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Algebraic number theory
Related lectures (29)
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Fermat's Equation: Integral Solutions and Gaussian Integers
Discusses Fermat's equation and Gaussian integers' properties.
Mathematical Recursion: Induction and Recursion
Explains mathematical induction for proving propositions true for all positive integers.
Linear Algebra: Integers
Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.
Complexity of Algorithms: Proofs of Time Complexity
Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Closure Conversion: Representation and Transformation
Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.
Shor's factoring algorithm: Quantum Phase Estimation
Covers Shor's factoring algorithm and the link between order finding and factoring.
Discrete Log Problem: Pollard's Rho Method
Introduces Pollard's rho method for the discrete log problem and finding collisions efficiently in a cyclic group.
Problem-solving Strategies: Sum of N Integers (Recursive)
Covers the recursive algorithm for calculating the sum of the first N integers.
