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Möbius Transformations: Properties and Applications
By the instructor Malo Jézéquel explores Möbius transformations and bounded distortion in SL(2, R).
Matrix Determinant: Factorization and Linear Equations
Covers the determinant of a matrix, factorization, and linear equations with infinite solutions.
Number Theory: GCD and LCM
Covers GCD, LCM, and the Euclidean algorithm for efficient computation.
Algebraic Structures: Groups and Rings
Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.
Polynomial Factorization and Decomposition
Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.
Polynomial Equations: Solving Methods
Covers various methods for solving polynomial equations through examples.
Integer Factorization: Quadratic Sieve
Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.