Abstract
So far we have worked with real numbers and used that they are ordered and can be added and multiplied, tacitly assuming that addition and multiplication satisfy the classical computational rules, i.e., that these operations are commutative, associative, \(\ldots \). It turns out that for many reasons, it is necessary to consider an extension of the set \(\mathbb {R}\) of real numbers. These more general numbers are referred to as complex numbers and the set of them is denoted by \(\mathbb {C}\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Benz, M., Kappeler, T. (2023). Complex Numbers. In: Linear Algebra for the Sciences. UNITEXT(), vol 151. Springer, Cham. https://doi.org/10.1007/978-3-031-27220-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-27220-2_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-27219-6
Online ISBN: 978-3-031-27220-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)