Functional Analysis in Applied Mathematics and Engineering - Hardback

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 topolog Banach's fixed point theorem with application L^p-space density theorems for testfunction infinite dimensional space bounded linear operator Fourier serie open mapping and closed graph theorem compact and differential operator Hilbert-Schmidt operator Volterra equation Sobolev space control theory and variational analysi Hilbert Uniqueness Metho boundary element method
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.