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Convergence articles

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Historical Connections in Mathematics

Brief biographies of mathematicians with mathematical activities based on their work.

A Family Problem

A man, woman, and two boys desire to cross a river, but their boat has weight restrictions!

Gerbert d'Aurillac and the March of Spain: A Convergence of Cultures

The story of Gerbert, who became Pope Sylvester II in 999, and his mathematics.

Appendix
Information on previous ESUs
The Mayan and Other Ancient Calendars

A detailed study of the cycles of the Mayan calendar, along with some other ancient calendars.

Math and the Mona Lisa
The authors makes the case for Leonardo da Vinci as the first modern scientist, as he discussed Leonardo's mathematics and science.
The Square and the Cube

A number is required; that the square shall be equal to twice the cube.

Van Schooten's Ruler Constructions

A translation of and commentary on Frans van Schooten's work on constructions using only a straightedge. Van Schooten's postulates for use of the straightedge, however, allow the copying of one line segment onto another.

Heron's Formula

Heron of Alexandria (c. 10 - 75 CE) wrote on many aspects of applied mathematics.

Triangular Numbers

What is the sum of the reciprocals of the triangular numbers?

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