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Convergence articles

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Suppose that for every 4 cows a farmer has, he should plow 1 acre of land, and allow 1 acre of pasture for every 3 cows; how many cows could he keep on 140 acres?

Howard Eves' sixth edition is still worth considering for a textbook.

Having been given the sum of two numbers, a, and the difference of their squares, b, find the numbers.

A boy gives 11 coins of equal denomination to a man, and the man finds that their total value in yen is 4 less than his age.

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.

A translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315

Prove Chuquet's rule of average numbers.

Given a number, take 1/3 of the number away from itself and also remove 2. If this result is multiplied by itself, it equals the number plus 24. What is the number?

The beginnings of land measurement in the early United States and how this affected American democracy.

Given four numbers whose sum is 9900; the second exceeds the first by 1/7 of the first...

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