The Art of Proving Binomial Identities

Download or read book The Art of Proving Binomial Identities written by Michael Z. Spivey and published by CRC Press. This book was released on 2019-05-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.