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Galois theory and advanced linear al...

Sinha, Rajnikant.

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Galois theory and advanced linear algebra

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Galois theory and advanced linear algebra/ by Rajnikant Sinha.
作者:	Sinha, Rajnikant.
出版者:	Singapore :Springer Singapore : : 2020.,
面頁冊數:	ix, 351 p. :ill., digital ;24 cm.
內容註:	Galois Theory I -- Galois Theory II -- Linear Transformations -- Sylvester's Law of Inertia -- Bibliography.
Contained By:	Springer eBooks
標題:	Galois theory. -
電子資源:	https://doi.org/10.1007/978-981-13-9849-0
ISBN:	9789811398490

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

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

523821
Galois theory.

LC Class. No.: QA214 / .S564 2020

Dewey Class. No.: 512.32

Galois theory and advanced linear algebra
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245 1 0 $a Galois theory and advanced linear algebra $h [electronic resource] / $c by Rajnikant Sinha.
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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.
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650 0 $a Algebras, Linear. $3 521915
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650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
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