Skip to main content
Monte Cristo Logo
Monte Cristo

Relations & Functions

Study sheet

This topic covers how mathematical objects associate with one another through mappings and ordered pairs. Learners will understand properties like injectivity, surjectivity, and equivalence relations, which are fundamental to algebra and database design.

8 resources

Level
Type

🎓Courses(2)

course👁️ 0

Logic and Proofs, Discrete Math

Master logic and proofs with this Discrete Math course by Albert R. Meyer. Explore logic in computer science & build problem-solving skills.

advanced🇬🇧
course👁️ 0

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.

beginner🇬🇧

📚Books(2)

book👁️ 0

Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications - A book resource

intermediate🇬🇧
book👁️ 0

Introduction to Discrete Mathematics

Introduction to Discrete Mathematics - A book resource

intermediate🇬🇧

🌐Websites(4)

website👁️ 0

Discrete Mathematics: An Open Introduction

Free online textbook with chapter on relations and functions.

beginner🇬🇧
website👁️ 0

khanacademy.org

Khan Academy is a free online learning platform offering instructional videos and interactive practice across math topics, including linear equations. It provides step-by-step lessons, examples, and exercises to help you understand and master solving linear equations.

intermediate🇬🇧
website👁️ 0

mathworld.wolfram.com

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

intermediate🇬🇧
website👁️ 0

ocw.mit.edu

MIT OpenCourseWare is a free, publicly accessible repository of MIT course materials across many disciplines, providing complete lecture notes, assignments, exams, and often video lectures from MIT courses. It includes math and other subjects, allowing self-paced study on topics such as group theory and beyond.

intermediate🇬🇧

Frequently Asked Questions

What are the best free resources to learn Relations & Functions?

Dantes has curated 8 resources for Relations & Functions, including 2 books, 2 courses, 4 websites. All resources are hand-picked for quality — no algorithmic filler. Browse the full list above to find the format that works best for you.

Is Relations & Functions hard to learn?

Relations & Functions is approachable at the beginner level — there are resources here specifically for those starting from scratch. As you progress, intermediate and advanced material is also available to take your skills further.

What types of Relations & Functions learning resources are available on Dantes?

For Relations & Functions, Dantes has curated 2 books, 2 courses, 4 websites. Each resource type serves a different learning style: videos and YouTube for visual learners, books for depth, courses for structured progression, and websites for quick reference.

How does Dantes select Relations & Functions resources?

Dantes is an algorithm-free learning directory. Resources are hand-curated based on quality, accuracy, and usefulness — not engagement metrics or paid placements. The goal is to surface the best learning material for Relations & Functions, whether it's a free YouTube series, a classic textbook, or an open courseware from a top university.

Go deeper

Test your understanding of Relations & Functions

Explain it out loud. An AI tutor listens and asks questions that expose gaps you didn't know you had.