View source for Complex analysis

'''Complex analysis''' is the area of [[mathematical analysis]] that looks at [[function (mathematics)|function]]s on the [[complex number]]s. It has a wide range of uses, including [[algebraic geometry]] and analytic number theory, and areas of [[physics]], such as [[string theory]] and [[quantum mechanics]]. [[Augustin-Louis Cauchy]] is normally credited with founding complex analysis, building on the work of [[Gauss]] and [[Euler]]. Other mathematicians that made significant advances in this field include [[Riemann]], [[Weierstrass]], [[Kiyoshi Oka]] and [[Lars Ahlfors]].
== Further reading ==
* Ablowitz, M. J. & Fokas, A. S. (2003). Complex variables: introduction and applications. [[Cambridge University Press]].
* Ahlfors, L. V. (1966). Complex analysis: an introduction to the theory of analytic functions of one complex variable (Vol. 2). New York: McGraw-Hill.
* Shabat, B. V. (1992). Introduction to complex analysis: functions of several variables (Vol. 110). [[American Mathematical Society]].
* Needham, T. (1998). Visual complex analysis. [[Oxford University Press]]. [https://umv.science.upjs.sk/hutnik/NeedhamVCA.pdf | Link to the whole book]
{{math-stub}}

== Complex Analysis Media ==
<gallery widths='160px' heights='100%' mode='traditional' caption=''>
File:Augustin-Louis Cauchy 1901.jpg|[[Augustin-Louis Cauchy]], one of the founders of complex analysis

File:Exponentials_of_complex_number_within_unit_circle-2.svg|An [[exponentiation|exponential]] function {{math|''A''''n''}} of a discrete ([[integer]]) variable {{mvar|n}}, similar to [[geometric progression]]

File:Complex-plot.png|[[Domain coloring|Color wheel graph]] of the function*{{math|''f''(''x'') {{=}} {{sfrac|(''x''2 − 1)(''x'' − 2 − ''i'')2|''x''2 + 2 + 2''i''}}}}.*[[Hue]] represents the [[Argument (complex analysis)|argument]], [[brightness]] the [[Absolute value#Complex numbers|magnitude.]]
</gallery>
{{authority control}}
[[Category:Complex analysis| ]]