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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"tschirnhaus transformation"" "subject:"tschirnhausen transformation""

1

Analytic Solutions to Algebraic Equations

Johansson, Tomas January 1998 (has links)
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.
Algebraic equation
Elliptic function
Galois theory
Polynomial
Quintic equation Theta function
Tschirnhaus transformation
Weierstrass function
Mathematics
Matematik

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