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Selected Exercises in Algebra: Volume 1

Selected Exercises in Algebra: Volume 1
Catalogue Information
Field name Details
Dewey Class 512.2
Title Selected Exercises in Algebra ([EBook]) : Volume 1 / by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich.
Author Chirivì, Rocco
Added Personal Name Del Corso, Ilaria
Dvornicich, Roberto
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2020.
Publication Cham : Springer International Publishing , 2020.
Physical Details XVI, 240 pages: 27 illus. : online resource.
Series La Matematica per il 3+2 2038-5722 ; ; 119
ISBN 9783030361563
Summary Note 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.:
Contents note 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.
Mode of acces to digital resource Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-36156-3
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