Browse Classroom Capsules and Notes

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Fermat's Last Theorem for Fractional and Irrational Exponents

Following his senior seminars, the author discusses Fermat's last theorem for rational and irrational exponents, in which the rational solutions are characterized.

An Algorithm for Multiplication in Modular Arithmetic

An algorithm, with examples, for multiplying by \(m\) modulo \( \)n without actually carrying out the multiplications in ordinary arithmetic

Primitive Pythagorean Triples of Gaussian Integers

Gaussian Integer solutions to the Pythagorean Triplet equation are investigated. The paper was `inspired by undergraduates, and is accessible to them`.