Arthur Engel

German mathematician and educator best known for the book Problem-Solving Strategies and for his influential work in mathematics education and mathematical olympiad training.

This list of books are ONLY the books that have been ranked on the lists that are aggregated on this site. This is not a comprehensive list of all books by this author.

  1. 1. Problem Solving Strategies

    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.

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