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Line 1: − Complex numbers is a branch of mathematics based on the assumption that one can manipulate a unique, imaginary number defined as:+ − − − − − In [[real numbers]] the square root of negative one does not exist.
ouch, pain, pain. no no no. if we can't get basic math right, how is this ever going to succeed. mein gut in himmel
The complex numbers are numbers of the form <math> a + bi </math> where <math> a </math> and <math> b </math> are real numbers and <math> i </math> is a square root of unity. The complex numbers form an [[algebraic closure|algebraicly closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations.
<math>i = \sqrt{-1}</math>
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===In popular culture===
===In popular culture===
In [[Yvgeny Zamyatin]]'s satirical novel ''[[We (novel)|We]]'', the narrator's psychological distress at contemplating the concept of complex numbers becomes a metaphor for the limitations of totalitarian systems of thought.
In [[Yvgeny Zamyatin]]'s satirical novel ''[[We (novel)|We]]'', the narrator's psychological distress at contemplating the concept of complex numbers becomes a metaphor for the limitations of totalitarian systems of thought.