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Complex number

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Arithmetic Numbers Complex numbers
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A complex number is a number that can be expressed in the form \( a + bi \), where: - \( a \) and \( b \) are real numbers, - \( i \) is the imaginary unit, defined as \( i = \sqrt{-1} \). In this representation: - \( a \) is called the **real part** of the complex number, - \( b \) is called the **imaginary part** of the complex number.

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Complex number by Ciro Santilli 37 Updated 2025-07-16
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An ordered pair of two real numbers with the complex addition and multiplication defined.
Forms both a:
  • division algebra if thought of R2 with complex multiplication as the bilinear map of the algebra
  • field
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