Abstract Algebra: An Integrated Approach - Couverture souple

Silverman, Joseph H.

 
9781470468606: Abstract Algebra: An Integrated Approach
Couverture souple
ISBN 10 : 1470468603 ISBN 13 : 9781470468606
Editeur : American Mathematical Society, 2022

Synopsis

This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Joseph H. Silverman, Brown University, Providence, RI

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2022
Langue
anglais
ISBN 10 
1470468603
ISBN 13 
9781470468606
Reliure
Broché
Nombre de pages
567
Coordonnées du fabricant
non disponible
Personne responsable
non disponible