ABSTRACT
The usual arithmetic operations of addition, subtraction, multiplication and division can be performed on complex numbers. This chapter presents examples of addition, subtraction, multiplication and division of complex numbers. Division of complex numbers is carried out by converting the complex number in the denominator into an ordinary number. This can be done by multiplying both the numerator and the denominator by the conjugate of the denominator. A complex number can be represented graphically by a point on an Argand diagram. In an Argand diagram the real part of the complex number is represented on the horizontal axis and the imaginary part is represented on the vertical axis. The chapter describes the De Moivre’s theorem which is useful for determining roots and powers of complex numbers. There are many applications of complex numbers in science and engineering. The chapter shows how complex numbers are used in vector analysis and in alternating current theory.
