Applications of Functional Analysis in Engineering

Applications of Functional Analysis in Engineering
Author: J. Nowinski
Publisher: Springer Science & Business Media
Total Pages: 309
Release: 2013-03-09
Genre: Science
ISBN: 146843926X


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Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik"= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces.


Applications of Functional Analysis in Engineering
Language: en
Pages: 309
Authors: J. Nowinski
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, alge
Applications of Functional Analysis in Engineering
Language: en
Pages: 324
Authors: J. Nowinski
Categories:
Type: BOOK - Published: 1981-05-01 - Publisher:

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Functional Analysis in Applied Mathematics and Engineering
Language: en
Pages: 312
Authors: Michael Pedersen
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: Routledge

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Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material th
Applications of Functional Analysis and Operator Theory
Language: en
Pages: 442
Authors: V. Hutson
Categories: Mathematics
Type: BOOK - Published: 2005-02-08 - Publisher: Elsevier

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Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection o
Introductory Functional Analysis with Applications
Language: en
Pages: 706
Authors: Erwin Kreyszig
Categories: Mathematics
Type: BOOK - Published: 1991-01-16 - Publisher: John Wiley & Sons

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KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respectiv