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Undergraduate algebraa unified appro...

Bresar, Matej.

Undergraduate algebraa unified approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Undergraduate algebraby Matej Bresar.
Reminder of title:	a unified approach /
Author:	Bresar, Matej.
Published:	Cham :Springer International Publishing :2019.
Description:	xxiv, 316 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Algebra.
Online resource:	https://doi.org/10.1007/978-3-030-14053-3
ISBN:	9783030140533$q(electronic bk.)

Undergraduate algebraa unified approach /
Bresar, Matej.

Undergraduate algebraa unified approach /[electronic resource] :by Matej Bresar. - Cham :Springer International Publishing :2019. - xxiv, 316 p. :ill., digital ;24 cm. - Springer undergraduate mathematics series,1615-2085. - Springer undergraduate mathematics series..

Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index.

This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.

ISBN: 9783030140533$q(electronic bk.)

Standard No.: 10.1007/978-3-030-14053-3doiSubjects--Topical Terms:

188312
Algebra.

LC Class. No.: QA152.3 / .B743 2019

Dewey Class. No.: 512

Undergraduate algebraa unified approach /
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100 1 $a Bresar, Matej. $3 701783
245 1 0 $a Undergraduate algebra $h [electronic resource] : $b a unified approach / $c by Matej Bresar.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxiv, 316 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 1615-2085
505 0 $a Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index.
520 $a This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.
650 0 $a Algebra. $3 188312
650 1 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Field Theory and Polynomials. $3 274058
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Linear Algebra. $3 821215
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Springer undergraduate mathematics series. $3 544774
856 4 0 $u https://doi.org/10.1007/978-3-030-14053-3
950 $a Mathematics and Statistics (Springer-11649)