Olympiad-Caliber Problems

Abstract

This chapter is a special feature of the book and it is an outstanding selection of genuine olympiad and other important mathematical contest problems solved using the methods and techniques already presented. The problems are organized into nine sections as follows : problems involving moduli and conjugates, algebraic equations and polynomials, connections between algebraic identities and geometric properties, geometric problems, trigonometric problems, problems involving the nth roots of unity, problems involving polygons, complex numbers and combinatorics, miscellaneous problems.KeywordsOutstanding SurvivalAlgebraic IdentitiesComplex NumbersMiscellaneous ProblemsTrigonometric ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.