ENGLISH

Beyond the Quartic Equation

By R. Bruce King (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
0817648364, 9780817648367, 9780817648497
DOI
10.1007/978-0-8176-4849-7
LCC
QA215 .K48 2009
Open Library ID
OL23053551M
Language
english
Format
PDF
Filesize
8 MB (8864823 bytes)
Series
Modern Birkhäuser Classics
Edition
1
Pages
150\159
Scanned
no
Time added
2010-02-18 13:16:04
Algebra

Description

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

Similar books