LEADER 03690nam 22007335 450 001 9910728949903321 005 20240116160735.0 010 $a981-9901-47-2 024 7 $a10.1007/978-981-99-0147-0 035 $a(MiAaPQ)EBC7254945 035 $a(Au-PeEL)EBL7254945 035 $a(OCoLC)1381094167 035 $a(DE-He213)978-981-99-0147-0 035 $a(BIP)087248527 035 $a(PPN)270618783 035 $a(CKB)26815437700041 035 $a(EXLCZ)9926815437700041 100 $a20230531d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Gentle Introduction to Group Theory /$fby Bana Al Subaiei, Muneerah Al Nuwairan 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (429 pages) 311 08$aPrint version: Al Subaiei, Bana A Gentle Introduction to Group Theory Singapore : Springer,c2023 9789819901463 320 $aIncludes bibliographical references and index. 327 $aBackground Results in Set Theory -- Algebraic Operations on Integers -- The Integers Modulo -- Semigroups -- Groups -- The Symmetric Group -- Subgroups -- Groups Homomorphisms and Isomorphic Groups -- Classification of Finite Abelian Groups -- Group Theory and SageMath. 330 $aThe book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics. The text is broadly divided into three parts. The first part establishes the prerequisite knowledge required to study group theory. This includes topics in set theory, geometry, and number theory. Each of the chapters ends with solved and unsolved exercises relating to the topic. By doing this, the authors hope to fill the gaps between all the branches in mathematics that are linked to group theory. The second part is the core of the book which discusses topics on semigroups, groups, symmetric groups, subgroups, homomorphisms, isomorphism, and Abelian groups. The last part of the book introduces SAGE, a mathematical software that is used to solve group theory problems. Here, most of the important commands in SAGE are explained, and many examples and exercises are provided. 606 $aGroup theory 606 $aAlgebra 606 $aComputer software 606 $aSet theory 606 $aGroup Theory and Generalizations 606 $aAlgebra 606 $aMathematical Software 606 $aSet Theory 606 $aTeoria de grups$2thub 608 $aLlibres electrònics$2thub 610 $aAlgebra 610 $aLogic, Symbolic And Mathematical 610 $aAlgebra, Abstract 610 $aMathematics 615 0$aGroup theory. 615 0$aAlgebra. 615 0$aComputer software. 615 0$aSet theory. 615 14$aGroup Theory and Generalizations. 615 24$aAlgebra. 615 24$aMathematical Software. 615 24$aSet Theory. 615 7$aTeoria de grups 676 $a512.2 700 $aAl Subaiei$b Bana$01363629 702 $aAl Nuwairan$b Muneerah 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910728949903321 996 $aA Gentle Introduction to Group Theory$93384474 997 $aUNINA