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A Disquisition on the Square Root of Three

The author compares Greek ladder, continued fraction, and Newton's Method approximations, noting that the Greek ladder easily gives both of Archimedes' famous bounds.

The Length of a String

Two circles, the sum of whose radii is a, are placed in the same plane with their centers at a distance 2a...

Four Circles in a Square

In a given square, inscribe 4 equal circles so that...

Tools of American Mathematics Teaching, 1800-2000

A survey of the use of technology in American mathematics teaching over the past 200 years.

Multiplying Like Rabbits

Assume that the human population after the flood was 6 and that 200 years later the population was 1,000,000. Find the annual rate of growth of the population.

Lunchtime at the Fish Pond

A fish sees a heron looking at him from across a pool, so he quickly swims towards the south. When he reaches the south side of the pool, he has the unwelcome surprise of meeting the heron.

The Honors Class

This work discusses the people who solved some of Hilbert's problems from 1900, as well as the mathematics involved in the solutions.

Japanese right triangle

There is a right triangle where: the sum of the upright multiplied by itself twice and the hypotenuse multiplied by itself is 700 units; and, the sum of the base multiplied by itself twice and the hypotenuse multiplied by itself is 900 units.

Who's That Mathematician? Images from the Paul R. Halmos Photograph Collection

Paul Halmos Photograph Collection, page 2: Arveson, Aschbacher, Askey, Lininger, Atiyah, Doob

The Mystery of Numbers

A journey through numbers from their earliest beginning in India to the proof of Fermat's Last Theorem by Wiles.