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Convergence articles

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Thirty flasks—10 full, 10 half-empty, and 10 completely empty—are to be divided among 3 sons so that flasks and contents should be shared equally. How may this be done?

A historically minded textbook designed to teach real analysis by considering some of the problems faced by 19th century mathematicians.

A ladder is placed perpendicular to the plane of the horizon, and in coincidence with the plane of an upright wall.

A teacher agreed to teach 9 months for $562.50 and his board. At the end of the term, on account of two months' absence caused by sickness, he received only $409.50. What was his board worth per month?

Greek ladders for approximating square roots may be more ancient than the ancient Greeks. Students at any level can appreciate their beauty and simplicity. Those who have studied calculus can compare them with Newton's Method for approximating roots.

A guest on horseback rides 300 li in a day. The guest leaves his clothes behind and the host rides off to catch up with the guest once he discovers the clothes. Assuming the host rides without stop tell how far he can go in a day?

The Ohio Section Short Course will consider the use of original sources in teaching mathematics.

Suppose that the probability of success in an experiment is a/(a+b). How many trials of the experiment are necessary to insure even odds on it happening at least once?

Two excellent volumes on Euler in honor of his three hundredth birthday

A person has a circular yard that is 150 ft. in diameter, and wishes a walk of equal width made round it within the fence...

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