Modular arithmetic

Formal sciences
Mathematics
Algebra
Abstract algebra

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (29)

Explores modular arithmetic, congruence, and number manipulation in a mathematical context, showcasing the power of modular reduction and the tricks of casting out nines.

Modulo: Congruence and Check Digits

Explores modulo arithmetic rules and check digits for data accuracy.

Rudiments of Number Theory

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Modular Arithmetic: Foundations and Applications

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Modular Arithmetic: Understanding RSA Cryptosystem

Explores modular arithmetic and its role in the RSA cryptosystem for error detection.

Modular Arithmetic: Introducing Z/mZ

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Montgomery Multiplication

Covers Barrett reduction, Montgomery form of integers, and efficient Montgomery product computation.

Algorithms for Big Numbers: Z_n and Orders

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Binary Operations: Addition and Multiplication

Covers binary operations, including addition and multiplication of integers represented in binary form.

Number Theory: History and Concepts

Explores the history and concepts of Number Theory, including divisibility and congruence relations.

Number Theory: Modular Exponentiation Examples

Covers examples of modular exponentiation, complexities, Lame's Theorem, Collatz Conjecture, and prime numbers.

Integers: Sets, Maps, and Principles

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Number Theory: Prime Numbers and Modular Arithmetic

Explores prime numbers, modular arithmetic, Wilson's theorem, and complexity analysis.

Prime Numbers: Deterministic Approaches

Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.

Prime Numbers and Algorithms

Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.

Quotients of Groups by Relations of Equivalence

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Primes and Coprime

Explores prime numbers, coprime integers, and their properties in number theory.

Modular Arithmetic: Exponentiation Optimization

Explores optimizing exponentiation in modular arithmetic for efficient calculations and prime number determination.

Modular Arithmetic: Properties and Examples

Covers modular arithmetic properties, computation examples, and commutative rings.

Modular Arithmetic: Operations and Properties

Explains modular arithmetic operations and properties, including commutative rings and multiplicative inverses.

Page 1 of 2