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reference request – Resources for divergent / asymptotic succession
This succession is divergent; subsequently, we might breathe in a position to do one thing with it. — Oliver Heaviside[Edit (1/14/21) from the answer by Count Iblis to a recent MO-Q on math vids: An enthusiastic intro is that to the set of lectures by Carl Bender “Perturbation and Asymptotic Series.” ]
Other than the habitual references given in Wikipedia and Mathworld, which sources have you ever create valid as intros to the theme and for superior exploration?
I’ll prime the pump with
“Divergent series:taming the tails” by M. V. Berry and C. J. Howls (cf. too refs on this MO-Q)
Sporadic examples in Heaviside’s publications, behold Heaviside’s Operational Calculus, a publish by Ron Doerfler.
A Singular Mathematical Promenade by Etienne Guys
Sum Divergent Series by the consumer mnoonan, a succession of posts at The Everything Seminar
Euler’s labor and fashionable developments” by Jeffrey Lagarias
“Uniform asymptotic methods for integrals” by Nico Temme
As one instance of such succession’ consequence behold the relation between the Harer-Zagier components and the asymptotic growth of the digamma duty within the passage notes “27. MATHEMATICAL IDEAS AND NOTIONS OF QUANTUM FIELD THEORY:
5. The Euler attribute of the moduli house of curves.”
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