Discrete mathematics focuses at its core on objects that can be separated and studied individually, in contrast to continuous objects such as functions or spaces in calculus or geometry.
About the Book
Discrete mathematics studies objects that can be separated and examined individually, such as sets, graphs, and numbers. This book offers a clear introduction to the essentials: sets and logic, relations and functions, graphs, combinatorics, number theory, induction, and automata.
Each chapter includes examples and figures, more than 200 exercises with solutions and hints, study guides, key questions, short quizzes, and historical notes.
Written with three decades of teaching experience, this third edition is designed to guide students step by step as they begin their study of discrete mathematics.
Dr. Anthony Bonato is a globally recognised expert in graph theory and network science. He has authored over 150 papers and eight books, including Dots and Lines: Hidden Networks in Social Media, AI, and Nature (Johns Hopkins University Press, 2025).