Properties and applications of complex numbers in polar form

Davis Kil
Seoul Foreign School

Abstract

This paper shows the study of complex numbers in polar form and its properties. This includes De Moivre’s theorem, and the nth roots of a complex number. The various ways of expressing a complex number are shown: standard form and polar form are the two prominent methods of expressing complex numbers. Each type of expression has its own characteristics. They hold their individual pros and cons when approaching mathematical problems. The benefits of using the polar form rather than the standard form are explored and shown, while looking deeper into the polar form’s characteristics. These characteristics play a huge role in how problems are solved, and its application is shown in this paper.

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