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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.

Loafing About

There were two men, of whom the first had 3 small loaves of bread and the other, 2.

Limit Points and Connected Sets in the Plane

A study of Mullikan's Nautilus, using movies to illustrate the important ideas