The Art of Proving Binomial Identities

ISBN-13: 9780815379423 / Angielski / Twarda / 2019 / 368 str.

Michael Z. Spivey

Opis

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).

Spis treści

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.

O autorze

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.