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Nonstandard asymptotic analysis

Author: Imme van den Berg
Publisher: Berlin ; New York : Springer-Verlag, ©1987.
Series: Lecture notes in mathematics (Springer-Verlag), 1249.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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.

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Additional Physical Format: Online version:
Berg, Imme van den.
Nonstandard asymptotic analysis.
Berlin ; New York : Springer-Verlag, ©1987
(OCoLC)622359473
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Imme van den Berg
ISBN: 0387177671 9780387177670 3540177671 9783540177678
OCLC Number: 15489897
Description: ix, 187 pages : illustrations ; 25 cm.
Contents: Four examples of nonstandard reasoning in asymptotics.- Asymptotic expressions for the remainders associated to expansions of type , where cn+p/cn ? c.- Asymptotic expressions for the remainders associated to expansions of type : Critical regions, uniform behaviour.- External sets.- Approximation lemma's.- Shadow expansions.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1249.
Responsibility: Imme van den Berg.
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