An Introductory Course in Commutative Algebra - Couverture rigide

Chatters, A.W.

 
9780198534235: An Introductory Course in Commutative Algebra

Synopsis

This text aims to offer a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups, and finite fields. The material covered in this book prepares the way for the further study of abstract algebra, but it could also form the basis of an entire course. This book is intended for second and third year undergraduate mathematicians taking courses in commutative algebra, or taking more general courses in abstract algebra.

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Présentation de l'éditeur

This book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material covered in this book prepares the way for the further study of abstract algebra, but it could also form the basis of an entire course.

Revue de presse

Immaculately organised, the text glides seamlessly from the concrete to the abstrat; it is carefully written without being pedantic and all of the right motivational and cautinoary noises are made as intuition and feel for each new concept is developed.

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

Autres éditions populaires du même titre

9780198501442: An Introductory Course in Commutative Algebra (Oxford Science Publications)

Edition présentée

ISBN 10 :  0198501447 ISBN 13 :  9780198501442
Editeur : Oxford University Press, 1998
Couverture souple