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MATH 3320

Introduction to Number Theory

4.0 credits · Undergraduate

An introductory course on number theory, the branch of algebra that studies the deeper properties of integers and their generalizations. Usually includes most of the following topics: the Euclidean algorithm, continued fractions, Pythagorean triples, Diophantine equations such as Pell's equation, congruences, quadratic reciprocity, binary quadratic forms, Gaussian integers, and factorization in quadratic number fields. May include a brief introduction to Fermat's Last Theorem.

spring 2026

Readings

  • Jones and Jones, Elementary Number Theory , Springer, 1998 (ISBN: 978-3-540-76197-6) — free e-book through the Cornell Math Library
    Listed textbook

Prerequisites & course information

MATH 2210 or MATH 2230 or MATH 2310 or MATH 2940 or equivalent.

Sources
Catalogue variants