Chapter: Algebraic Properties of Complex Numbers
In this chapter, we will show, among others, how the complex numbers together with their addition and multiplication form the algebraic structure of a field. This will reassure us that we can calculate with complex numbers just how we are used to calculating with real numbers. Moreover, we will show that real numbers can be regarded as a special case of complex numbers, from the algebraic point of view.
Table of Contents
 Proposition: Algebraic Structure of Complex Numbers Together with Addition
 Proposition: Algebraic Structure of NonZero Complex Numbers Together with Multiplication
 Proposition: Algebraic Structure of Complex Numbers Together with Addition and Multiplication
 Proposition: Complex Numbers are a Field Extension of Real Numbers
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