Overview
- An affordable softcover edition of a classic text
- Complete algorithm for roots of the general quintic equation
- Key ideas accessible to non-specialists
- Indroductory chapter covers group theory and symmetry, Galois theory, Tschirnhausen transformations, and some elementary properties of an elliptic function
- Discussion of algorithms for roots of general equation of degrees higher than five
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (8 chapters)
Keywords
About this book
Reviews
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)
Bibliographic Information
Book Title: Beyond the Quartic Equation
Authors: R. Bruce King
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-4849-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Boston 1996
Softcover ISBN: 978-0-8176-4836-7Published: 13 November 2008
eBook ISBN: 978-0-8176-4849-7Published: 16 January 2009
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: VIII, 150
Number of Illustrations: 16 b/w illustrations
Additional Information: Originally published as a monograph
Topics: Algebra