Title: 10_3 The Exponential Form of a Complex Number
Course: HELM Workbooks 2023-2024 > Section: HELM 10: Complex Numbers

In this quiz we introduce a third way of expressing a complex number: the exponential form. We shall discover, through the use of the complex number notation, the intimate connection between the exponential function and the trigonometric functions. We shall also see, using the exponential form, that certain calculations, particularly multiplication and division of complex numbers, are even easier than when expressed in polar form.

The exponential form of a complex number is in widespread use in engineering and science.