Functional Analysis in Applied Mathematics and Engineering
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A01=Michael Pedersen
advanced functional analysis applications
Author_Michael Pedersen
banach
Banach Space
basis
boundary value problems
Bounded Linear Operators
Category=PBK
cauchy
Cauchy Sequence
Compact Self-Adjoint Operators
Continuous Linear Mapping
control systems analysis
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fredholm Integral Equation
hilbert
Hilbert Schmidt Operators
Hilbert Spaces
Infinite Dimensional Hilbert Spaces
Infinitesimal Generator
Interpolation Spaces
Linear Operators
mathematical rigor
Metric Space
normed
Normed Vector Space
operator theory methods
Ordinary Differential Equation
orthonormal
Orthonormal Basis
Orthonormal Sequence
partial differential equations
Pure Point Spectrum
Self-adjoint Operator
sequence
Sesquilinear Form
Sobolev Spaces
space
spaces
Spectral Theorem
Unbounded Operator
variational principles
vector
Vector Space
Volterra Integral Equation
Product details
- ISBN 9780367399412
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 19 Jun 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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:
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.
Pedersen, Michael
