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EbookBell Team
5.0
100 reviewsThe Art of Proving Binomial Identities
accomplishes two goals: (1) It provides a unified treatment of the
binomial coefficients, and (2) Brings 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.
