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 re-assure 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 Non-Zero 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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