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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.

Georg Cantor at the Dawn of Point-Set Topology

Cantor's work on Fourier series provides historical motivation for the study of point-set topology.

Classics of Mathematics

A sourcebook of original materials in the history of mathematics from ancient times to the early twentieth century.

The Grounde of Artes by Robert Recorde

Page from the table of contents of Robert Recorde's The Grounde of Artes (1543) in which is outlined the first dialogue. This dialogue deals with some of the elements of arithmetic, including the basic operations and the use of the rule of three (or the Golden rule).

Circle, Square, and Triangle

A circle, a square and an equilateral triangle all have the same perimeter equal to 1 meter. Compare their areas.

Reverse the Digits

The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.

Division Problem

The number 50 is divided by a certain number. If the divisor is increased by 3, the quotient decreases by 3.75. What is the number?

Square in the Circle

There is a circle from within which a square is cut, the remaining portion having an area of 47.6255 square units.

The Recruiting Officers

Two officers each have a company of men, the one has 40 less than the other.

Mathematical Treasure: Isaac Greenwood's Arithmetick

Image of first arithmetic book published in the English colonies in what is now the Eastern United States