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- catalog contributor b10526265.
- catalog created "c1996.".
- catalog date "1996".
- catalog date "c1996.".
- catalog dateCopyrighted "c1996.".
- catalog description "1. Introduction -- 2. Group theory and symmetry -- The concept of groups -- Symmetry groups -- Regular polyhedra -- Permutation groups -- Polyhedral polynomials -- Transvectants of polyhedral polynomials -- 3. The symmetry of equations: Galois theory and Tschirnhausen transformations -- Rings, fields, and polynomials -- Galois theory: Solubility of algebraic equations by radicals -- Tschirnhausen transformations -- 4. Elliptic functions -- Elliptic functions by the generalization of radicals -- Elliptic functions as doubly periodic functions -- Theta functions -- Higher order theta functions -- 5. Algebraic equations soluble by radicals -- The quadratic and cubic equations -- The quartic equation -- Special quintic equations solvable by radicals -- 6. The Kiepert algorithm for roots of the general quintic equation -- Introduction -- The Tschirnhausen transformation of the general quintic to the principal quintic -- The Tschirnhausen transformation of the principal quintic to the Brioschi quintic -- Transformation of the Brioschi quintic to the Jacobi sextic -- Solutions of the Jacobi sextic with Weierstrass elliptic functions -- Evaluation of the Weierstrass elliptic functions using Genus 1 theta functions -- Evaluation of the periods of the elliptic functions corresponding to the Jacobi sextic -- Undoing the Tschirnhausen transformations -- 7. The methods of Hermite and Gordan for solving the general quintic equation -- Hermite's early work on the quintic equation -- Gordan's work on the quintic equation -- 8. Beyond the quintic equation -- The sextic equation -- The septic equation -- The general algebraic equation of any degree.".
- catalog description "Includes bibliographical references.".
- catalog extent "viii, 149 p. :".
- catalog hasFormat "Beyond the quartic equation.".
- catalog identifier "0817637761 (hc : acid-free paper)".
- catalog identifier "3764337761 (acid-free paper)".
- catalog isFormatOf "Beyond the quartic equation.".
- catalog issued "1996".
- catalog issued "c1996.".
- catalog language "eng".
- catalog publisher "Boston : Birkhäuser,".
- catalog relation "Beyond the quartic equation.".
- catalog subject "512.9/42 20".
- catalog subject "QA215 .K48 1996".
- catalog subject "Quintic equations.".
- catalog tableOfContents "1. Introduction -- 2. Group theory and symmetry -- The concept of groups -- Symmetry groups -- Regular polyhedra -- Permutation groups -- Polyhedral polynomials -- Transvectants of polyhedral polynomials -- 3. The symmetry of equations: Galois theory and Tschirnhausen transformations -- Rings, fields, and polynomials -- Galois theory: Solubility of algebraic equations by radicals -- Tschirnhausen transformations -- 4. Elliptic functions -- Elliptic functions by the generalization of radicals -- Elliptic functions as doubly periodic functions -- Theta functions -- Higher order theta functions -- 5. Algebraic equations soluble by radicals -- The quadratic and cubic equations -- The quartic equation -- Special quintic equations solvable by radicals -- 6. The Kiepert algorithm for roots of the general quintic equation -- Introduction -- The Tschirnhausen transformation of the general quintic to the principal quintic -- The Tschirnhausen transformation of the principal quintic to the Brioschi quintic -- Transformation of the Brioschi quintic to the Jacobi sextic -- Solutions of the Jacobi sextic with Weierstrass elliptic functions -- Evaluation of the Weierstrass elliptic functions using Genus 1 theta functions -- Evaluation of the periods of the elliptic functions corresponding to the Jacobi sextic -- Undoing the Tschirnhausen transformations -- 7. The methods of Hermite and Gordan for solving the general quintic equation -- Hermite's early work on the quintic equation -- Gordan's work on the quintic equation -- 8. Beyond the quintic equation -- The sextic equation -- The septic equation -- The general algebraic equation of any degree.".
- catalog title "Beyond the quartic equation / R. Bruce King.".
- catalog type "text".