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Selected Exercises in Algebra: Volume 1
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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
Links to Related Works
Subject References:
Algebra
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Combinatorics
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Group theory
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Group Theory and Generalizations
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Mathematical optimization
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Number Theory
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Authors:
author
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Chirivì, Rocco
.
Del Corso, Ilaria
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Dvornicich, Roberto
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Corporate Authors:
SpringerLink (Online service)
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Series:
La Matematica per il 3+2
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Classification:
512.2
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