1.

Record Nr.

UNINA9910633920303321

Autore

Chirivì Rocco

Titolo

Selected Exercises in Algebra : Volume 2 / / by Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

3-031-12651-3

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (301 pages)

Collana

La Matematica per il 3+2, , 2038-5757 ; ; 140

Disciplina

512.9

512

Soggetti

Algebra

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

1 Theory -- 2 Exercises -- 3 Solutions.

Sommario/riassunto

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.