Abstract

This chapter discusses complex numbers. The aggregate of all the numbers, rational and irrational, is called the arithmetical continuum. The members of the whole class of numbers are called real numbers. The integers constitute an infinite ordered sequence in which comparison between one number and another of the form a >b is possible, and within which the next number can be designated to any given number of the sequence. Complex numbers can be manipulated alongside real numbers according to the ordinary processes of algebra. Complex numbers do not possess magnitude that real numbers do. If a polynomial equation with real coefficients has complex roots, then these roots occur in conjugate pairs. The modulus of the product of two complex numbers is equal to the product of the moduli of the numbers. The chapter also describes De Moivre's theorem.

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