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Analytic Solutions to Algebraic Equations
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
1998 (English)Independent thesis Advanced level (degree of Master (One Year)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This report studies polynomial equations and how one solves them using only the coefficients of the polynomial. It examines why it is impossible to solve equations of degree greater than four using only radicals and how instead one can solve them using elliptic functions. Although the quintic equation is the main area of our investigation, we also present parts of the history of algebraic equations, Galois theory, and elliptic functions.

Place, publisher, year, edition, pages
1998. , 58 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 13
Keyword [en]
Algebraic equation, Elliptic function, Galois theory, Polynomial, Quintic equation Theta function, Tschirnhaus transformation, Weierstrass function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-127700ISRN: LiTH-MAT-EX--98/13--SEOAI: oai:DiVA.org:liu-127700DiVA: diva2:926660
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2016-05-09 Created: 2016-05-09 Last updated: 2017-08-30Bibliographically approved

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fulltext(342 kB)269 downloads
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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  • asciidoc
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