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Abstract Algebra (Graduate Texts in Mathematics)

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eBay item number:396952039060
Last updated on Sep 09, 2025 08:43:54 SGTView all revisionsView all revisions

Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
subject_code
PBF
target_audience
College/University
is_adult_product
false
edition_number
2
binding
paperback
edition
Softcover reprint of hardcover 2nd ed. 2007
series_number
242
MPN
N/A
batteries_required
false
manufacturer
Springer
volume
242
Brand
Springer
series_title
Graduate Texts in Mathematics
number_of_items
1
pages
688
genre
Algebra
publication_date
2010-11-23T00:00:01Z
unspsc_code
55101500
batteries_included
false
ISBN
9781441924506

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
1441924507
ISBN-13
9781441924506
eBay Product ID (ePID)
108189831

Product Key Features

Number of Pages
Xii, 674 Pages
Publication Name
Abstract Algebra
Language
English
Subject
Algebra / Abstract, Algebra / General
Publication Year
2010
Type
Textbook
Author
Pierre Antoine Grillet
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
36.6 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
2
Intended Audience
Scholarly & Professional
Reviews
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." (Miklós Bóna, 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), 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." (Miklós Bóna, 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)
Dewey Edition
22
Series Volume Number
242
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512.02
Table Of Content
Groups.- Structure of Groups.- Rings.- Field Extensions.- Galois Theory.- Fields with Orders or Valuations.- Commutative Rings.- Modules.- Semisimple Rings and Modules.- Projectives and Injectives.- Constructions.- Ext and Tor.- Algebras.- Lattices.- Universal Algebra.- Categories.
Synopsis
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., 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., This key textbook covers, with proofs, the usual major branches of abstract algebra, with its inclusive approach meaning that all of the necessary areas are explored. This new edition has been completed reworked and revised., 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.
LC Classification Number
QA150-272

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