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HOM SIGMAA 2009 Award Winners

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

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.

The Secret Life of Numbers

Short sketches on how mathematicians work and think.

A Successful Businessman

A certain merchant increases the value of his estate by 1/3...

Four Congruent Circles and an Inscribed Square

A set of four congruent circles whose centers form a square is inscribed in a right triangle ABC where C is the right angle and serves as one corner of the square. Find their radius in terms of the sides; a,b,c, of the triangle.

Extracting Square Roots Made Easy: A Little Known Medieval Method

A method for extracting square roots used in Italy through the 18th century was introduced in a manuscript by the 12th century mathematician al-Hassar.

Three Vertical Posts

Three vertical posts along a straight canal, each rising to the same height above the surface of the water. By using measurments of the posts, determine, to the nearest mile, the radius of the earth.

Pepper Importation

A merchant bought 50,000 pounds of pepper in Portugal for 10,000 scudi and paid a tax of 500 scudi.