Infinitesimal Analysis (Mathematics and Its Applications, 544)

Gordon, E.I.; Kusraev, A.G.; Kutateladze, Sem�n Samsonovich

ISBN 10: 1402007388 ISBN 13: 9781402007385

Published by Springer, 2002

Language: English

Condition: Used - Fair Hardcover

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Boards clean & bright w/ light wear & sunning. Interior pages white & unmarked except book has light water damage throughout which is more prominent on the front and back pages, w/ stains & crinkling on top and side edges; most of book has wavy, slight crumpling on top margin edges, text unaffected, pages white. No DJ as issued. See photos, ships same day or next day.

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Bibliographic Details

Title

Infinitesimal Analysis (Mathematics and Its Applications, 544)

Publisher

Springer

Publication Date

2002

Language

English

ISBN 10

1402007388

ISBN 13

9781402007385

Binding

Hardcover

Condition

Fair

Dimensions

Weight

2 pounds

Seller catalogs

Math & Engineering & Science

About this title

Synopsis

Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics.

The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation.

This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0

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