Selected Exercises in Algebra

Beschreibung

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.

Collection of 250 exercises and preliminary exercises

The notes on the relevant theory provide the reader with a readily available, comprehensive reference

The proposed exercises and carefully drafted solutions are organised by topic

Autor*in

Rocco Chirivì

Themen in »Selected Exercises in Algebra«

Algebra Arithmetics Congruences Groups Fields combinatorics

Stimmen zu »Selected Exercises in Algebra«

“This book is filled with rich exercises with detailed historical notes mirroring Arithmetic and Algebra. … This book can be used for both the professor who needs a reservoir of problems for homework or projects and for the student who wishes to tackle more exercises for drill and practice. The book left me thinking that the more you practice and know, the better.” (MAA Reviews, April 12, 2020)

Details

Link teilen