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 remarkab...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1987, 1987
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| Edition: | 1st ed. 1987 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of 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