Peter D. Miller has written:

'Applied asymptotic analysis' -- subject(s): Asymptotic theory, Differential equations, Integral equations, Approximation theory, Asymptotic expansions

30

Edward Thomas Copson has written:

'Asymptotic expansions' -- subject(s): Asymptotic expansions

In mathematics, an asymptotic analysis is a method of describing limiting behaviour. The methodology has applications across science such as the analysis of algorithms.

A curve may be both asymptotic and a line of curvature, in which case the curve is a line (such as the rulings of a ruled surface).