Algebra: Polynomials, Galois Theory and Applications

Book Name: Algebra: Polynomials, Galois Theory and Applications
Author: Frédéric Butin
Publisher: Dover Publications
ISBN-10: 0486810151,9780486810157
Year: 2017
Pages: 288
Language: English
File size: 23 Mb
File format: PDF

Algebra: Polynomials, Galois Theory and Applications Pdf Book Description:

Suitable for advanced undergraduates and graduate students in math and computer science, that exact, self indulgent remedy of Galois theory includes comprehensive evidence and total solutions to exercises. Originally published in French Algèbre — Polynômes, théorie p Galois et applications informatiques, this 2017 Dover Aurora variant marks the quantity’s first English-language book. The three-part treatment starts by offering the important introduction to Galois theory. The next part is dedicated to the algebraic, normal, and separable Galois extensions which constitute the middle of the concept and also examines abelian, cyclic, cyclotomic, and extensions that are revolutionary.

This section empowers readers to get a detailed comprehension of the Galois group of a polynomial. The next element deals with applications of Galois theory, such as excellent talks of several significant real-world applications of those notions, such as cryptography and error-control programming concept. Symbolic computation through the Maple computer algebra program is integrated through the text (although other applications of symbolic computation might be used as well), together with a high number of quite interesting exercises with complete solutions.