Discrete Mathematics: An Open Introduction
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Free online textbook with chapter on relations and functions.
More resources on Relations & Functions
Mathematics for Computer Science
Learn relations and functions for computer science with this MIT course by Leighton & van Dijk! Strengthen your math skills today.
Discrete Mathematics
Discrete mathematics forms the mathematical foundation of computer and information science. It is also a fascinating subject in itself. Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Perhaps more importantly, they will reach a certain level of mathematical maturity - being able to understand formal statements and their proofs; coming up with rigorous proofs themselves; and coming up with interesting results. This course attempts to be rigorous without being overly formal. This means, for every concept we introduce we will show at least one interesting and non-trivial result and give a full proof. However, we will do so without too much formal notation, employing examples and figures whenever possible. The main topics of this course are (1) sets, functions, relations, (2) enumerative combinatorics, (3) graph theory, (4) network flow and matchings. It does not cover modular arithmetic, algebra, and logic, since these topics have a slightly different flavor and because there are already several courses on Coursera specifically on these topics.
Discrete Mathematics and Its Applications
Discrete Mathematics and Its Applications - A book resource
mathworld.wolfram.com
MathWorld is Wolfram’s comprehensive online math encyclopedia with in-depth articles, definitions, theorems, and worked examples across topics, including relations and functions. It provides clear explanations, formulas, diagrams, and references to help deepen understanding.
ocw.mit.edu
MIT OpenCourseWare provides free, openly accessible course materials from MIT across disciplines, including mathematics. You can browse complete course pages with lecture notes, assignments, exams, and sometimes video lectures to study topics like Relations & Functions at your own pace.
Introduction to Discrete Mathematics
Introduction to Discrete Mathematics - A book resource