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Selected Exercises in Algebra : Volume 1 / / by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich



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Autore: Chirivì Rocco Visualizza persona
Titolo: Selected Exercises in Algebra : Volume 1 / / by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Edizione: 1st ed. 2020.
Descrizione fisica: 1 online resource (XVI, 240 p. 27 illus.)
Disciplina: 512.9
Soggetto topico: Group theory
Combinatorics
Number theory
Mathematical optimization
Algebra
Group Theory and Generalizations
Number Theory
Discrete Optimization
General Algebraic Systems
Persona (resp. second.): Del CorsoIlaria
DvornicichRoberto
Note generali: Includes index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Selected Exercises in Algebra  Visualizza cluster
ISBN: 3-030-36156-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910484520203321
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Serie: La Matematica per il 3+2, . 2038-5722 ; ; 119