BCME E20:Visualizing Complex Analysis with Mapping Diagrams

E20 - Making Sense of Complex Analysis with Mapping Diagrams: A New Visualization Tool Enhanced by Technology (GeoGebra) Links: http://users.humboldt.edu/flashman/Presentations/BCME/BCME.LINKS.html Understanding functions is an important challenge in studying complex numbers and complex analysis. Mapping diagrams, frequently coupled with tables, are a valuable alternative to graphs for visualizing real variable functions and without a comparable alternative for complex variables. The session will start with basics of mapping diagrams to visualise real and complex linear and linear fractional functions. Participants will take a hands on mapping diagram tour using GeoGebra through visualisations of complex functions and integration theory and practice, concluding with visualisations to make sense of numerical methods for estimating integrals, Cauchy's Theorem and the Cauchy Integral Formula. Check for Complex Analysis 2nd Ed, Ian Stewart and David Tall http://www.cambridge.org/gb/academic/subjects/mathematics/real-and-complex-analysis/complex-analysis-2nd-edition#tO6bwJtRzAdRMS7V.99, to appear in August 2018.
BCME E20:Visualizing Complex Analysis with Mapping Diagrams