Pascal's Triangle

Pascal's Triangle is one of the most intriguing array of numbers in mathematics. Not only are there seemingly boundless patterns and relationships within the trianglular array itself, but there are also numerous applications in mathematics, probability, statistics and science. Students at all levels, elementary through college, can find something of interest appropriate to their level and beyond. This book has been designed to provide a vehicle to the discovery of many of those patterns and applications. The 2nd Editioncontains new material on - Catalan numbers - centered polygonal numbers - counting paths on grids - Euler's formula - Pascal's pyramid - Vandermonde's identity - and more.