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Graduate Studies in Mathematics Ser.: Algebra: Chapter 0 by Paolo Aluffi (2009, Trade Paperback)
AlibrisBooks (459365)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-10147046571X
ISBN-139781470465711
eBay Product ID (ePID)14057274970
Product Key Features
Number of Pages714 Pages
LanguageEnglish
Publication NameAlgebra: Chapter 0
Publication Year2009
TypeTextbook
AuthorPaolo Aluffi
SeriesGraduate Studies in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height1.5 in
Item Weight45.6 Oz
Item Length10.1 in
Item Width7.4 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2009-004043
ReviewsAn obvious question: why another graduate algebra book? Aren't there all but too many already? Is there anything genuinely novel to be done when it comes to educating fledgling graduate students in this subject, given such an already well-populated and high-quality field? Well, the answer is yes. And the title of the book under review, Algebra: Chapter 0, is already a clue to what the author, Paolo Aluffi, is up to. In a perhaps Bourbakian sense, the prevailing motivation and objective is to present the subject at hand in a manner that pays proper due to relatively new foundations, making for a rather different orientation and flavor for what ensues. ...His treatment of these preliminaries is thorough as well as eminently accessible: Aluffi writes well, clearly and engagingly. This characterizes all of Algebra: Chapter 0, actually, and makes it easy to recommend the book enthusiastically even aside from the fact that I am a big fan of category theory to begin with."" -MAA Online ""This self-contained introduction is suitable for a first sequence at the beginning graduate or upper undergraduate level. A distinguishing feature of the book is the early introduction of categories, used as a unifying theme."" SciTech Book News
Series Volume Number104
Table Of ContentPreliminaries: Set theory and categories Groups, first encounter Rings and modules Groups, second encounter Irreducibility and factorization in integral domains Linear algebra Fields Linear algebra, reprise Homological algebra Index
SynopsisOffers an introduction to the main topics of algebra. This book also offers introduction of categories used as a unifying theme in the presentation of the main topics. It includes approximately 1,000 exercises that provide practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics., Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
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