rings, including Z, Q, R, and Zn. However, some of them possess additional structure t at allows the division operation. Namely, a ring is said to be a field if, in addition • For every a ∈ S, such that a 6= …

This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students, which I have been teaching at Carleton Uni-versity since the fall term of 2013.

Particular emphasis is placed on inductive definitions and proofs, with application to problems in computer science. Special topics such as finite state automata and modular arithmetic will be …

In this course we will study the discrete mathematical foundations of computer science. This includes not only the discrete structures themselves, like sets, functions, relations, matrices, and graphs, but also …

Nov 5, 2023 · Discrete structures in computer science refer to mathematical structures that are countable or can be broken down into distinct and separate parts. These structures are fundamental …

Jul 2, 2025 · This article will explore the core concepts, significance, and applications of discrete structures in the field of computer science, targeting developers, tech enthusiasts, and industry …

Topics include: number bases, mathematical induction, sets, relations, functions, congruence, recursion, combinations and permutations, probability, graphs, trees, logic, Boolean algebra, and proof …

Sep 1, 2025 · Discrete mathematical structures include objects with distinct values, like graphs, integers, logic-based statements, etc. To explore these concepts in detail, we begin with the following core …

Welcome to the vault for Discrete Structures for Computer Science. This website contains articles for all the important concepts in a two-semester course on discrete mathematics for computer science majors.

In this chapter we introduce several basic types of proofs, with special emphasis on a technique called induction that is invaluable to the study of discrete math.