# 2: Introduction to Complex Numbers

- Page ID
- 265

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Let \(\mathbb{R}\) denote the set of \(\textbf{real numbers}\), which should be a familiar collection of numbers to anyone who has studied Calculus. In this chapter, we use \(\mathbb{R}\) to build the equally important set of so-called complex numbers.

- 2.3: Polar Form and Geometric Interpretation
- C coincides with the plane R2 when viewed as a set of ordered pairs of real numbers. Therefore, we can use polar coordinates as an alternate way to uniquely identify a complex number. This gives rise to the so-called polar form for a complex number, which often turns out to be a convenient representation for complex numbers.

### Contributors

- Isaiah Lankham, Mathematics Department at UC Davis
- Bruno Nachtergaele, Mathematics Department at UC Davis
- Anne Schilling, Mathematics Department at UC Davis

Both hardbound and softbound versions of this textbook are available online at WorldScientific.com.