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This lecture explores ancient Greek number theory through squares, triangular numbers, primes, perfect numbers, Euclid’s Fundamental Theorem of Arithmetic, the Euclidean algorithm, continued fractions, and Pell’s equation as it relates to Archimedes’ Cattle Problem.
Syllabus
Intro
Continued fractions
Pals equation
Example
Archimedes
Pels equation
Taught by
Insights into Mathematics