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Yearning for the Impossible: The Surprising Truths of Mathematics

This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress.

Look Out Below!

Suppose a ladder 60 feet long is placed in a street so as to reach a window 37 feet above the ground on one side of the street...

Harvest Time

A man plants 4 kernels of corn, which at harvest produce 32 kernels: these he plants the second year; now, supposing the annual increase to continue 8 fold, what would be the produce of the 15th year, allowing 1000 kernels to a pint?

Discovering the Beauty of Science

A math history class visits the 'Beautiful Science' exhibit at the Huntington Library in Southern California.

A Perfect Cone Sugarloaf

Three persons bought a sugar loaf in the form of a perfect cone 25 inches high and agreed to divide it...what was the slant height of each one's share?

Maxes and Mins

Determine the different values of x, when a certain function hits a minimum.

The Art of the Infinite

This book is a collection of mathematical ideas organized around the themes of infinity and the illumination of the nature of mathematical thought.

Historical Activities for the Calculus Classroom

Curve sketching, tangent lines, and optimization, explored via interactive applets

Math Forum website

A description of this well-regarded website.

Inscribed Square

Knowing the base, b, and the altitude, a, of a triangle, find the expression for a side of the inscribed square.