Number theory

Best number theory books and tools

Resources for Number theory under Mathematics. Pair these picks with articles on thestemprofessor.com.

• An Introduction to the Theory of Numbers (Hardy & Wright) — Classic graduate-level number theory reference — choose a recent edition.
• Elementary Number Theory (Kenneth Rosen) — Accessible undergrad path with cryptography applications in later chapters.
• A Friendly Introduction to Number Theory (Joseph Silverman) — Problem-driven intro before jumping into proof-heavy courses.
• Number Theory: A Lively Introduction (James Pommersheim) — Visual, inquiry-based text for strong high-school or early undergrad students.
• Portable math whiteboard — Scratch proofs and conjectures without wasting paper.
• Number theory puzzle book — Recreational problems that build intuition before formal proofs.