ID - 131781129 TI - Selected Exercises in Algebra AU - Chirivì, Rocco AU - Del Corso, Ilaria AU - Dvornicich, Roberto AU - SpringerLink (Online service) PY - 2020 SN - 9783030361563 PB - Cham Springer International Publishing :Imprint: Springer DB - UniCat KW - Number theory KW - Group theory KW - Algebra KW - Numerical methods of optimisation KW - Operational research. Game theory KW - Discrete mathematics KW - algebra KW - discrete wiskunde KW - wiskunde KW - getallenleer UR - https://www.unicat.be/uniCat?func=search&query=sysid:131781129 AB - 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. ER -