ISBN-10
0367399415
ISBN-13
9780367399412
Publisher
Taylor & Francis Ltd
Imprint
CRC Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 19th, 2019
Print length
312 Pages
Weight
453 grams
Product Classification:
Calculus & mathematical analysis
Ksh 12,250.00
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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.
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.
This text/reference discusses:
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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