Visualizing complex solutions of polynomials

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dc.contributor.advisorOdell, E. (Edward)en
dc.contributor.committeeMemberDaniels, Marken
dc.creatorPerez, Alicia Moniqueen
dc.date.accessioned2012-11-27T20:13:00Zen
dc.date.accessioned2017-05-11T22:30:06Z
dc.date.available2012-11-27T20:13:00Zen
dc.date.available2017-05-11T22:30:06Z
dc.date.issued2012-08en
dc.date.submittedAugust 2012en
dc.date.updated2012-11-27T20:13:07Zen
dc.descriptiontexten
dc.description.abstractThis 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.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.slug2152/ETD-UT-2012-08-5996en
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2012-08-5996en
dc.language.isoengen
dc.subjectPolynomialen
dc.subjectRooten
dc.subjectZeroen
dc.subjectSolutionen
dc.subjectComplexen
dc.subjectVisualen
dc.subjectGraphen
dc.subjectModulus surfaceen
dc.subjectVector fielden
dc.titleVisualizing complex solutions of polynomialsen
dc.type.genrethesisen

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University of Texas at Austin