LEADER 03902nam 22006975 450 001 9910484520203321 005 20200703052345.0 010 $a3-030-36156-X 024 7 $a10.1007/978-3-030-36156-3 035 $a(CKB)4100000010121965 035 $a(DE-He213)978-3-030-36156-3 035 $a(MiAaPQ)EBC6114350 035 $a(PPN)242845444 035 $a(EXLCZ)994100000010121965 100 $a20200129d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSelected Exercises in Algebra $eVolume 1 /$fby Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XVI, 240 p. 27 illus.) 225 1 $aLa Matematica per il 3+2,$x2038-5722 ;$v119 300 $aIncludes index. 311 $a3-030-36155-1 327 $a1 Theory review -- 1.1 Fundamentals -- 1.2 Combinatorics -- 1.3 Integers -- 1.4 Groups -- 1.5 Rings -- 1.6 Fields -- 2 Exercises -- 2.1 Sequences -- 2.2 Combinatorics -- 2.3 Modular arithmetic -- 2.4 Groups -- 2.5 Rings and Fields -- 3 Solutions -- 3.1Sequences -- 3.2 Combinatorics -- 3.3 Modular arithmetic -- 3.4 Groups -- 3.5 Rings and Fields. 330 $aThis book, the first of two volumes, contains over 250 selected exercises in Algebra which have featured as exam questions for the Arithmetic course taught by the authors at the University of Pisa. Each exercise is presented together with one or more solutions, carefully written with consistent language and notation. A distinguishing feature of this book is the fact that each exercise is unique and requires some creative thinking in order to be solved. The themes covered in this volume are: mathematical induction, combinatorics, modular arithmetic, Abelian groups, commutative rings, polynomials, field extensions, finite fields. The book includes a detailed section recalling relevant theory which can be used as a reference for study and revision. A list of preliminary exercises introduces the main techniques to be applied in solving the proposed exam questions. This volume is aimed at first year students in Mathematics and Computer Science. 410 0$aLa Matematica per il 3+2,$x2038-5722 ;$v119 606 $aGroup theory 606 $aCombinatorics 606 $aNumber theory 606 $aMathematical optimization 606 $aAlgebra 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aDiscrete Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26040 606 $aGeneral Algebraic Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M1106X 615 0$aGroup theory. 615 0$aCombinatorics. 615 0$aNumber theory. 615 0$aMathematical optimization. 615 0$aAlgebra. 615 14$aGroup Theory and Generalizations. 615 24$aCombinatorics. 615 24$aNumber Theory. 615 24$aDiscrete Optimization. 615 24$aGeneral Algebraic Systems. 676 $a512.9 700 $aChirivì$b Rocco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767331 702 $aDel Corso$b Ilaria$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aDvornicich$b Roberto$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484520203321 996 $aSelected Exercises in Algebra$92161932 997 $aUNINA