Spivey, Michael Zachary, 1973-
The art of proving binomial identities / Michael Z. Spivey. - 1 online resource.
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.
9781351215800 1351215809 9781351215824 1351215825 9781351215794 1351215795 9781351215817 1351215817
Binomial coefficients--Textbooks.
Binomial theorem--Textbooks.
MATHEMATICS / Algebra / Intermediate
MATHEMATICS / General
MATHEMATICS / Set Theory
MATHEMATICS / Combinatorics
QA161.B48 / S65 2019eb
512.9/422
The art of proving binomial identities / Michael Z. Spivey. - 1 online resource.
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.
9781351215800 1351215809 9781351215824 1351215825 9781351215794 1351215795 9781351215817 1351215817
Binomial coefficients--Textbooks.
Binomial theorem--Textbooks.
MATHEMATICS / Algebra / Intermediate
MATHEMATICS / General
MATHEMATICS / Set Theory
MATHEMATICS / Combinatorics
QA161.B48 / S65 2019eb
512.9/422