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Modular Arithmetic

8 resources

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🎓Courses(2)

course👁️ 0

Introduction to Number Theory and Cryptography

A prominent expert in the number theory Godfrey Hardy described it in the beginning of 20th century as one of the most obviously useless branches of Pure Mathematics”. Just 30 years after his death, an algorithm for encryption of secret messages was developed using achievements of number theory. It was called RSA after the names of its authors, and its implementation is probably the most frequently used computer program in the world nowadays. Without it, nobody would be able to make secure payments over the internet, or even log in securely to e-mail and other personal services. In this course we will start with the basics of the number theory and get to cryptographic protocols based on it. By the end, you will be able to apply the basics of the number theory to encrypt and decrypt messages, and to break the code if one applies RSA carelessly. You will even pass a cryptographic quest! As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students.

intermediate🇬🇧
course👁️ 0

Theory of Numbers

Learn modular arithmetic with MIT's Theory of Numbers course by Bjorn Poonen. Explore key number theory concepts!

advanced🇬🇧

🌐Websites(6)

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website👁️ 0

Wikipedia - Modular Arithmetic

Detailed reference article.

beginner🇬🇧
website👁️ 0

Brilliant.org - Modular Arithmetic

Interactive lessons and problems.

beginner🇬🇧
website👁️ 0

Art of Problem Solving Wiki - Modular Arithmetic

Comprehensive wiki with problems and solutions.

beginner🇬🇧
website👁️ 0

mathworld.wolfram.com

MathWorld is Wolfram's comprehensive online mathematics encyclopedia offering detailed articles, definitions, theorems, and examples across topics, including modular arithmetic and number theory.

intermediate🇬🇧
website👁️ 0

ocw.mit.edu

MIT OpenCourseWare is a free online repository of MIT course materials, including lecture notes, assignments, exams, and video lectures. It covers a wide range of subjects, with mathematics courses that include topics related to modular arithmetic.

intermediate🇬🇧
website👁️ 0

khanacademy.org

Khan Academy is a free online education platform offering instructional videos, guided practice, and quizzes across math and other subjects. For modular arithmetic, it provides beginner-to-advanced lessons on congruences and number theory, with extensive practice problems.

intermediate🇬🇧

Frequently Asked Questions

What are the best free resources to learn Modular Arithmetic?

Dantes has curated 5 resources for Modular Arithmetic, including 2 courses, 3 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 Modular Arithmetic hard to learn?

Modular Arithmetic 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 Modular Arithmetic learning resources are available on Dantes?

For Modular Arithmetic, Dantes has curated 2 courses, 3 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 Modular Arithmetic 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 Modular Arithmetic, whether it's a free YouTube series, a classic textbook, or an open courseware from a top university.

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