Selected exercises in algebra : volume 1
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512 BER-H Higher algebra | 512 BIR-S Survey of modern algebra(A) | 512 CHA-M (Mostly) commutative algebra | 512 CHI-S Selected exercises in algebra : volume 1 | 512 COL-D Dynamical systems and linear algebra | 512 CON-C C-algebras Vol. 1:banach spaces | 512 CON-C C-algebras Vol 5 :selected topics |
Includes index.
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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