An Introduction to q-analysis

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An Introduction to q-analysis is written by Warren P. Johnson and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 1470456230 (ISBN 10) and 9781470456238 (ISBN 13).

Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.