From Pythagoreans and Weierstrassians to true infinitesimal calculus

Autor:	Katz, Mikhail G., Polev, Luie
Rok vydání:	2017
Předmět:	Mathematics - History and Overview Mathematics - Classical Analysis and ODEs Mathematics - Logic 26E35
Zdroj:	Journal of Humanistic Mathematics 7 (2017), no. 1, 87-104
Druh dokumentu:	Working Paper
DOI:	10.5642/jhummath.201701.07
Popis:	In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting "the definition" to the students as a monolithic absolute. We hope that this could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon, delta ones. Comment: 15 pages, to appear in Humanistic Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.05187 Zobrazit plný text záznamu View this record from Arxiv