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Convergence articles

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A Lion in a Well

There is a lion in a well whose depth is 50 palms. He climbs and slips back a certain amount each day. In how many days will he get out of the well?

Stinkin' Pile of Money

Three men have a pile of money, their shares being 1/2, 1/3 and 1/6. Each man takes some money from the pile until nothing is left.

If You Build It...

Given a triangular piece of land having two sides 10 yards in length and its base 12 yards, what is the largest square that can be constructed within this piece of land so that one of its sides lies along the base of the triangle?

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.
A Tree with Branches, Nests, Eggs and Birds

There is a tree with 100 branches. How many nests, eggs and birds are there?

Mathematical Expeditions

A collection of original texts to help students learn some important areas of mathematics.

What Are the Odds?

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?

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