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Complex analysis
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== History == [[File:Augustin-Louis Cauchy 1901.jpg|thumb|170px|[[Augustin-Louis Cauchy]], one of the founders of complex analysis]] Complex analysis is one of the classical branches in mathematics, with roots in the 18th century and just prior. Important mathematicians associated with complex numbers include [[Euler]], [[Carl Friedrich Gauss|Gauss]], [[Bernhard Riemann|Riemann]], [[Cauchy]], [[Weierstrass]], and many more in the 20th century. Complex analysis, in particular the theory of [[conformal mapping]]s, has many physical applications and is also used throughout [[analytic number theory]]. In modern times, it has become very popular through a new boost from [[complex dynamics]] and the pictures of [[fractal]]s produced by iterating [[holomorphic functions]]. Another important application of complex analysis is in [[string theory]] which examines conformal invariants in [[quantum field theory]].
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