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The annual meeting of the NCTM contains numerous sessions dealing with the history of mathematics.

A carpenter has undertaken to build a house in 20 days. He takes on another man and says; "If we build the house together, we can accomplish the work in 8 days!" How long would it take this other man to build the house working alone?

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...