Selected exercises in Algebra. Volume 1

• 作者： Chirivi, Rocco, author.
• 其他作者：
  • Del Corso, Ilaria, author.
  • Dvornicich, Roberto, author.
  • SpringerLink (Online service)
• 其他題名：
  • UNITEXT.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： UNITEXT,
• 主題： Algebra--Problems, exercises, etc. , Group Theory and Generalizations. , Combinatorics. , Number Theory. , Discrete Optimization. , General Algebraic Systems.
• ISBN： 9783030361563 (electronic bk.) 、 9783030361556 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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