Number Theory

Introduces elementary number theory. Includes linear Diophantine equations, congruencies, modular arithmetic, design of magic squares, Fermat’s little theorem, Euler’s phi function, the RSA encryption system, and the law of quadratic reciprocity. Discusses additional topics, such as Diophantine approximation, Pell’s equation, elliptic curves, and Fermat’s last theorem, if time permits.

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