Part 3: Generating Functions
Generating functions are a general mathematical tool developed by de Moivre, Stirling, and Euler in the 18th century, and are used often in combinatorics. As usual, we start by taking a concrete example: In how many can you make change for a dollar? We’ll assume that we’re dealing with only five types of coins–pennies, nickels dimes, quarters, and half dollars.
Published in 2010.