Complex Power Series--a Vector Field Visualization -- from Wolfram Library Archive

Title

Complex Power Series--a Vector Field Visualization

Author

A. Gluchoff

Journal / Anthology

Mathematics Magazine

Year:

1993

Volume:

Issue:

Page range:

189-191

Description

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].

Subject

Mathematics > Calculus and Analysis > Series

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