Skip to main content

Divergent series and asymptotic expansions, 1850-1900

Resource type
Thesis type
(Thesis) Ph.D.
Date created
2023-12-11
Authors/Contributors
Abstract
Divergent series enjoyed a period of free and easy use in the eighteenth century. This was somewhat curtailed in the early nineteenth century even though interesting applied problems were solved using asymptotic expansions of divergent series during that time. In the second half of the nineteenth century asymptotic expansions were placed on a firm and rigorous foundation such that their use become standard practice by early in the twentieth century. I elucidate how and why that happened by examining the work on asymptotic expansions of George Gabriel Stokes, Jules Henri Poincaré and Thomas Jan Stieltjes.
Document
Extent
183 pages.
Identifier
etd22810
Copyright statement
Copyright is held by the author(s).
Permissions
This thesis may be printed or downloaded for non-commercial research and scholarly purposes.
Supervisor or Senior Supervisor
Thesis advisor: Archibald, Tom
Language
English
Member of collection
Download file Size
etd22810.pdf 4.05 MB

Views & downloads - as of June 2023

Views: 10
Downloads: 0