The Art of Proving Binomial Identities (Discrete Mathematics and Its Applications)

Book Details

• Author: Michael Z. Spivey

• Brand: CRC Press

• Edition: 1

• Binding: Hardcover

• Number of Pages: 368

• Release Date: 14-05-2019

• ISBN: 9780815379423

• Package Dimensions: 9.4 x 6.4 x 1.1 inches

• Languages: English

About The Book

"The Art of Proving Binomial Identities" by Michael Z. Spivey serves as a comprehensive exploration of the binomial coefficients, offering a unified approach to their understanding. This book accomplishes two significant goals: first, it presents a unified treatment of binomial coefficients, and second, it ties together much of the undergraduate mathematics curriculum by focusing on this central theme.

Binomial coefficients play a crucial role across various fields of mathematics, including combinatorics, algebra, infinite series, probability, number theory, calculus, and even statistical mechanics. The book is designed to be a valuable resource for advanced undergraduates or beginning graduate students. It encourages learners to explore binomial identities from various perspectives, helping them understand these mathematical concepts in new and deeper ways.

Key features of the book include:

• A unified treatment of techniques for proving binomial coefficient identities

• A connection to multiple areas of the undergraduate mathematics curriculum

• Ideal for use in capstone or senior seminar courses in mathematics

• Presentation of lesser-known results on proof techniques for binomial coefficients by the author

• A wealth of exercises at the end of each chapter, with hints or solutions provided for self-study

By providing a robust set of exercises and offering insightful discussions on proof techniques, this book serves as an ideal textbook for students and a valuable resource for self-learners.