The Origin of the Method of Steepest Descent

The method of steepest descent, also known as the saddle-point method, is a natural development of Laplace's method applied to the asymptotic estimate of integrals of analytic functions. Mathematicians have often attributed the method of steepest descent to the physicist Peter Debye, who in 190...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Historia mathematica 1997-11, Vol.24 (4), p.361-375
Hauptverfasser:	Petrova, Svetlana S., Solov'ev, Alexander D.
Format:	Artikel
Sprache:	eng
Schlagworte:	asymptotic expansions Bessel functions estimate of integrals of analytic functions Langrange series Laplace's method method of steepest descent saddle-point
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!