Selected Exercises in Algebra Volume 1

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 lang...

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Bibliographic Details
Main Authors: Chirivì, Rocco, Del Corso, Ilaria (Author), Dvornicich, Roberto (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:La Matematica per il 3+2
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Selected Exercises in Algebra  |h Elektronische Ressource  |b Volume 1  |c by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich 
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300 |a XVI, 240 p. 27 illus  |b online resource 
505 0 |a 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 
653 |a Group Theory and Generalizations 
653 |a Number theory 
653 |a Group theory 
653 |a Number Theory 
653 |a General Algebraic Systems 
653 |a Discrete Optimization 
653 |a Discrete Mathematics 
653 |a Universal algebra 
653 |a Discrete mathematics 
653 |a Mathematical optimization 
700 1 |a Del Corso, Ilaria  |e [author] 
700 1 |a Dvornicich, Roberto  |e [author] 
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520 |a 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