Quantum Calculus (Softcover Reprint of the Original 1st 2002)

In one sentence, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. It studies quantum calculus along the traditional lines of ordinary calculus and discovers many important notions and results in combinatorics, number theory, and other fields of mathematics. The book assumes only some knowledge of first year calculus and linear algebra and is addressed mainly to undergraduate students.