Functional Analysis in Applied Mathematics and Engineering is popular PDF and ePub book, written by Michael Pedersen in 2018-10-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Functional Analysis in Applied Mathematics and Engineering can be Read Online from any device for your convenience.
Functional Analysis in Applied Mathematics and Engineering Book PDF Summary
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.
Detail Book of Functional Analysis in Applied Mathematics and Engineering PDF
- Author : Michael Pedersen
- Release : 03 October 2018
- Publisher : Routledge
- ISBN : 9781351446907
- Genre : Mathematics
- Total Page : 312 pages
- Language : English
- PDF File Size : 15,9 Mb
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