Abstract

This chapter discusses complex numbers. It is a shortcoming of the real number system that not every polynomial equation has a real root. The complex number system is an extension of the real number system, and its arithmetic is consistent with that of the real number system. The chapter also discusses complex conjugates and absolute values. Each polynomial with complex coefficients has a complex zero. Each real polynomial is the product of real irreducible linear and quadratic factors. There is a very important formula for the integer powers of a complex number, called as—De Moivre's Theorem.

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