Galois' Theory Of Algebraic Equations
This book will appeal to both undergraduate and graduate students in mathematics and the history of science, and also to teachers and mathematicians who wish to obtain a historical perspective of the field. The text has been designed to be self-contained, but some familiarity with basic mathematical structures and with some elementary notions of linear algebra is desirable for a good understanding of the technical discussions in the later chapters.
Contents: Quadratic Equations; Cubic Equations; Quartic Equations; The Creation of Polynomials; A Modern Approach to Polynomials; Alternative Methods for Cubic and Quartic Equations; Roots of Unity; Symmetric Functions; The Fundamental Theorem of Algebra; Lagrange; Vandermande; Gauss on Cyclotomic Equations; Ruffini and Abel on General Equations; Galois.
Readership: Upper level undergraduates, graduate students and mathematicians in algebra.
Title: Galois' Theory Of Algebraic Equations
Author: J P Tignol