The use of divergent series in history

The use of divergent series in history

In this thesis the author presents a history of non-convergent series which, in the past, played an important role in mathematics. Euler's formula, Stirling's series and Poincare's theory are examined to show the development of asymptotic series, a subdivision of divergent series.

Bibliographic Details
Main Author: Birca, Alina
Format: Others
Published: CSUSB ScholarWorks 2004
Subjects:
Leonhard Euler
James Stirling
Henri Poincaré
Asymptotic expansion
Divergent series
Linear Differential equations
Infinite Series
Mathematics
Online Access:https://scholarworks.lib.csusb.edu/etd-project/2591
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3608&context=etd-project
Description
Summary:In this thesis the author presents a history of non-convergent series which, in the past, played an important role in mathematics. Euler's formula, Stirling's series and Poincare's theory are examined to show the development of asymptotic series, a subdivision of divergent series.

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