Functional Analysis in Applied Mathematics and Engineering

Functional Analysis in Applied Mathematics and Engineering pdf epub mobi txt 电子书 下载 2025

出版者:CRC Pr I Llc
作者:Pedersen, B. Martin
出品人:
页数:312
译者:
出版时间:1999-9
价格:$ 163.79
装帧:HRD
isbn号码:9780849371691
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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; and, 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.

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