Galois Theory (Universitext)
Publisher: Springer | ISBN: 0387287256 | edition 2005 | PDF | 194 pages | 10,6 mb
Classical Galois
theory is a subject generally ac
knowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good
knowledge of linear algebra.
Key topics and features of this book:
Approaches Galois
theory from the linear algebra point of view, following Artin;
Develops the basic concepts and theorems of Galois
theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois
Theory;
Presents a number of applications of Galois
theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity;