Complex analysis is the branch of mathematics investigating functions of complex numbers, and is of enormous practical use in many branches of mathematics, including applied mathematics.
Complex analysis is particularly concerned with analytic functions of complex variables, known as holomorphic functions.

Complex Analysis - Mathematica 4.0 Notebooks to accompany the textbook by John Mathews and Russell Howell
Complex Analysis - Course notes and quizzes by Paul Scott in HTML.
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Complex Analysis and Analytic Geometry - Research presentation at Jussieu.
Complex Analysis in Japan - Links, seminars, preprints, gallery (in English).
Complex and Functional Analysis - Course notes and old exams in PDF, PS, DVI, and TeX for a first course in Complex and Functional Analysis.
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Complex Plot - Computer program that plots images of holomorphic functions.
Complex Variable Toolbox - MATLAB toolbox designed and developed for teaching complex variables with focus on the graphic representation of the concepts.
Graphics for Complex Analysis - A collection of graphical demonstrations of concepts in complex analysis. Requires Java.
Harmonic Maps Bibliography - The master file is in TiB format from which BiBTeX, TeX and PostScript versions have been generated.
Mathematics ArXiv front - CV - Complex Variables
Navigating Teichmüller Space - Graphical tool for visualising a tiling of a genus-2 Riemann surface by octagons.
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On the Riemann-Hilbert Problem - Masters thesis by Martin Kilian, 1999.
Several Complex Variables and Analytic Spaces - Articles and links in the Mathematical Atlas series.
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Several Complex Variables in Japan - Conferences, mailing lists, research groups, other links.
UW Complex Analysis Seminar Archive - Seminar abstracts starting 1995.
Visualizing Complex Analytic Functions Using Domain Coloring - Color pictures of complex analytic functions, with rather extensive comments. Hans Lundmark, Dept. of Mathematics, Linköping University, Sweden.
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