Modular Arithmetic: Foundations and Applications

Related lectures (24)

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Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

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

Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.