Skip to main content
BookintermediatePaid

Elementary Number Theory

by David M. Burton · David M. Burton

One-semester undergraduate text presenting divisibility, congruences, Fermat's and Euler's theorems, primitive roots and quadratic reciprocity, with historical background on each result. Proofs are worked out in full detail, making it usable without an instructor.

Visit resource

This link may earn us a small commission at no extra cost to you. Affiliate disclosure

More resources on Number Theory

YouTubeFree

Mathologer

Deep mathematical explorations covering number theory, geometry, combinatorics, and recreational mathematics with rigorous proofs.

WebsiteFree

numbertheory.org

Numbertheory.org is a comprehensive online hub for learning number theory, offering curated tutorials, lecture notes, bibliographies, and a wide collection of links to papers, software, and related resources.

WebsiteFree

Wolfram MathWorld

MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.

WebsiteFree

primes.utm.edu

Primes.utm.edu, The Prime Pages, is a comprehensive number theory resource focused on primes, offering extensive prime catalogs (including Mersenne primes), historical notes, tables, and references to algorithms, software, and research data.

WebsiteFree

This Week's Finds in Mathematical Physics, Week 201

John Baez's 2004 expository column introducing Galois theory through symmetry: Galois groups of field extensions, quadratic and cyclotomic number fields, the fundamental theorem, why the quintic has no radical solution, and classical construction problems, with pointers toward class field theory.

CourseFree

Elementary Number Theory

Explore the beauty of numbers! This elementary number theory course covers divisibility, primes, congruences, and more.

See all Number Theory resources →