Workshop material prepared for IV Nordic GeoGebra Conference, 20.-22. September, Copenhagen, Denmark.
During this workshop we will discuss ways to use GeoGebra for visualizing complex variable. We will try to solve some tasks from Tristan Needham’s book ”Visual Complex Analysis” and try to give some visual ”proof’s”. Willing to do so we will have to use spreadsheet, locus and other tools, thus extending our knowledge of GeoGebra. Workshop’s target is intermediate GeoGebra user willing to expand knowledge of ”advanced” GeoGebra techniques.
I highly encourage everyone interested in complex variable to read Tristan Needham „Visual Complex Analysis” and try to solve problems with or without aid of GeoGebra. I hope that in this workshop we will manage to get a feeling of complex functions and as a final point understand how complex integration works. It is a common misconception that complex integration can't be visualized, and using Tristan Needham's ideas we will try to explore this idea. It's a pity that we don't have a lot of time, thus we will skip a lot of important information and construct only some graphs.
All information here is prepared only as supplementary for workshop, thus You will find no or just some explanations what constructions actually mean and how they where made. Other necessary info will be provided during the workshop. During this course we will use GeoGebra 4.2, but at least for Mobius transformations beta version with 3D capabilities can be a great tool (we will exclude it this time).
Guide how to explore complex integration with GeoGebra can be found here: http://goo.gl/1aToaT
Publication with a little bit different approach can be found here: http://ggijro1.files.wordpress.com/2013/10/visualizing_complex_integral_final1.pdf
You can find all GeoGebra constructions in geogebratube: http://www.geogebratube.org/collection/show/id/5261
By Rokas Tamošiūnas (email@example.com)