MATH - 4133 Number Theory (3)

A study of the properties of whole numbers: divisibility, primes, modular arithmetic, secret codes, hashing functions, quadratic reciprocity, sums of squares, continued fractions, Diophantine equations, Pell’s equation, square-triangular numbers, errors in finite-precision arithmetics using pocket calculators and computers, Fermat’s Last Theorem, and related topics. Equivalent to MATH-465. Prerequisite: take MATH-2137 or MATH-2449.