Stevens J. Olympiad Number Theory Through Challenging Problems

Textbook. — 3rd edition. — no publisher, 2016. — 129 p.An introductory Olympiad Number Theory book for anyone with a passion for number theory and problem-solving. Each section begins by introducing a main concept or idea and then contains many engaging and challenging problems. The goal for the text was to show how several problem-solving skills——experimenting with small cases, simplification, and pattern finding——can be used to tackle a wide variety of Olympiad Number Theory problems.Divisibility
Modular Arithmetic
p-adic Valuation
Diophantine Equations
Problem Solving Strategies