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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.

The Greate Invention of Algebra

Jacqueline Stedall has uncovered the numerous algebraic ideas of Thomas Harriot from the early 17th century and has organized them into a readable treatise.

Pacioli's Summa
This is the title page of the Summa de arithmetica, geometrica, proportioni et proportionalita, published by Luca Pacioli in 1494. This was the most comprehensive mathematical text of the time and one of the earliest printed mathematical works. It contained not only practical arithmetic, but also algebra, practical geometry and the first published treatment of double-entry bookkeeping.
A History of Analysis
A superb collection of articles by experts on various areas of the history of analysis, from the Greeks to modern times.
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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