Problem Solving Strategies by Arthur Engel

This classic training manual presents a toolbox of heuristics and techniques for tackling challenging mathematical problems, with emphasis on combinatorics, number theory, algebra, and geometry. Through numerous olympiad-level examples and exercises with detailed solutions, it illustrates strategies such as invariants, the extremal principle, the Pigeonhole Principle, inequalities, and constructive methods, while showing how to develop a solution from initial insight to rigorous proof. It serves both as a self-study guide for competitors and a resource for teachers and coaches seeking systematic, strategic approaches.

Purchase from Bookshop.org