Applications of Functional Analysis in Engineering.

NOWINSKI, J. L.

ISBN 10: 0306406934 / ISBN 13: 9780306406935

Published by Plenum Press, New York, 1981

About this Item

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. Seller Inventory # 009626

Bibliographic Details

Title: Applications of Functional Analysis in ...

Publisher: Plenum Press, New York

Publication Date: 1981

Binding: Hard Cover

Condition: Good

Dust Jacket Condition: Good

Book Type: Livre

About this title

Synopsis:

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."