Abstract
The majority of real life phenomena are described mathematically by a certain collection of numerical parameters having rather complicated interrelations. However, as a rule, the description of these phenomena becomes significantly simpler when we known that some of these parameters, or some combination of them, is very large or, on the contrary, very small.
The current chapter gives an initial idea of asymptotic methods of analysis. It shows how to elaborate the so-called asymptotic series or asymptotic expansions in such small (large) parameters, and how to find and use the principal terms of such expansions.
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Notes
- 1.
It is also useful to keep in mind the symbol ≃ often used to denote asymptotic equivalence.
- 2.
A. Erdélyi (1908–1977) – Hungarian/British mathematician.
- 3.
G.H. Watson (1886–1965) – British mathematician.
- 4.
See also Problem 10 of Sect. 7.3.
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Zorich, V.A. (2016). Asymptotic Expansions. In: Mathematical Analysis II. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48993-2_11
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DOI: https://doi.org/10.1007/978-3-662-48993-2_11
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