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Beyond the Quartic Equation (Modern Birkhauser Classics)

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Beyond the Quartic Equation (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

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

Synopsis:

This book presents a 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.

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.

Product Details

ISBN:
9780817648367
Author:
King, R. Bruce
Publisher:
Birkhauser
Subject:
Algebra - Elementary
Subject:
Algebra - General
Subject:
Quintic equations.
Subject:
Galois theory
Subject:
Mathematics
Subject:
Quartic Equation
Subject:
Tschirnhausen transformations
Subject:
elliptic function
Subject:
general quintic equation
Subject:
Group Theory
Subject:
Symmetry
Subject:
Algebra
Subject:
Mathematics - Algebra
Copyright:
Edition Description:
1st ed. 1996. 2nd printing
Series:
Modern Birkhäuser Classics
Publication Date:
20081113
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
158
Dimensions:
235 x 155 mm

Related Subjects

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Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Chemistry » Chemical Engineering
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General

Beyond the Quartic Equation (Modern Birkhauser Classics) New Trade Paper
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Product details 158 pages Birkhauser Boston - English 9780817648367 Reviews:
"Synopsis" by , This book presents a 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.
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