Art of Proving Binomial Identities

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).

List of contents

Introducing the Binomial Coefficients. Basic Techniques. Combinatorics. Calculus. Probability. Generating Functions. Recurrence Relations and Finite Differences. Special Numbers. Miscellaneous Techniques. Hints and Solutions to Exercises.

About the author

Michael Z. Spivey is Professor of Mathematics at the University of Puget Sound, where he currently serves as chair of the Department of Mathematics and Computer Science. He earned his PhD in operations research from Princeton University. He has authored more than 25 mathematics papers, most of which are on optimization, combinatorics, or the binomial coeffcients.

Summary

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).

Product details

• Authors: Michael Z. Spivey, Michael Z. (University of Puget Sound Spivey
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 14.05.2019
• EAN: 9780815379423
• ISBN: 978-0-8153-7942-3
• No. of pages: 368
• Series: Discrete Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / General, MATHEMATICS / Set Theory, MATHEMATICS / Combinatorics, Combinatorics & graph theory, Combinatorics and graph theory, Set theory