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A first course in group theory

Davvaz, Bijan.

A first course in group theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A first course in group theoryby Bijan Davvaz.
Author:	Davvaz, Bijan.
Published:	Singapore :Springer Singapore :2021.
Description:	xv, 291 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Group theory.
Online resource:	https://doi.org/10.1007/978-981-16-6365-9
ISBN:	9789811663659$q(electronic bk.)

A first course in group theory
Davvaz, Bijan.

A first course in group theory[electronic resource] /by Bijan Davvaz. - Singapore :Springer Singapore :2021. - xv, 291 p. :ill., digital ;24 cm.

Preliminaries Notions -- Symmetries of Shapes -- Binary Operations -- Cyclic Groups -- Inverse Functions and Permutations -- Group of Arithmetical Functions -- Matrix Groups -- Translation and Scaling Matrices -- Cosets of Subgroups and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Some Special Subgroups -- Commutators and Derived Subgroups -- Maximal Subgroups -- Group Homomorphisms -- Homomorphisms and Their Properties -- Cayley's Theorem -- Another View of Linear Groups.

This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange's theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.

ISBN: 9789811663659$q(electronic bk.)

Standard No.: 10.1007/978-981-16-6365-9doiSubjects--Topical Terms:

189579
Group theory.

LC Class. No.: QA174.2 / .D38 2021

Dewey Class. No.: 512.2

A first course in group theory
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245 1 2 $a A first course in group theory $h [electronic resource] / $c by Bijan Davvaz.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a xv, 291 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preliminaries Notions -- Symmetries of Shapes -- Binary Operations -- Cyclic Groups -- Inverse Functions and Permutations -- Group of Arithmetical Functions -- Matrix Groups -- Translation and Scaling Matrices -- Cosets of Subgroups and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Some Special Subgroups -- Commutators and Derived Subgroups -- Maximal Subgroups -- Group Homomorphisms -- Homomorphisms and Their Properties -- Cayley's Theorem -- Another View of Linear Groups.
520 $a This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange's theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
650 0 $a Group theory. $3 189579
650 1 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Number Theory. $3 274059
650 2 4 $a Linear Algebra. $3 821215
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-16-6365-9
950 $a Mathematics and Statistics (SpringerNature-11649)