TY - BOOK AU - Spivey,Michael Zachary TI - The art of proving binomial identities SN - 9781351215800 AV - QA161.B48 S65 2019eb U1 - 512.9/422 23 PY - 2019/// CY - Boca Raton PB - CRC Press, Taylor & Francis Group KW - Binomial coefficients KW - Textbooks KW - Binomial theorem KW - MATHEMATICS / Algebra / Intermediate KW - bisacsh KW - MATHEMATICS / General KW - MATHEMATICS / Set Theory KW - MATHEMATICS / Combinatorics N2 - 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 UR - https://www.taylorfrancis.com/books/9781351215824 UR - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf ER -