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Beyond the quartic equation /

The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The...

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Bibliographic Details
Main Author: King, R. Bruce
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston : Birkhäuser, [2009]
Series:Modern Birkhäuser classics.
Subjects:
Quintic equations.
Mathematics.
MATHEMATICS > Algebra > Elementary.
Algebraische Gleichung > Grad 5 > Galois-Theorie > Gruppentheorie > Elliptische Funktion.
Galois-Theorie > Gruppentheorie > Elliptische Funktion > Algebraische Gleichung > Grad 5.
Gruppentheorie > Galois-Theorie > Elliptische Funktion > Algebraische Gleichung > Grad 5.
Elliptische Funktion > Gruppentheorie > Galois-Theorie > Algebraische Gleichung > Grad 5.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Introduction
  • Group Theory and Symmetry
  • The Symmetry of Equations: Galois Theory and Tschirnhausen Transformations
  • Elliptic Functions
  • Algebraic Equations Soluble by Radicals
  • The Kiepert Algorithm for Roots of the General Quintic Equation
  • The Methods of Hermite and Gordan for Solving the General Quintic Equation
  • Beyond the Quintic Equation.