Abstract Algebra (Graduate Texts in Mathematics, 242, Band 242)

Pierre Antoine Grillet

ISBN 10: 0387715673 / ISBN 13: 9780387715674

Edité par Springer, 2007

A propos de cet article

Neu Neuware, Importqualität, auf Lager - About the first edition:'The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules.[n]one of the material one expects in a book like this is missing, and the level of detail is appropriate for its intended audience.' (Alberto Delgado, MathSciNet)'This text promotes the conceptual understanding of algebra as a whole, and that with great methodological mastery. Although the presentation is predominantly abstract.it nevertheless features a careful selection of important examples, together with a remarkably detailed and strategically skillful elaboration of the more sophisticated, abstract theories.' (Werner Kleinert, Zentralblatt)For the new edition, the author has completely rewritten the text, reorganized many of the sections, and even cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as a bit of topology.

N° de réf. du vendeur INF1000775238

Détails bibliographiques

• Titre: Abstract Algebra (Graduate Texts in Mathematics, 242, Band 242)
• Éditeur: Springer
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0387715673
• ISBN à 13 chiffres: 9780387715674
• Reliure: Hardcover
• Édition: 2ème Édition
• État de l'article: Neu
• Poids: 1089 grammes

A propos de ce titre

Synopsis

The author has completely reworked this superb textbook for a fully updated new edition. He has reorganized many of the sections, and cut or shortened material which is no longer essential. He has added a chapter on Ext and Tor, as well as some topology. In all this is a new version of a classic that is now fit for purpose, a key text geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.

Quatrième de couverture

A one–of–a–kind introduction to abstract algebra.

Does the world need another algebra book? Yes, if it is as clearly written and succinctly presented as this one. Addressing the needs of students at the senior/graduate level as well as mathematicians in the market for a comprehensive reference, Algebra combines an exceptionally accessible discussion of the basics with a remarkably thorough and well–organized treatment. Readers can pick and choose from a broad array of important topics, learn how various concepts relate to one another, and acquire a sense of the scope and thrust of contemporary algebra as well as its practical application. Under major headings devoted to groups, rings, fields, rings and modules, and other structures such as universal algebras, categories, and lattices, this unique resource:

• Features a careful selection of important examples.
• Incorporates exercises that help develop research skills.
• Shows how results in one area have applications in another.
• Promotes conceptual understanding of the field as a whole.
• Provides appendices on numbers and set theory.