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Cogwheels of the Mind: The Story of Venn Diagrams

An introduction to the work of Venn as well as the work of the author in extending some of Venn's results.

The expression 0^0 is usually called an indeterminate form. This article details the history of the meaning of this expression and concludes that, in some cases, we should evaluate it as 1.

Height and Distance

An erect pole of 10 cubits has its base moved 6 cubits. Determine the new height and the distance the top of the pole is lowered.

Buying Wood

Three people buy timber together. One pays the merchant 5 coins, another 3 coins, and the last 2 coins.

A Clothes Call

A man went to a draper and bought a length of cloth 35 braccia long to make a suit of clothes.

The Joy of Pi

A highly recommended new book on the history and applications of pi.

HOM SIGMAA 2009 Award Winners

These are the winning entries from the annual History of Mathematics SIGMAA Student Paper Contest.

Apples and Oranges and Peaches

If 40 oranges are worth 60 apples, and 75 apples are worth 7 dozen peaches, and 100 peaches are worth 1 box of grapes and three boxes of grapes are worth 40 pounds of pecans, how many pounds of pecans can be bought for 100 oranges?

A History of Abstract Algebra

A history of the various algebraic structures that came together to give us "abstract algebra" by early in the twentieth century.

Circumscribed Circle

The radius of a circle is 3.20 meters. Compute to within .001 square meters the areas of the inscribed and circumscribed equilateral triangles.