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From Newton’s fluxions to virtual microscopes
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2007-12-01
https://doi.org/10.5485/TMCS.2007.0168
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Copyright (c) 2007 Jacques Bair and Valerie Henry
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Bair, J., & Henry, V. (2007). From Newton’s fluxions to virtual microscopes. Teaching Mathematics and Computer Science, 5(2), 377-384. https://doi.org/10.5485/TMCS.2007.0168
Abstract
The method of fluxions was originally given by Newton among others in order to determine the tangent to a curve. In this note, we will formulate this method by the light of some modern mathematical tools: using the concept of limit, but also with hyperreal numbers and their standard parts and with dual numbers; another way is the use of virtual microscopes both in the contexts of classical and non standard analysis.