000 02181nam a22002657a 4500
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020 _a9781470465711
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
041 _aEnglish
082 _a512
_bALU-A
100 _aAluffi, Paolo
245 _aAlgebra :
_bchapter 0
260 _aRhode Island :
_bAmerican Mathematical Society,
_c2009.
300 _axxi, 713p. :
_bill. ;
_c27 cm.
490 _aGraduate studies in mathematics ;
_vv. 104
500 _aIncludes index.
520 _aAlgebra: 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.
521 _aUndergraduate and graduate students interested in algebra.
650 0 _aAlgebra
856 _3Table of Contents
_uhttps://www.ams.org/bookstore/pspdf/gsm-104-toc.pdf?_gl=1*152dgms*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMyMDg1MC4wLjAuMA..
856 _3Reviews
_uhttps://www.goodreads.com/book/show/62002564-algebra#CommunityReviews
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_2udc
999 _c35063
_d35063