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Convergence articles

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An argument that the teaching of elementary integration should better reflect its historical development
A certain merchant increases the value of his estate by 1/3...
There are two numbers which are to each other as 5 and 6 and the sum of their squares is 2196. What are the numbers?
Title page of Jacob Bernoulli's Ars Conjectandi (The Art of Conjecturing), published posthumously in 1713 by his nephew Nicolaus I Bernoulli. The Ars Conjectandi is famous for Bernoulli's statement of a general rule for summing integral powers as well as for the first statement and proof of the Law of Large Numbers.
A set of n disjoint, congruent circles packs the surface of a sphere S so that each region of the surface exterior to the circles is bounded by arcs of three of the circles.
Short sketches on how mathematicians work and think.
Given two circle tangent at the point P with parallel diameters AB, CD, prove that APD and BPC are straight lines.
A ladder has 100 steps. On the first step sits 1 pigeon; on the second, 2; on the third, 3; and so on up to the hundredth. How many pigeons in all?
The ICM meets every four years. This year, the meeting takes place August 22-30 and is being held in Madrid. Section 20 of the Congress deals with the history of mathematics.

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