The art of proving binomial identities

By:

Spivey, Michael Z

Material type: Text

TextSeries: Discrete mathematics and its applicationsPublication details: CRC Press 2019 Boca RatonDescription: xiv, 368 p.: ill. Includes bibliographical references and indexISBN:

9780815379423

Subject(s):

DDC classification:

512.9422 S7A7

Summary: 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. https://www.taylorfrancis.com/books/art-proving-binomial-identities-michael-spivey/10.1201/9781351215824

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad General Stacks	Non-fiction	512.9422 S7A7 (Browse shelf(Opens below))	Available		203064

Total holds: 0

Table of Contents:

Chapter 1. Introducing the Binomial Coefficients
Chapter 2. Basic Techniques
Chapter 3. Combinatorics
Chapter 4. Calculus
Chapter 5. Probability
Chapter 6. Generating Functions
Chapter 7. Recurrence Relations and Finite Differences
Chapter 8. Special Numbers
Chapter 9. Miscellaneous Techniques
Chapter 10.Mechanical Summation

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.

https://www.taylorfrancis.com/books/art-proving-binomial-identities-michael-spivey/10.1201/9781351215824

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