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
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spelling ndltd-csusb.edu-oai-scholarworks.lib.csusb.edu-etd-project-36082019-10-23T03:33:08Z The use of divergent series in history Birca, Alina 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. 2004-01-01T08:00:00Z text application/pdf https://scholarworks.lib.csusb.edu/etd-project/2591 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3608&context=etd-project Theses Digitization Project CSUSB ScholarWorks Leonhard Euler James Stirling Henri Poincaré Asymptotic expansion Divergent series Linear Differential equations Infinite Series Mathematics
collection NDLTD
format Others
sources NDLTD
topic Leonhard Euler
James Stirling
Henri Poincaré
Asymptotic expansion
Divergent series
Linear Differential equations
Infinite Series
Mathematics
spellingShingle Leonhard Euler
James Stirling
Henri Poincaré
Asymptotic expansion
Divergent series
Linear Differential equations
Infinite Series
Mathematics
Birca, Alina
The use of divergent series in history
description 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.
author Birca, Alina
author_facet Birca, Alina
author_sort Birca, Alina
title The use of divergent series in history
title_short The use of divergent series in history
title_full The use of divergent series in history
title_fullStr The use of divergent series in history
title_full_unstemmed The use of divergent series in history
title_sort use of divergent series in history
publisher CSUSB ScholarWorks
publishDate 2004
url https://scholarworks.lib.csusb.edu/etd-project/2591
https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=3608&context=etd-project
work_keys_str_mv AT bircaalina theuseofdivergentseriesinhistory
AT bircaalina useofdivergentseriesinhistory
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