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Matematikens utveckling i Sverige fram till 1731
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2002 (Swedish)Doctoral thesis, comprehensive summary (Other academic)Alternative title
The Development of Mathematics in Sweden until 1731 (English)
Abstract [en]

This thesis contains two parts:

In the first papers I consider the development of mathematics up till around 1720. I have done a special study of the period between 1710 and 1720, when you could find three Swedes writing about contemporary mathematics, Christopher Polhem, Emanuel Swedenborg and Anders Gabriel Duhre. Especially Duhre has been of interest in his writings about series.

The second part of the thesis deals with the first Swedish internationally well-known mathematician Samuel Klingenstierna. The study of his life and mathematics finishes with his arrival back to Sweden after his long travel to the centers of science in Europe. There are lots of new facts added to his biography during that period. Klingenstierna was involved in the actual mathematical discussions between Johann and Nicholaus Bernoulli, Fontenelle, Clairaut, Cramer and Stirling. I present the contents of some of Klingenstierna's manuscripts, which he wrote in Basel, Paris and London, for instance a problem of calculus of variation, a formula of the circumference of an ellipse and a formula to get a good approximation for the number π.

Place, publisher, year, edition, pages
Uppsala: Matematiska institutionen , 2002. , 183 p.
Series
Uppsala Dissertations in Mathematics, ISSN 1401-2049 ; 24
Keyword [en]
Mathematics
Keyword [sv]
MATEMATIK, Swedenborg, Polhem, Duhre, Klingenstierna, svensk matematikhistoria, serier, oändligt lilla, infinitesimal, oändlighet, kalkyl, Bernoulli, professor, Uppsala, differential
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-2141ISBN: 91-506-1603-X (print)OAI: oai:DiVA.org:uu-2141DiVA: diva2:161784
Public defence
2002-06-03, Polacksbacken hus 2 sal 247, Uppsala, 13:15
Opponent
Available from: 2002-05-23 Created: 2002-05-23 Last updated: 2012-07-26Bibliographically approved
List of papers
1. Matematikens utveckling i Sverige fram till början av 1700-talet med speciell granskning av hur det oändligt stora och det oändligt lilla uppfattades
Open this publication in new window or tab >>Matematikens utveckling i Sverige fram till början av 1700-talet med speciell granskning av hur det oändligt stora och det oändligt lilla uppfattades
(Swedish)Manuscript (Other academic)
National Category
Mathematics
Identifiers
urn:nbn:se:uu:diva-89918 (URN)
Available from: 2002-05-23 Created: 2002-05-23 Last updated: 2012-07-26Bibliographically approved
2. Samuel Klingenstierna - ett studium av hans liv och matematik fram till 1731
Open this publication in new window or tab >>Samuel Klingenstierna - ett studium av hans liv och matematik fram till 1731
(Swedish)Manuscript (Other academic)
National Category
Mathematics History
Identifiers
urn:nbn:se:uu:diva-89919 (URN)
Available from: 2002-05-23 Created: 2002-05-23 Last updated: 2012-07-26Bibliographically approved

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