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Lecture
Number Theory: GCD and LCM
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Related lectures (29)
Arithmetic Fundamentals: Equivalence and Irreducibility
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Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.
Polynomial Factorization: Field Approach
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Covers the factorization of polynomials over a field, including division with remainder and common divisors.
Integers and Rings
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Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Lenstra's Algorithm: Integer Factorization
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Covers Lenstra's Algorithm for integer factorization, which efficiently computes prime factors of an integer.
Mathematical Parenthesis on Groups and Lagrange Theorem
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Explores cosets in commutative groups, Lagrange theorem, and integer factorization.
Shor's factoring algorithm: Quantum Phase Estimation
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Covers Shor's factoring algorithm and the link between order finding and factoring.
Algebra: Integer Numbers and Principles
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Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.
Algebraic Structures: Groups and Rings
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Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.
Principle of Superposition in Differential Equations
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Explores the principle of superposition in differential equations and the fundamental theorem of algebra.
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