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
DOI:
https://doi.org/10.1090/S0273-0979-07-01174-3
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.
- 1. Carl B. Boyer, A history of mathematics, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0234791
- 2. William Dunham, The calculus gallery, Princeton University Press, Princeton, NJ, 2005. Masterpieces from Newton to Lebesgue. MR 2112402
- 3. Euler, Foundations of differential calculus, Springer-Verlag, New York, 2000. Translated from the Latin by John D. Blanton. MR 1753095
- 4. Leonhard Euler, Introduction to analysis of the infinite. Book I, Springer-Verlag, New York, 1988. Translated from the Latin and with an introduction by John D. Blanton. MR 961255
- 5. Morris Kline, Mathematical thought from ancient to modern times, Oxford University Press, New York, 1972. MR 0472307
- 6. Dirk J. Struik, A concise history of mathematics, 4th ed., Dover Publications, Inc., New York, 1987. MR 919604
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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:
https://doi.org/10.1090/S0273-0979-07-01174-3
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.