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A cultural history of the infinite, from ancient to modern times, in which the author clarifies the conceptual underpinnings of this vast topic.

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

Page 14: Erdos to Foias

Golden Spheres

A California miner has a spherical ball of gold, 2 inches in diameter, which he wants to exchange for spherical balls 1 inch in diameter. How many of the smaller spheres should he receive?

Niccolo Tartaglia's Nova Scientia

This is the title page of the Nova Scientia (1537) of Niccolo Tartaglia (1499-1557). In this work, Tartaglia discussed the mathematics of artillery and developed methods for determining the range of a cannon.

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.

Awakening of Geometrical Thought in Early Culture

How does geometry begin? This work explores the origins of geometry in the work of artisans.

Radii of Three Circles

Determine the radii of three equal circles described within and tangent to a given circle, and also tangent to each other.