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[[Image:Algebraicszoom.png|right|thumb|300px|A visualisation of the [[wikipedia:Algebraic_number|algebraic numbers]] in the [[wikipedia:Complex_plane|complex plane]]. Number fields are algebraic extensions of the rationals whose elements lie among these points.]]
== Background ==
== Background ==


Fields are important mathematical constructs with far-reaching applications across many branches of mathematics.
Fields are important mathematical constructs with far-reaching applications across many branches of mathematics.