Whether Achilles Could Catch Up the Turtle

Authors

  • Zhantao Yang The Gilbert School

DOI:

https://doi.org/10.30564/ret.v1i3.72

Abstract

Can a person chase up a turtle? This might sound like a very stupid question. However, this question had been disturbing mathematicians for many centuries. It is possible to solve the paradox of Achilles and the turtle with only high school knowledge.This is the beauty of calculus, the concept that mathematicians struggled to invent and improve. In more than 2000 years, mathematicians tried different ways to study and invent calculus, and the invention fnally led to a revolution in the world of math.

Keywords:

Achilles Paradox; Calculus; History; Newton; Leibniz; Limit; Riemann Sum

References

[1] Stancu D D. Rev Rournaine Math Pures Appl,1968,13:1173-1194.

[2] Stancu D D. In: Proc Cont Constr Theory Funct, Budapest, 1972:443-455.

[3] Kelisky R P,Rivlin T J. Pacifc J of Math 1967,21(3):511-521.

[4] S Karlin,H M Taylor. A First Course in Stochastic Processes.Second Edition,A Cadmic Press,1975:190-191.

[5] Ding Chuan-Song,Lee Pengyee. On Absotutely Henstok in Tegrable Function. Real Analysis Exchang,1987,12(2):39-45.

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Issue

Vol. 1 , Iss. 3 (July 2018)

Article Type

Review Article

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