What is 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}} {{authority control}} [[Category:Complex analysis| ]]