The Art of Proving Binomial Identities

1st Edition

Michael Z. Spivey

Chapman and Hall/CRC
June 6, 2019 Forthcoming
Textbook - 384 Pages - 29 B/W Illustrations
ISBN 9780815379423 - CAT# K339100
Series: Discrete Mathematics and Its Applications

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Summary

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.

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