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Convergence articles

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The Mathematics of Egypt, Mesopotamia, China, India and Islam

A new collection of original source materials in the mathematics of five civilizations.

Student Reports: A Rewarding Undertaking

Some ideas on using student reports when you teach a course in the history of mathematics

On the Run

A certain slave fled from Milan to Naples going 1/10 of the whole journey each day. At the beginning of the third day, his master sent a slave after him and this slave went 1/7 of the whole journey each day.

Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection
Page 11: Dantzig to Dieudonne
Thomas Simpson and Maxima and Minima

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.

Galileo's Geometrical Compass
This is the title page of the 1640 printing of Galileo's Operation of the Geometrical and Military Compass, originally published privately in 1606. Galileo had invented a version of this geometrical compass a few years earlier and evidently gave copies of this manual to those who bought the compass. The compass had many uses, from performing square root calculations to determining ranges of cannons to solving surveying problems.
Geometry Civilized: History, Culture, & Technique
This a wonderfully written tour of aspects of classical geometry-- a must read for all geometry teachers.
Perimeters of Similar Triangles II

The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

Perimeters of Similar Triangles III

The perimeters of two similar triangles are 45 and 135 respectively. One side of the first triangle has length 11″ and a second side, 19″. Find the lengths of the sides of the second triangle.

Math through the Ages
Where does pi come from? Why should we be interested in negative numbers, or square roots of negative numbers? How did people ever figure out the quadratic formula? A truly wonderful reference for teachers at all levels.

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