Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Euclid's Algorithm for the Greatest Common Divisor

Project to help discrete mathematics and computer science students learn basic properties of division and the Euclidean algorithm and its proof from Euclid himself

Sums of Powers in Discrete Mathematics: Archimedes Sums Squares in the Sand

A project to help students learn from Archimedes' writings how he summed squares

Deduction through the Ages: A History of Truth

A project to introduce students to logic and especially implication by consulting original sources from ancient to modern times

Primary Historical Sources in the Classroom: Discrete Mathematics and Computer Science

A collection of modules for teaching and learning by 'reading the masters'

Water Tank Minimization

A copper water tank in the form of a rectangular parallelepiped is to made. If its length is to be a times its breadth, how high should it be that for a given capacity it should cost as little as possible?

A General Question

Suppose General [George] Washington had 800 men and was supplied with provisions to last 2 months but he needed to feed his army for 5 months.

Base 7

A number of 3 digits in base 7 has the same three digits...

Chuquet's Rule of Average Numbers

Prove Chuquet's rule of average numbers.

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...

Radii of Three Circles

Determine the radii of three equal circles described within and tangent to a given circle, and also tangent to each other.