Pascal'S Arithmetical Triangle : Pascal'S Arithmetical Triangle: the Story of a Mathematical Idea

Named for the 17th-century philosopher Blaise Pascal, the tradition of a triangular array of numbers enjoyed by recreational and other mathematicians dates back to Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra.

This survey explores the complete history of the arithmetical triangle, showing how Pascal's work in establishing the properties of the numbers and their application in various fields led to discoveries by Newton and Leibniz.