03927nam 22006975 450 99641825420331620200703052345.03-030-36156-X10.1007/978-3-030-36156-3(CKB)4100000010121965(DE-He213)978-3-030-36156-3(MiAaPQ)EBC6114350(PPN)242845444(EXLCZ)99410000001012196520200129d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSelected Exercises in Algebra[electronic resource] Volume 1 /by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XVI, 240 p. 27 illus.) La Matematica per il 3+2,2038-5722 ;119Includes index.3-030-36155-1 1 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.This 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.La Matematica per il 3+2,2038-5722 ;119Group theoryCombinatoricsNumber theoryMathematical optimizationAlgebraGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Discrete Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26040General Algebraic Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M1106XGroup theory.Combinatorics.Number theory.Mathematical optimization.Algebra.Group Theory and Generalizations.Combinatorics.Number Theory.Discrete Optimization.General Algebraic Systems.512.9Chirivì Roccoauthttp://id.loc.gov/vocabulary/relators/aut767331Del Corso Ilariaauthttp://id.loc.gov/vocabulary/relators/autDvornicich Robertoauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418254203316Selected Exercises in Algebra2161932UNISA