TY - GEN digital ID - 131908975 TI - Selected Exercises in Algebra : Volume 2 AU - Chirivì, Rocco AU - Del Corso, Ilaria AU - Dvornicich, Roberto PY - 2022 SN - 9783031126512 9783031126505 9783031126529 PB - Cham Springer International Publishing DB - UniCat KW - Algebra KW - algebra UR - https://www.unicat.be/uniCat?func=search&query=sysid:131908975 AB - This book, the second of two volumes, contains approximately 350 exercises in Algebra which have featured exam questions for the Algebraic Structure and Algebra I courses 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 to be solved. The themes covered in this volume are: group theory and Sylow theorems, commutative rings with an emphasis on unique factorisation, Gaussian integers, field extensions and Galois theory. The book includes a detailed section recalling relevant theory that 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 second year students in Mathematics and Computer science. ER -