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Convergence articles

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A history of attempts to develop formulas expressing the sums of powers of the first n positive integers from the Pythagoreans to Jakob Bernoulli. With exercises.
The sum of the two digits of a 2-digit number is 9. If 45 is subtracted from the number, the result will be expressed by the digits in reverse order. Find the number.
There are two piles, one containing 9 gold coins, the other 11 silver coins.
In a right triangle, the hypotenuse is 9.434 and the sum of the sides around the right angle is 13. Find the lengths of the sides around the right angle.
The paperback reprint of this large collection of articles by experts on all aspects of the history and philosophy of mathematics.
Posters illustrating mathematics concepts in such places as China, Japan, India, and the Americas.

Images from Frans van Schooten's 1659 edition of The Geometry of Rene Descartes

A number is required; that the square shall be equal to twice the cube.
The author became fascinated with the mysterious role of √-1 in electronics. Turning to history for insight, he brings the perspectives of both a practical man and a scholar in conveying the enchantment of mathematics for a non-mathematician.
Determine the greatest cylinder that can be inscribed in a given cone.

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