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Galois theory and advanced linear al...

Sinha, Rajnikant.

Galois theory and advanced linear algebra

Record Type:	Electronic resources : Monograph/item
Title/Author:	Galois theory and advanced linear algebraby Rajnikant Sinha.
Author:	Sinha, Rajnikant.
Published:	Singapore :Springer Singapore :2020.
Description:	ix, 351 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Galois theory.
Online resource:	https://doi.org/10.1007/978-981-13-9849-0
ISBN:	9789811398490$q(electronic bk.)

Galois theory and advanced linear algebra
Sinha, Rajnikant.

Galois theory and advanced linear algebra[electronic resource] /by Rajnikant Sinha. - Singapore :Springer Singapore :2020. - ix, 351 p. :ill., digital ;24 cm.

Galois Theory I -- Galois Theory II -- Linear Transformations -- Sylvester's Law of Inertia -- Bibliography.

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley-Hamilton theorem, Galois groups, Sylvester's law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.

ISBN: 9789811398490$q(electronic bk.)

Standard No.: 10.1007/978-981-13-9849-0doiSubjects--Topical Terms:

190982
Galois theory.

LC Class. No.: QA214 / .S564 2020

Dewey Class. No.: 512.32

Galois theory and advanced linear algebra
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100 1 $a Sinha, Rajnikant. $3 702916
245 1 0 $a Galois theory and advanced linear algebra $h [electronic resource] / $c by Rajnikant Sinha.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a ix, 351 p. : $b ill., digital ; $c 24 cm.
505 0 $a Galois Theory I -- Galois Theory II -- Linear Transformations -- Sylvester's Law of Inertia -- Bibliography.
520 $a This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley-Hamilton theorem, Galois groups, Sylvester's law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.
650 0 $a Galois theory. $3 190982
650 0 $a Algebras, Linear. $3 183087
650 1 4 $a Linear Algebra. $3 821215
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-13-9849-0
950 $a Mathematics and Statistics (Springer-11649)