An edition of Nonstandard asymptotic analysis (1987)

Nonstandard Asymptotic Analysis

Nonstandard Asymptotic Analysis
Imme van den Berg, Imme van de ...
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Last edited by ImportBot
February 26, 2022 | History
An edition of Nonstandard asymptotic analysis (1987)

Nonstandard Asymptotic Analysis

This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes topics of general interest, like the remarkable behaviour of Taylor polynomials of elementary functions. Noting that within nonstandard analysis, "small", "large", and "domain of validity of asymptotic behaviour" have a precise meaning, a nonstandard alternative to classical asymptotics is developed. Special emphasis is given to applications in numerical approximation by convergent and divergent expansions: in the latter case a clear asymptotic answer is given to the problem of optimal approximation, which is valid for a large class of functions including many special functions. The author's approach is didactical. The book opens with a large introductory chapter which can be read without much knowledge of nonstandard analysis. Here the main features of the theory are presented via concrete examples, with many numerical and graphic illustrations. N

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Language
English

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Previews available in: English

Edition Availability
Cover of: Nonstandard Asymptotic Analysis
Nonstandard Asymptotic Analysis
2006, Springer London, Limited
in English
Cover of: Nonstandard Asymptotic Analysis
Nonstandard Asymptotic Analysis
Apr 08, 1987, Springer
paperback
Cover of: Nonstandard asymptotic analysis
Nonstandard asymptotic analysis
1987, Springer-Verlag
in English

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Book Details


Classifications

Library of Congress
QA8.9-10.3

The Physical Object

Pagination
xii, 192

ID Numbers

Open Library
OL37148638M
ISBN 13
9783540478102

Source records

Better World Books record

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February 26, 2022 Created by ImportBot Imported from Better World Books record