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CRC Press Functional Analysis in Applied Mathematics and Engineering

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Description

Functional Analysis in Applied Mathematics and Engineering provides essential material for students and professionals starting a first course in functional analysis. This text is specifically designed to benefit control engineers working within electrical, mechanical, and aerospace engineering disciplines. By focusing on practical applications, the book serves as both a textbook and a reliable reference for understanding complex mathematical structures used in engineering fields. The content covers fundamental mathematical concepts including rudimentary topology and Banach's fixed point theorem. Readers will gain knowledge on L^p-spaces, density theorems for testfunctions, and infinite dimensional spaces. The material also addresses bounded linear operators, Fourier series, and the open mapping and closed graph theorems. For those studying operator theory, the text includes details on compact and differential operators, Hilbert-Schmidt operators, and Volterra equations. This comprehensive approach ensures that engineers have the mathematical tools required for advanced technical work.

Key Features

Tailored for control engineers in electrical, mechanical, and aerospace engineering disciplines.

Covers fundamental topics such as rudimentary topology and Banach's fixed point theorem with applications.

Provides detailed instruction on L^p-spaces, density theorems for testfunctions, and infinite dimensional spaces.

Includes essential studies on bounded linear operators, Fourier series, and open mapping theorems.

Explores advanced concepts like compact and differential operators along with Hilbert-Schmidt operators.

Discusses Volterra equations and closed graph theorems for practical mathematical application.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
29 September 1999
Listed Since
05 February 2007

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