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Convergence articles

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A Plague of Ratios

The story of Nicolaus Mercator, music, and logarithms.

Under Siege

One hundred men besieged in a castle, have sufficient food to allow each one bread to the weight of 14 lot a day for ten months.

Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection
Page 10: Courant through D'Ambrosio
From Calculus to Computers

A collection of articles on using the history of mathematics of the past 200 years in the undergraduate classroom.

Jodanus de Nemore's Arithmetica
This is a page from an early printed edition of the Arithmetica of Jordanus de Nemore (early 13th century).
Archimedes: What Did He Do Besides Cry Eureka?

Archimedes' work, The Method, explained, along with many other important ideas of the great Greek geometer.

Perimeters of Similar Triangles

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

Benjamin Banneker's Trigonometry Puzzle

Benjamin Banneker solved some trigonometry problems in his extant notebooks. One of them is discussed here. The authors have also discovered the probable source of Banneker's trigonometry table.

Alphabet Challenge

In how many ways can a vowel and a consonant be chosen out of the word "logarithms?"

The Sagacity of Circles: A History of the Isoperimetric Problem

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.

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