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It's About Time

A great book from which to learn and teach the subject of relativity.

Euler's Gem: The Polyhedron Formula and the Birth of Topology

A sketch of the history of topology, beginning with the polyhedron formula, but continuing up to the present.

Circle, Square, and Triangle

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

A Dangerous Castle Indeed

A castle has n rooms each of which has 7 samurai in it.

Money Makes the World Go Around

You have two sums of money, the difference of which is 2 dirhems; you divide the smaller sum by the larger and the quotient is equal to 1/2. What are the two sums of money?

Arthur Cayley: Mathematician Laureate of the Victorian Age

A biography of Arthur Cayley, the outstanding mathematician of Victorian Britain.

A General Question

Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.

Age

My age is a number consisting of two digits, 1/7 of this number is a mean proportional between these two digits, and two years hence, my age will be a third proportional to the same two digits, directly as they stand in my present age.

The Geometry of Rene Descartes

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

Creatures with Four or Six Heads

Now there are six-headed four-legged animals and four-headed two-legged birds. Find the total number of animals and birds.