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The complex numbers form an [[algebraic closure|algebraically closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations.  They are the algebraic closure of the [[real numbers]].

The complex numbers form an [[algebraic closure|algebraically closed]] [[field (mathematics)|field]] but do not permit a non-trivial ordering that is preserved under operations.  They are the algebraic closure of the [[real numbers]].

Many functions used in real analysis can be extended in to complex numbers using [[Taylor series]] this is the subject of [[Complex analysis]].

Many functions used in real analysis can be extended in to complex numbers using [[Taylor series]] this is the subject of [[complex analysis]].

===In popular culture===

===In popular culture===