LEADER 03639nam 2200589 450 001 9910807146303321 005 20230807212114.0 010 $a1-118-49775-9 010 $a1-118-49776-7 035 $a(CKB)3710000000277344 035 $a(EBL)1834778 035 $a(SSID)ssj0001412632 035 $a(PQKBManifestationID)11807981 035 $a(PQKBTitleCode)TC0001412632 035 $a(PQKBWorkID)11415157 035 $a(PQKB)11486178 035 $a(MiAaPQ)EBC1834778 035 $a(DLC) 2014023084 035 $a(Au-PeEL)EBL1834778 035 $a(CaPaEBR)ebr10976521 035 $a(OCoLC)895431394 035 $a(EXLCZ)993710000000277344 100 $a20141118h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to essential algebraic structures /$fMartyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin 210 1$aHoboken, New Jersey :$cWiley,$d2015. 210 4$dİ2015 215 $a1 online resource (243 p.) 300 $aIncludes index. 311 $a1-118-45982-2 320 $aIncludes bibliographical references and index. 327 $aAn Introduction to Essential Algebraic Structures; Copyright; Contents; Preface; Chapter 1 Sets; 1.1 Operations on Sets; Exercise Set 1.1; 1.2 Set Mappings; Exercise Set 1.2; 1.3 Products of Mappings and Permutations; Exercise Set 1.3; 1.4 Operations on Matrices; Exercise Set 1.4; 1.5 Binary Algebraic Operations and Equivalence Relations; Exercise Set 1.5; Chapter 2 Numbers; 2.1 Some Properties of Integers: Mathematical Induction; Exercise Set 2.1; 2.2 Divisibility; Exercise Set 2.2; 2.3 Prime Factorization: The Fundamental Theorem of Arithmetic; Exercise Set 2.3 327 $a2.4 Rational Numbers, Irrational Numbers, and Real NumbersExercise Set 2.4; Chapter 3 Groups; 3.1 Groups and Subgroups; Exercise Set 3.1; 3.2 Cosets and Normal Subgroups; Exercise Set 3.2; 3.3 Factor Groups and Homomorphisms; Exercise Set 3.3; Chapter 4 Rings; 4.1 Rings, Subrings, Associative Rings; Exercise Set 4.1; 4.2 Rings of Polynomials; Exercise Set 4.2; 4.3 Ideals and Quotient Rings; Exercise Set 4.3; 4.4 Homomorphisms of Rings; Exercise Set 4.4; Chapter 5 Fields; 5.1 Fields: Basic Properties and Examples; Exercise Set 5.1; 5.2 Some Field Extensions; Exercise Set 5.2 327 $a5.3 Fields of Algebraic NumbersExercise Set 5.3; Hints and Answers to Selected Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Index; End User License Agreement 330 $a A reader-friendly introduction to modern algebra with important examples from various areas of mathematicsFeaturing a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract alge 606 $aOrdered algebraic structures 615 0$aOrdered algebraic structures. 676 $a511.3/3 700 $aDixon$b Martyn R$g(Martyn Russell),$f1955-$062617 702 $aKurdachenko$b Leonid A.$f1949- 702 $aSubbotin$b Igor Ya.$f1950- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910807146303321 996 $aAn introduction to essential algebraic structures$93951980 997 $aUNINA