# Convergence articles

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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.

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...

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?

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

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?

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

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

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

A description of this well-regarded website.

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