Topic summary
Complex variable
Extracted from the Wikipedia article Complex analysis.
Sources
- Ablowitz, M. J. & A. S. Fokas, Complex Variables: Introduction and Applications (Cambridge, 2003).
- Ahlfors, L., Complex Analysis (McGraw-Hill, 1953).
- Cartan, H., Théorie élémentaire des fonctions analytiques d'une ou plusieurs variables complexes. (Hermann, 1961). English translation, Elementary Theory of Analytic Functions of One or Several Complex Variables. (Addison-Wesley, 1963).
- Carathéodory, C., Funktionentheorie. (Birkhäuser, 1950). English translation, Theory of Functions of a Complex Variable (Chelsea, 1954). [2 volumes.]
- Carrier, G. F., M. Krook, & C. E. Pearson, Functions of a Complex Variable: Theory and Technique. (McGraw-Hill, 1966).
- Conway, J. B., Functions of One Complex Variable. (Springer, 1973).
- Fisher, S., Complex Variables. (Wadsworth & Brooks/Cole, 1990).
- Forsyth, A., Theory of Functions of a Complex Variable (Cambridge, 1893).
- Freitag, E. & R. Busam, Funktionentheorie. (Springer, 1995). English translation, Complex Analysis. (Springer, 2005).
- Goursat, E., Cours d'analyse mathématique, tome 2. (Gauthier-Villars, 1905). English translation, A course of mathematical analysis, vol. 2, part 1: Functions of a complex variable. (Ginn, 1916).
- Henrici, P., Applied and Computational Complex Analysis (Wiley). [Three volumes: 1974, 1977, 1986.]
- Kreyszig, E., Advanced Engineering Mathematics. (Wiley, 1962).
- Lavrentyev, M. & B. Shabat, Методы теории функций комплексного переменного. (Methods of the Theory of Functions of a Complex Variable). (1951, in Russian).
- Markushevich, A. I., Theory of Functions of a Complex Variable, (Prentice-Hall, 1965). [Three volumes.]
- Marsden & Hoffman, Basic Complex Analysis. (Freeman, 1973).
- Needham, T., Visual Complex Analysis. (Oxford, 1997). http://usf.usfca.edu/vca/
- Remmert, R., Theory of Complex Functions. (Springer, 1990).
- Rudin, W., Real and Complex Analysis. (McGraw-Hill, 1966).
- Shaw, W. T., Complex Analysis with Mathematica (Cambridge, 2006).
- Stein, E. & R. Shakarchi, Complex Analysis. (Princeton, 2003).
- Sveshnikov, A. G. & A. N. Tikhonov, Теория функций комплексной переменной. (Nauka, 1967). English translation, The Theory Of Functions Of A Complex Variable (MIR, 1978).
- Titchmarsh, E. C., The Theory of Functions. (Oxford, 1932).
- Wegert, E., Visual Complex Functions. (Birkhäuser, 2012).
- Whittaker, E. T. & G. N. Watson, A Course of Modern Analysis. (Cambridge, 1902). 3rd ed. (1920)