2019 Icerm Illustrating Mathematics
Steve Trettel
Artists
Steve Trettel
Graduate Student
Math Department, UC Santa Barbara
Santa Barbara, California, USA
Statement
I work with Mathematica and other software to model objects in low dimensional, geometric topology. I am particularly interested in modeling perspectively correct views of the interior of homogeneous manifolds, the developing maps of projective structures on surfaces, and animations for teaching mathematics courses.
Artworks
![Image for entry 'Radius of Convergence'](/_next/image?url=https%3A%2F%2Fsubmit.bridgesmathart.org%2Frails%2Factive_storage%2Fblobs%2Fproxy%2FeyJfcmFpbHMiOnsiZGF0YSI6NDEwNywicHVyIjoiYmxvYl9pZCJ9fQ%3D%3D--69796745733e2ad65e33726925ffac0141a3acef%2Fradius_convergence_icerm.jpg&w=1536&q=75)
This is a video of successive approximations of the rational function z/(z+1) by truncated Taylor series, as the base point moves about the plane. This video was produced to accompany a complex analysis course, and show visually the connection between the basepoint, radius of convergence, and location of singularities.