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Complex Power Series--a Vector Field Visualization

A. Gluchoff
Journal / Anthology

Mathematics Magazine
Year: 1993
Volume: 66
Issue: 3
Page range: 189-191

How can we visualize the behavior of complex power series and convey to students a clear understanding of convergence and divergence? In this note we describe a visualization technique based on the use of Pólya vector fields, as introduced by Pólya and Latta [3] and further developed by Braden [1], [2].

*Mathematics > Calculus and Analysis > Series