Olympiad-Caliber Problems

Abstract

The use of complex numbers is helpful in solving Olympiad problems. In many instances, a rather complicated problem can be solved unexpectedly by employing complex numbers. Even though the methods of Euclidean geometry, coordinate geometry, vector algebra and complex numbers look similar, in many situations the use of the latter has multiple advantages. This chapter will illustrate some classes of Olympiad-caliber problems where the method of complex numbers works efficiently.