Pascal's Triangle - ISBN:0226843165

Pascal's Triangle

Date: 21 April 2011, 12:45

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Pascal's triangle is a numerical table which has fascinated mathematicians since its invention by Pascal over three hundred years ago. This table can be used to solve a variety of computation problems. Its applications in number theory, probability theory, combinatorics, and even analysis make it important on many levels of mathematics. V. A. Uspenskii describes the development of the triangle by means of concepts seldom treated at this level. His exposition of Pascal's triangle exposes students to some of the basic methods of constructlve mathematics.
Contents:
1. A Problem from the Eighth Olympiad
2. What It Means to Solve a Problem
3. Pascal's Triangle
4. Pascal's Operation
5. Binomial Coefficients
6. The Number of Subsets of a Given Set
7. The Connection with Factorials

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