Curves: the history and development of solutions and applications of higher order polynominals

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dc.contributor.authorBlackburn, Danaen_US
dc.contributor.committeeChairNavarra-Madsen, Junalyn
dc.contributor.committeeMemberEdwards, Don
dc.contributor.committeeMemberMarshall, David
dc.date.accessioned2015-03-24T19:00:18Z
dc.date.available2015-03-24T19:00:18Z
dc.date.issued26/11/2014en_US
dc.description.abstractThe purpose of this thesis is to explore algebraic curves, from definition and origination to development and technological / scientific application. A broad and oft-underappreciated topic, I will begin by exploring algebraic curves based on their degrees. Each chapter of my paper will be dedicated to an algebraic degree, beginning with 1st degree and concluding with 5th degree polynomials. In each chapter, we will look at the history and timeline of mathematical methods associated with that particular degree, along with a biography of major players in its discovery and subsequent achievements. The treatment of each degree will finalize with a look at technological and scientific achievements that can be, at least in part, attributed to the mathematics behind it. We will even observe that the rate of change of our technological growth almost seems to model the numeric growth of our topic; i.e., what began as a slow, almost constant rate of change (degree 1) with ancient societies has accelerated through the centuries (and indeed, millennia) to an exponential rate (degree 3). My work will conclude with a look at what potentially lies before us if our technology continues to grow at this rate.en_US
dc.identifier.urihttp://hdl.handle.net/11274/4896
dc.language.isoen_USen_US
dc.subjectMathematicsen_US
dc.subjectHistory of solutions
dc.titleCurves: the history and development of solutions and applications of higher order polynominalsen_US
dc.typeThesisen_US
thesis.degree.collegeCollege of Arts and Sciences
thesis.degree.departmentDepartment of Mathematics and Computer Sciences
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Woman's University
thesis.degree.levelMasters
thesis.degree.nameMasters of Science

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