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Complex Numbers and Polar Coordinates
Abstract
In this chapter, we introduce complex numbers, which are a generalization of real numbers. While explaining some of their applications, we examine the solution of the equations that may have complex roots or complex coefficients by introducing the polar form of a complex number. We will see how the equations of some curves in the polar form are simpler than the Cartesian form. In particular, they make the solution to a given problem easier. Since in practice we encounter certain types of curves in polar form, hence we also consider polar forms of some specific curves and then obtain some formula for calculating the area of a bounded region. We also, like in previous chapter, add Computer Station to help readers to draw the curves in polar forms.
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