Topics in Group Theory - Couverture souple

Smith, Geoff; Tabachnikova, Olga

Couverture souple

ISBN 10 : 1852332352 ISBN 13 : 9781852332358

Editeur : Springer, 2013

Synopsis

The theory of groups is simultaneously a branch of abstract algebra and the study of symmetry. Designed for readers approaching the subject for the first time, this book reviews all the essentials. It recaps the basic definitions and results, including Lagranges Theorem, the isomorphism theorems and group actions. Later chapters include material on chain conditions and finiteness conditions, free groups and the theory of presentations. In addition, a novel chapter of "entertainments" demonstrates an assortment of results that can be achieved with the theoretical machinery.

A propos du livre

À propos de la quatrième de couverture

We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math­ ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managedto write brilliantly because they knew no other way. As higher education has opened up in economically devel­ oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1852332352
• ISBN 13: 9781852332358
• Reliure: Broché
• Nombre de pages: 256
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne