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Convergence articles

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A small selection of Euler's works, explained by a master expositor.
Two MAA PREP Workshops in the History of Mathematics will be offered in June at the MAA Headquarters in Washington, DC.
A summary of the history of the problem of finding the region of greatest area bounded by a given perimeter. This essay was a winner of the HOM SIGMAA student essay contest in 2006.
Cantor's work on Fourier series provides historical motivation for the study of point-set topology.
A sourcebook of original materials in the history of mathematics from ancient times to the early twentieth century.
Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).
If an arc of 45 degrees on one circumference is equal to an arc of 60 degrees on another circle, what is the ratio of the areas of the circle?
Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
The purchase price for an apple and an orange is 100 yen. When n oranges and n + 3 apples are bought the price is 520 yen. Find the number n of oranges and the price of one orange.
The sum of two numbers is 10 and their product is 40. What are the numbers?

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