Seeing a Fundamental Theorem

Year: 2014 Authors: Bruce Torrence

Core claim

Contour plots of |p(z)|, especially those through critical points, reveal ascent and descent sectors that make the Fundamental Theorem of Algebra a direct consequence.

Topics

Fundamental Theorem of Algebra, Geometric Modulus Principle, contour plots, critical points

Domains

complex polynomials, complex analysis, polynomial derivatives, modulus, mathematical visualization, data portraits, 2D contour drawing, 3D plotting

Methods

contour plotting, 3D modulus plots, superimposed images, geometric analysis

Media

computer-generated plots, figure images, transparent shading

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.