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Convergence articles

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Euler Tercentenary Volumes

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

Look Out Below!

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...

Walk Around the Triangle

If an equilateral triangle whose area is equal to 10,000 square feet be surrounded by a walk of uniform width, and equal to the area of the inscribed circle, what is the width of the walk?

Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation

A study and English translation of Servois' attempt to place calculus on a foundation of algebraic analysis without recourse to infinitesimals, continuing the work of Lagrange.

Estate Will

A father wills his estate valued at $40,000 to his three children. Before the settlement one of the children dies. What should the other two receive?

Apportioning Representatives in the United States Congress

The history of apportionment of representatives in the U.S. Congress, from the 1790s until today, along with a discussion of the mathematics involved in the various methods.

Free Fertilizer

If 12 oxen eat up 3 1/3 acres of meadow in 4 weeks and 21 oxen eat up 10 acres of exactly similar meadow in 9 weeks, how many oxen shall eat up 36 acres in 18 weeks? (Hint: The grass continues to grow.)

Where Cosine Meets Tangent

Determine by using algebra the number of degrees in the angle A where: cos A = tan A

Midwest History of Mathematics Conference
This conference takes place in 2006 at Pennsylvania State University, Erie.
Bridge Over Troubled Waters

A bridge is built across a river in 6 months by 45 men. It is washed away by the current. Find the number of workmen sufficient to build another of twice as much worth in 4 months.

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