eBook - ePub

The Art of Proving Binomial Identities

Name: The Art of Proving Binomial Identities
ISBN: 9781351215800

Michael Z. Spivey,

368 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

The Art of Proving Binomial Identities

Michael Z. Spivey,

About this book

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.

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Yes, you can access The Art of Proving Binomial Identities by Michael Z. Spivey in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.