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 …

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, …

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 …

The course covers mathematical topics essential for work in computer science. Topics include: number bases, mathematical induction, sets, relations, functions, congruence, recursion, …

A Collection of Free & Open Resources for University Coursework in Computer Science.

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 …

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 …

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.