Beyond the Quartic Equation
Beyond the Quartic Equation (Modern Birkhäuser Classics)
R. Bruce King,
Publisher: Birkhäuser Boston
ISBN: 0817648364
DDC: 512.9422
Edition: Paperback; 2008-11-13
Summary:
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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