Beyond the Quartic Equation

Overview

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-specialist and even to mathematically oriented readers who are not professional mathematicians.
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Very good 1 volume, please be aware of language, air mail shipment from Germany within 2-6 weeks, we deliver to any country-please ask us to enable delivery to your country! ... *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Overview

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-specialist and even to mathematically oriented readers who are not professional mathematicians.
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Editorial Reviews

From the Publisher

From the reviews:

"If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." —New Scientist

This book presents for the first time a complete algorithm for finding the zeros of any quintic equation based on the ideas of Kiepert. For the sake of completeness, there are chapters on group theory and symmetry, the theory of Galois and elliptic functions. The book ends with considerations on higher degree polynomial equations. —Numerical Algorithms Journal

“The idea of the book at hand is the development of a practicable algorithm to solve quintic equations by means of elliptic and theta functions. … the book can be recommended to anyone interested in the solution of quintic equations.” (Helmut Koch, Zentralblatt MATH, Vol. 1177, 2010)

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Product Details

  • ISBN-13: 9783764337766
  • Publisher: Birkhauser Verlag
  • Publication date: 1/1/1996

Table of Contents

Preface
1 Introduction 1
2 Group Theory and Symmetry 6
3 The Symmetry of Equations: Galois Theory and Tschrinhausen Transformations 34
4 Elliptic Functions 56
5 Algebraic Equations Soluble by Radicals 82
6 The Kiepert Alogarithm for Roots of the General Quintic Equation 95
7 The Methods of Hermite and Gordan for Solving the General Quintic Eqution 128
8 Beyond the Quintic Equation 139
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