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Convergence articles

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Review of Mathematics Emerging: A Sourcebook 1540-1900

Our reviewer praises the selection of excerpts, the use of facsimiles rather than transcriptions, and the commentary and English translation in this collection.

Completing the Square

Explain the geometric basis of "completing the square," the original method of solving quadratic equations, to your students.

Boethius's Arithmatic
The Arithmetic of Boethius (480-524) dates from the early sixth century. This page is from a mansucript (Plimpton MS 165) that dates from approximately 1294, written on vellum.
Great Ideas of Mathematics
A set of four posters dealing with the Pythagorean Theorem, infinity, prime numbers, and the history of pi.
Still More Numbers

Find two numbers, x and y, such that their sum is 10 and x/y + y/x = 25

A History of Mathematics Education
A reprint of the 32nd yearbook of the NCTM, dealing with developments in mathematics education in the U.S. and Canada. In particular, it gives a history of the various reform movements up to the publication date of 1980.
A Round Town

There is a round town 8000 feet in circumference.

From Zero to Infinity
A new edition of a classic work on number theory.
Mathematical Treasure: Edward Cocker's Arithmetick
The most popular and authoritative arithmetic book in late 17th and 18th century England, it stayed in print for 100 years.
Eratosthenes and the Mystery of the Stades

In this article which won the 2005 prize of HOMSIGMAA, the author discusses Eratosthenes' argument to determine the size of the earth as well as possibilities for the size which Eratosthenes found (in modern measures).

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