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Convergence articles

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The authors provide an analysis and English translation of the argument by a little known French mathematician that calculus should be based on series rather than on infinitesimals.

Chuquet claimed that if given positive numbers a, b, c, d then (a + b) / (c + d) lies between a/c and b/d. Is he correct? Prove your answer
Given a guest on horseback rides 300 li in a day. The guest leaves his clothes behind. The host discovers them after 1/3 day, and he starts out with the clothes.
Two men brought their fish through customs. Find how much the fish cost, and what is the customs fee.
This resource consists of a series of 61 worksheets, each focused on a particular problem and related to a particular historical mathematical personality.
This conference takes place in 2006 at Pennsylvania State University, Erie.
Of a collection of mango fruits, the king took 1/6; the queen 1/5 the remainder, and the three princes took 1/4, 1/3 and 1/2 (of the same remainder); and the youngest child took the remaining 3 mangoes.
An English translation of Eratosthenes' Geography, which includes "On the Measurement of the Earth."
Simpson's methods for finding maxima and minima are explored by using examples from his "Doctrine and Application of Fluxions." Many of his techniques could be used in today's classroom.
Photo of Plimpton 322, an old Babylonian Tablet, from the Plimpton Collection at the Columbia University Library. Part of the Mathematical Treasures section of Loci: Convergence.

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