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What Are Asymptotic Methods?

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Asymptotology

Part of the book series: Mathematics and Its Applications ((MAIA,volume 551))

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Abstract

If in an asymptotic method the sense of the word “symmetry” is some form of “commensurabihty”, then the construction of an asymptotics often becomes a search for sharp, clearly marked noncommensurabilities (large-small, long-short, slow-fast, and so on)1

There are as many problems,

as there are perturbation methods.

—Physicist’ folklore

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© 2002 Springer Science+Business Media Dordrecht

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Andrianov, I.V., Manevitch, L.I., Hazewinkel, M. (2002). What Are Asymptotic Methods?. In: Asymptotology. Mathematics and Its Applications, vol 551. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9162-1_2

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  • DOI: https://doi.org/10.1007/978-1-4419-9162-1_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4816-0

  • Online ISBN: 978-1-4419-9162-1

  • eBook Packages: Springer Book Archive

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