A Classical Introduction to Galois Theory free ebook download.

Home : Book details

A Classical Introduction to Galois Theory free ebook download

Category:
Mathematics

Views: 267
Likes: 271

Catalogue

Author(s):	Stephen C. Newman

Date:	2017	Format:	PDF	Language:	English	ISBN/ASIN:	1118091396
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	1/22/2019 1:12:18 AM

To download click on link in the Links Table below

Description: Click to see full description

1118091396 PDF
Explore the foundations and modern applications of Galois theory

Galois theory is widely regarded as one of the most elegant areas of mathematics. A Classical Introduction to Galois Theory develops the topic from a historical perspective, with an emphasis on the solvability of polynomials by radicals. The book provides a gradual transition from the computational methods typical of early literature on the subject to the more abstract approach that characterizes most contemporary expositions.

The author provides an easily-accessible presentation of fundamental notions such as roots of unity, minimal polynomials, primitive elements, radical extensions, fixed fields, groups of automorphisms, and solvable series. As a result, their role in modern treatments of Galois theory is clearly illuminated for readers. Classical theorems by Abel, Galois, Gauss, Kronecker, Lagrange, and Ruffini are presented, and the power of Galois theory as both a theoretical and computational tool is illustrated through:

A study of the solvability of polynomials of prime degree
Development of the theory of periods of roots of unity
Derivation of the classical formulas for solving general quadratic, cubic, and quartic polynomials by radicals

Throughout the book, key theorems are proved in two ways, once using a classical approach and then again utilizing modern methods. Numerous worked examples showcase the discussed techniques, and background material on groups and fields is provided, supplying readers with a self-contained discussion of the topic.

A Classical Introduction to Galois Theory is an excellent resource for courses on abstract algebra at the upper-undergraduate level. The book is also appealing to anyone interested in understanding the origins of Galois theory, why it was created, and how it has evolved into the discipline it is today.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2397694	Book	http://www.nitroflare.com/view/81F8700F9...		4.50	gestalt

Tags: Classical Galois Introduction Theory

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: