Modular Arithmetic: Introducing Z/mZ

Related lectures (28)

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Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Covers the concept of natural numbers, including properties like commutativity and associativity.

Introduces Cartesian product and induction for proofs using integers and sets.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Covers basic properties of natural numbers, including order relations and inverses.

Introduces matrix algebra operations and their properties, including commutativity and distributivity.

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

Explains the importance of parentheses in simplifying mathematical operations and notations.