An Introduction to Discrete Mathematics

An Introduction to Discrete Mathematics offers an engaging and accessible introduction to discrete mathematics for beginning undergraduate students across a wide range of application areas, from mathematics to statistics, operations research, business, engineering, and the sciences. It provides solid foundation in precise proof writing methods, with early chapters introducing set theory and logic that are followed by deductive and inductive proof techniques, number theory, counting principles, permutations and combinations, probability of events, random variables, graphs, and weighted graphs.

The book illustrates fundamental concepts in discrete mathematics with clear and precise definitions that are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory. Chapters include student exercises to enhance learning, and a solutions manual and example questions are available for instructors on a companion website.

• Offers a concise, practical foundation in discrete mathematics that is ideal for a one semester undergraduate course
• Addresses applications in mathematics, statistics, operations research, business, engineering, and the sciences
• Features clear definitions, examples, and student exercises across all chapters
• Includes a Solutions Manual and example PollEverywhere questions on an instructor site