The Art of Proving Binomial Identities

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Mathematics - Algebra
The Art of Proving Binomial Identities

The Art of Proving Binomial Identities

Name: The Art of Proving Binomial Identities
ISBN: 9781351215817

Michael Z. Spivey

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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.

Κατηγορίες:

Mathematics - Algebra

Έτος:

2019

Έκδοση:

Εκδότης:

CRC Press LLC

Γλώσσα:

english

Σελίδες:

382

ISBN 10: