Lectures related to Euclidean Algorithm: GCD Calculation

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Delves into the complexity of factoring polynomials and the implications for security.

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

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Covers control operations, algorithmic complexity, function calls, and travel time analysis.

Introduces algorithms as problem-solving procedures, covering complexity, correctness, and implementation in various languages.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Introduces greatest common divisor, prime factorization, and the Euclidean Algorithm.

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Covers algorithmic complexity and travel time analysis, focusing on measuring the time taken by algorithms and evaluating their performance.

Covers the concept of algorithms, loop invariants, and examples of algorithmic problem-solving.

Covers function composition and integers, including properties and examples.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Covers Shor's factoring algorithm and the link between order finding and factoring.

Introduces polynomial factorization over finite fields and efficient computation of greatest common divisors of polynomials.

Covers algorithms for big numbers, Z_n, and orders in a group, explaining arithmetic operations and cryptographic concepts.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.