SwePub - sökning: L773:2535 6984 OR L773:2535 69...

Numrering	Referens	Omslagsbild	Hitta
1.	Pejlare, Johanna, 1976 (författare) Infinite sums and the calculation of ?, as presented by the Swedish mathematician Anders Gabriel Duhre in the early 18th century 2019 Ingår i: Proceedings of the Eighth European Summer University on History and Epistemology in Mathematics Education ESU 8. - Oslo : Oslo Metropolitan University Storbyuniversitetet. - 2535-6984 .- 2535-6992. - 9788283642117 Konferensbidrag (refereegranskat)abstract Anders Gabriel Duhre, an important mathematician and mathematics educator in Sweden during the 18th century, contributed with two textbooks in mathematics, one in algebra and one in geometry. Among others, he treats infinitesimals based on Nieuwentijts’ theories from Analysis infinitorum and infinite sums based on Wallis’ method of induction from Arithmetica infinitorum. Based on these results, Duhre develops an ingenious method to determine the area enclosed by curves by constructing a corresponding curve. He applies his method to the circle in order to find an expression of ? as an infinite series. The series he finds is a modified version of the Gregory-Leibniz’ series. In the present paper we consider in detail Duhre’s presentation in order to further investigate the influence upon him as well as his influence on the Swedish mathematical society of his time.

Pejlare, Johanna, 1976 (författare)
Infinite sums and the calculation of ?, as presented by the Swedish mathematician Anders Gabriel Duhre in the early 18th century
2019
Ingår i: Proceedings of the Eighth European Summer University on History and Epistemology in Mathematics Education ESU 8. - Oslo : Oslo Metropolitan University Storbyuniversitetet. - 2535-6984 .- 2535-6992. - 9788283642117
Konferensbidrag (refereegranskat)abstract
- Anders Gabriel Duhre, an important mathematician and mathematics educator in Sweden during the 18th century, contributed with two textbooks in mathematics, one in algebra and one in geometry. Among others, he treats infinitesimals based on Nieuwentijts’ theories from Analysis infinitorum and infinite sums based on Wallis’ method of induction from Arithmetica infinitorum. Based on these results, Duhre develops an ingenious method to determine the area enclosed by curves by constructing a corresponding curve. He applies his method to the circle in order to find an expression of ? as an infinite series. The series he finds is a modified version of the Gregory-Leibniz’ series. In the present paper we consider in detail Duhre’s presentation in order to further investigate the influence upon him as well as his influence on the Swedish mathematical society of his time.

Träfflista för sökning "L773:2535 6984 OR L773:2535 6992 OR L773:9788283642117 "