Complex Analysis  


  1. Ablowitz, M. J., Fokas, A. S. (2003). Complex variables: introduction and applications (2nd ed). Cambridge University Press.
  2. Brown, J. W., Churchill, R. V. (2009). Complex Variables and Applications. 8th Edition. New York: McGraw-Hill Higher Education.
  3. Crone, L. (n.d.) Color graphs of complex functions.
  4. Farris, F. (1997). Visualizing complex-valued functions in the plane.
  5. Farris, F. (1998). Review of Visual Complex Analysis. By Tristan Needham. The American Mathematical Monthly, 105(6), 570-576.
  6. Farris, F. A. (2017). Domain Coloring and the Argument Principle. PRIMUS 27:8-9, 827-844, DOI: 10.1080/10511970.2016.1234526
  7. Liste, R. L. (2014). El color dinámico de GeoGebra. Gaceta De La Real Sociedad Matematica Española, 17, 525–547, Madrid.
  8. Lundmark, H. (2004). Visualizing complex analytic functions using domain coloring.
  9. Needham, T. (1997). Visual Complex Analysis. Oxford University Press, Oxford.
  10. Marsden, J. E. & Hoffman, M. J. (1987) Basic Complex Analysis. (2nd ed.) W. H. Freeman and Co, New York.
  11. Poelke, K. & Polthier, K. (2012) Domain coloring of complex functions: An implementation-oriented introduction. IEEE Computer Graphics Math & Applications 32(5), pp. 90-97, DOI: 10.1109/MCG.2012.100
  12. Ponce Campuzano, J. C. (2019) The use of phase portraits to visualize and investigate isolated singular points of complex functions Journal International Journal of Mathematical Education in Science and Technology. 50(7), pp. 999-1010, DOI: 10.1080/0020739X.2019.1656829
  13. Thaller, B. (1998). Visualization of complex functions, Mathematica J., Vol. 7, issue 2.
  14. Farris, F. A. (1998). Review of Visual Complex Analysis. By Tristan Needham. American Mathematical Monthly 105 (1998), 570–576.
  15. Wahlström, D. (2018). The Great Picard Theorem. Bachelor's Thesis. Sweeden: UMEÅ University.
  16. Wegert, E. (2010). Phase Diagrams of Meromorphic Functions. Comput. Methods Funct. Theory 10, 639-661.
  17. Wegert, E. (2012). Visual Complex Functions: An introduction with phase portraits. New York: Springer Basel.
  18. Wegert, E. (2016). Visual exploration of complex functions. In T. Qian and L. R. Rodino (eds.), Mathematical analysis, probability and applications – Plenary Lectures SPMS (Vol. 177. pp. 253–279). Switzerland: Springer International Publishing.
  19. Wegert, E. & Semmler, G. (2011). Phase plots of complex functions: a journey in illustration. Notices Amer. Math. Soc. 58, 768-780.
  20. Wikipedia: Domain Coloring

That's it! If you found this book useful and help you in your journey to understand Complex Analysis, please let me know! You can also support this project with a direct donation. Your support will be appreciated!

❤️ Donate