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Convergence articles

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Square

The square of a certain number multiplied by itself and by 200 is 446,976. What is the number?

A Locally Compact REU in the History of Mathematics: Involving Undergraduates in Research

A description of a Research Experience for Undergraduates conducted in 2007 at Hood College.

Abel's Proof

A discussion of the meaning of mathematical unsolvability in the context of the history of Abel's proof of the unsolvability of the quintic equation in terms of radicals.

The Square and the Cube

A number is required; that the square shall be equal to twice the cube.

Van Schooten's Ruler Constructions

A translation of and commentary on Frans van Schooten's work on constructions using only a straightedge. Van Schooten's postulates for use of the straightedge, however, allow the copying of one line segment onto another.

Heron's Formula

Heron of Alexandria (c. 10 - 75 CE) wrote on many aspects of applied mathematics.

Triangular Numbers

What is the sum of the reciprocals of the triangular numbers?

A Horse in London

A man hired a horse in London at 3 pence a mile. He rode 94 miles due west to Bristol then due north to Chester, whence he returned toward London for 66 miles, which put him in Coventry.

Pythagoras' Revenge

A novel about Pythagoras and his followers

Apes in a Forest

In a forest, a number of apes equal in number to the square of 1/8 of the total number of apes are noisy. The remaining 12 apes are on a nearby hill irritated. What is the total number of apes in the pack?

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