117 Polynomial Problems [Andreescu]

[mklabgr]

117 Polynomial Problems from the Awesomemath
BY  Titu Andreescu

Summary

117 Polynomial Problems from the AwesomeMath Summer Program is a collection designed to develop a deeper understanding of polynomials through challenging problem solving rather than routine exercises. The book explores the many roles that polynomials play in olympiad mathematics, covering fundamental concepts such as polynomial identities, factorization, roots, coefficients, polynomial equations, and relationships between algebra and number theory. It presents a carefully selected set of 117 problems ranging from introductory ideas to advanced competition-level challenges, with the goal of helping students build intuition and learn powerful techniques for attacking unfamiliar problems. 

Written by Titu Andreescu, Navid Safaei, and Alessandro Ventullo, the book combines theory, examples, and detailed solutions to show how abstract polynomial properties can be transformed into practical problem-solving tools. It is aimed at students preparing for mathematical competitions such as olympiads, as well as anyone who wants to appreciate the elegance and versatility of algebraic reasoning. By highlighting creative methods involving polynomial transformations, roots, and structural patterns, the book demonstrates why polynomials remain one of the most powerful and beautiful areas of mathematics. Its broader significance lies in showing how mastering polynomial techniques can strengthen mathematical creativity and problem-solving skills far beyond competition settings.


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