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Convergence articles

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Mathematical Evolutions

A collection of articles from the American Mathematical Monthly by experts on the evolution of various fields of mathematics.

Bicyclists on a Track

Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider

Celebrating Women in Mathematics and Science
This unique and beautiful book features the biographies of twenty-two notable female mathematicians and scientists, showing how their determination, creativity, and intellectual passion helped them excel in their fields.
The Rat Race

Now there is a wall 5 feet thick and two rats tunnel from opposite sides.

The Quadrature of the Circle and Hippocrates' Lunes
A study of some elements of Greek geometry, as part of a course for liberal arts undergraduates on basic concepts of the calculus.
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?

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