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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'
The Door and the Rod
Given a door and a measuring rod of unknown dimensions, the rod is used to measure the door.
Steamboat
The cost per hour of running a certain steamboat is proportional to the cube of its velocity in still water. At what speed should it be run to make a trip up stream against a four-mile current most economically?
Japanese Temple Problem
Given two circles tangent to each other and to a common line, determine a relationship between the radii and the distance between the tangent points.
Peano on Wronskians: A Translation - Survey of Infinitesimal Analysis
How a translation of Peano's counterexample to the 'theorem' that a zero Wronskian implies linear dependence can help your differential equations students
The Cost of War
After a terrible battle it is found that 70% of the soldiers have lost an eye.
Inheritance of Three Sons
A man died leaving 3 sons, to whom he bequeathed his estate in the following manner: to the eldest he gave 184 dollars; to the second 155 dollars and to the third 96 dollars;

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