Visualizing complex solutions of polynomials
| dc.contributor.advisor | Odell, E. (Edward) | en |
| dc.contributor.committeeMember | Daniels, Mark | en |
| dc.creator | Perez, Alicia Monique | en |
| dc.date.accessioned | 2012-11-27T20:13:00Z | en |
| dc.date.available | 2012-11-27T20:13:00Z | en |
| dc.date.issued | 2012-08 | en |
| dc.date.submitted | August 2012 | en |
| dc.date.updated | 2012-11-27T20:13:07Z | en |
| dc.description | text | en |
| dc.description.abstract | This report discusses two methods of visualizing complex solutions of polynomials: modulus surfaces and vector fields. Both provide valuable information about the location of complex solutions and their multiplicity. A sketch of a proof of The Fundamental Theorem of Algebra utilizing modulus surfaces and complex analysis is also included. | en |
| dc.description.department | Mathematics | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.slug | 2152/ETD-UT-2012-08-5996 | en |
| dc.identifier.uri | http://hdl.handle.net/2152/ETD-UT-2012-08-5996 | en |
| dc.language.iso | eng | en |
| dc.subject | Polynomial | en |
| dc.subject | Root | en |
| dc.subject | Zero | en |
| dc.subject | Solution | en |
| dc.subject | Complex | en |
| dc.subject | Visual | en |
| dc.subject | Graph | en |
| dc.subject | Modulus surface | en |
| dc.subject | Vector field | en |
| dc.title | Visualizing complex solutions of polynomials | en |
| dc.type.genre | thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | University of Texas at Austin | en |
| thesis.degree.level | Masters | en |
| thesis.degree.name | Master of Arts | en |