Learning Path — Elementary Number Theory

Suggested preparation for Elementary Number Theory. Choose an entry point that fits your preparation.

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Entry / bridge route

Proofs & Mathematical Writing

Read quantified statements; write direct, contrapositive, contradiction and induction arguments.

Book of Proof — Richard Hammack. Direct open PDF

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You can explain the quantifiers in a statement and write these forms of proof without relying on a worked solution.

Elementary Number Theory

Use divisibility, congruences, Euclid’s algorithm and elementary reciprocity examples.

Elementary Number Theory: Primes, Congruences, and Secrets — William Stein. Direct open PDF

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You can prove elementary arithmetic statements and solve congruences, not just apply memorized formulas.

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Editorial route reviewed 2026-10-11. Linked texts provide the material and source introductions; the route and skip advice are not claims made by every author.