Del i serien Graduate Texts in Mathematics

Abstract Algebra

Inbunden, Engelska, 2007

AvPierre Antoine Grillet

649 kr

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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.

Produktinformation

Utgivningsdatum2007-07-24
Mått162 x 242 x 33 mm
Vikt1 060 g
FormatInbunden
SpråkEngelska
SerieGraduate Texts in Mathematics
Antal sidor674
Upplaga2
FörlagSpringer-Verlag New York Inc.
ISBN9780387715674

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From the reviews of the second edition: "This book certainly has more than enough material for a two-semester algebra course for first-year graduate students. ... The balance among various topics will please some instructors more than others." (Miklos Bona, MathDL, September, 2007) "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)