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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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The Art of Proving Binomial Identities (Paperback)
Loot Price: R1,576
Discovery Miles 15 760
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The Art of Proving Binomial Identities (Paperback)
Series: Discrete Mathematics and Its Applications
Expected to ship within 12 - 19 working days
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The 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. The book is very suitable for advanced
undergraduates or beginning graduate students and includes various
exercises asking them to prove identities. Students will find that
the text and notes at the end of the chapters encourages them to
look at binomial coefficients from different angles. With this
learning experience, students will be able to understand binomial
coefficients in a new way. Features: Provides a unified treatment
of many of the techniques for proving binomial coefficient
identities. Ties together several of the courses in the
undergraduate mathematics curriculum via a single theme. A textbook
for a capstone or senior seminar course in mathematics. Contains
several results by the author on proof techniques for binomial
coefficients that are not well-known. Ideal for self-study, it
contains a large number of exercises at the end of each chapter,
with hints or solutions for every exercise at the end of the book.
General
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