An Introduction to Discrete Mathematics

An Introduction to Discrete Mathematics, 1st Edition, is a 320-page undergraduate textbook published by Academic Press and designed specifically for a one-semester course. It provides students with a clear introduction to foundational discrete mathematical concepts and proof writing techniques across twelve targeted chapters.

The narrative unfolds through three main thematic areas. First, it covers number systems, logic, deduction, sets, functions, sequences, sums, induction, recursion, and elementary number theory. Next, it presents combinatorial methods, highlighting basic principles of counting along with permutations and combinations. The final sequence covers discrete probability topics including event probabilities and random variables, followed by graphs and weighted graph networks.

To support classroom delivery, instructor companion resources include a full solutions manual and interactive PollEverywhere example questions. The material is tailored for undergraduate students pursuing degrees in mathematics, statistics, operations research, business, engineering, and related sciences.