R. Bruce King Beyond the Quartic Equation

ISBN 13: 9780817637767

Beyond the Quartic Equation

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9780817637767: Beyond the Quartic Equation
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Book by King R Bruce

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"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)

Reseña del editor:

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 book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included.

"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

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King, R. Bruce:
Verlag: Boston-Basel-Berlin, Birkhäuser, (1996)
ISBN 10: 0817637761 ISBN 13: 9780817637767
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Buchbeschreibung Boston-Basel-Berlin, Birkhäuser, 1996. Gr.-8°. ill. OPappe., Zustand: Gut. 149 Seiten., Text in Englisch. Der Einband etwas berieben, sonst gutes Exemplar. Sprache: Deutsch Gewicht in Gramm: 1001. Artikel-Nr. 63450

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