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arXiv · 1701.05187

From Pythagoreans and Weierstrassians to true infinitesimal calculus

Mikhail G. Katz·Luie Polev
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Abstract

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.

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Mikhail G. Katz, Luie Polev. 2017-01-18. From Pythagoreans and Weierstrassians to true infinitesimal calculus. https://doi.org/10.5642/jhummath.201701.07

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