E I Gordon

(Author)

Infinitesimal Analysis (2002)Hardcover - 2002, 30 June 2002

Infinitesimal Analysis (2002)
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Part of Series
Mathematics and Its Applications
Print Length
422 pages
Language
English
Publisher
Springer
Date Published
30 Jun 2002
ISBN-10
1402007388
ISBN-13
9781402007385

Description

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

Product Details

Authors:
E I GordonA G KusraevSemën Samsonovich Kutateladze
Book Edition:
2002
Book Format:
Hardcover
Country of Origin:
US
Date Published:
30 June 2002
Dimensions:
25.78 x 17.53 x 3.18 cm
ISBN-10:
1402007388
ISBN-13:
9781402007385
Language:
English
Location:
Dordrecht
Pages:
422
Publisher:
Weight:
907.18 gm

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