9781441924506: Abstract Algebra
Couverture souple
ISBN 10 : 1441924507 ISBN 13 : 9781441924506
Editeur : Springer, 2010

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.

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

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.

Revue de presse

"The book under review is the second edition of the author s sweeping text originally titled Algebra ... . All together, the second edition of P. A. Grillet s standard primer is a masterly, clearly written, comprehensive and self-contained algebra text for graduate students, with a plentiful supply of additional advanced material ... . Moreover, the book under review, in its didactically oriented disposition, represents an excellent source for teachers and instructors of graduate courses in abstract algebra as well." --Werner Kleinert, Zentralblatt MATH, Vol. 1122 (24), 2007

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

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
1441924507
ISBN 13 
9781441924506
Reliure
Broché
Nombre de pages
688
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9780387715674: Abstract Algebra

Edition présentée

ISBN 10 :  0387715673 ISBN 13 :  9780387715674
Editeur : Springer-Verlag New York Inc., 2007
Couverture rigide