TY  - BOOK
AU  - Tignol,Jean-Pierre
TI  - Galois' theory of algebraic equations 
SN  - 9780000990112
U1  - 512.623.3 
PY  - 2021///
CY  - New Jersey
PB  - World Scientific
KW  - Equations, Theory of
KW  - Galois theory
N1  - Originally published in English in 1988 jointly by: Harlow, Essex, England : Longman Scientific & Technical; and, New York : Wiley; Includes bibliographical references (pages 299-304) and index; Upper level undergraduates, graduate students and mathematicians in algebra
N2  - The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field".

A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.

In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory
UR  - https://www.worldscientific.com/doi/reader/10.1142/9789814704700_fmatter
UR  - https://www.goodreads.com/book/show/69530062-galois-theory-of-algebraic-equations-2nd-edition#CommunityReviews
ER  -