Transcript Pascal
Pascal’s Triangle Bethany Espinosa CSCI 1300-1 8:30 Computer 18 Blaise Pascal • Born June 1623, Died August 1662 • French scientist, mathematician, physicist, & religious philosopher • Contributed to many theorems and experiments pertaining to conic sections, projective geometry, and atmospheric pressure • Complete biography and more: Blaise Pascal (1623 - 1662) All About Pascal’s Triangle • Studied by Pascal although it had been described centuries earlier by Chinese mathematician Yanghui. Therefore, known as Yanghui triangle in China. • Used mostly in Algebra and Probability/Combinatorics • Also contains Fibonacci sequence, triangular, polygonal, & square numbers How to Construct It • Pascal’s formula shows that each subsequent row is obtained by adding the two entries diagonally above it • Begin with the number 1, then start a new row using the formula Want to Learn More? • Patterns In Pascal's Triangle • Pascal's Triangle From Top To Bottom - the binomial coefficient website • All You Ever Wanted to Know About Pascal's Triangle and more • A.W.F. Edwards’ Pascal’s Arithmetic Triangle: The Story of a Mathematical Idea • Dale Seymour’s Visual Patterns in Pascal’s Triangle Bibliography • “Pascal’s Triangle.” 1994. Drexel University 4 Apr 2005<http://mathforum.o rg/dr.math/faq/faq.pascal .triangle.html>. • Weisstein, Eric W. “Pascal’s Triangle.” 1999. Math World 4 Apr 2005<http://mathworld.w olfram.com/PascalsTriangl e.html>. • O’Conner, J.J. and Robertson, E.F. “Blaise Pascal.” December 1996. School of Mathematics and Statistics University of St. Andrews, Scotland 4 Apr 2005 <http://wwwgroups.dcs.stand.ac.uk/~history/Mathe maticians/Pascal.html>.