304 pages; Volume 22 of the "Mathematical Concepts and Methods in Science and Engineering Series". This unique monograph extensively treats engineering problems from the point of view of functional analysis.; Cloth hardcover with light shelf wear. Dustjacket is rubbed and discoloured with some nicks along the edges. Book is solid and clean inside, without any markings. Good condition. Size: 8vo.

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Detalles bibliogr�ficos

T�tulo

Applications of Functional Analysis in Engineering.

Editor

Plenum Press, New York

Fecha de publicaci�n

1981

ISBN 10

0306406934

ISBN 13

9780306406935

Encuadernaci�n

Hard Cover

Estado

Good

Estado de la sobrecubierta

Good

Tipo de libro

Livre

Cat�logos de vendedores

Math�matiques / Mathematics

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Sinopsis

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.

Rese�a del editor

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.

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