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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Euler's definition of the derivative


Author: Harold M. Edwards
Journal: Bull. Amer. Math. Soc. 44 (2007), 575-580
MSC (2000): Primary 01A50; Secondary 01-01, 03-03
Published electronically: June 8, 2007
MathSciNet review: 2338366
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Abstract | References | Similar Articles | Additional Information

Abstract: Euler's method of defining the derivative of a function is not a failed effort to describe a limit. Rather, it calls for rewriting the difference quotient in a way that remains meaningful when the denominator is zero.


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Additional Information

Harold M. Edwards
Affiliation: Department of Mathematics, New York University, 251 Mercer Street, New York, New York 10012

DOI: http://dx.doi.org/10.1090/S0273-0979-07-01174-3
PII: S 0273-0979(07)01174-3
Keywords: Elliptic curves, elliptic functions, Riemann surfaces of genus one
Received by editor(s): January 26, 2007
Published electronically: June 8, 2007
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.