Bhaskara's Arithmetic Operation of Division by Zero with Application in the Foundation of the Differential Calculus

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Authors

  • Okoh Ufuoma
     Department of Mathematics, Apex Academy,Uwheru, Delta State, Nigeria ,NG

DOI:

https://doi.org/10.18311/jims/2017/15455

Keywords:

Zero, Infinity, Bhaskara, Division by Zero, Law of Impending Operations, Differential Calculus

Abstract

This article is concerned mainly with Bhaskara's arithmetic operation of division by zero. This is the simplest of all for teaching analysis and is the most consistent and philosophical. Some mathematicians have attempted to impugn it, but when I examined their reasonings, I observed that they have done so because they have failed to comprehend the true behavior of zero. In this article I have aimed to clarify and justify Bhaskara's law of impending operations involving zero and furnish hints at the foundations upon which the arithmetic operation of division by zero rests its claims to be preferred to its fashionable rivals, the methods of infinitesimals and limits.

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Published

2017-07-01

How to Cite

Ufuoma, O. (2017). Bhaskara’s Arithmetic Operation of Division by Zero with Application in the Foundation of the Differential Calculus. The Journal of the Indian Mathematical Society, 84(3-4), 297–323. https://doi.org/10.18311/jims/2017/15455

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 Okoh Ufuoma

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-02-09
Accepted 2017-02-20
Published 2017-07-01

 

References

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