Algebra: Chapter 0
by Paolo Aluffi
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Description
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 show more 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. show lessTags
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Member Reviews
Is this the new best algebra book? It is almost as comprehensive as Lang, and is much more friendly and readable. Unfortunately not much (or any) commutative algebra - but there isn't much in Lang, either.
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ThingScore 100
Summing up, the textbook under review represents an excellent, truly outstanding first introduction to some of the main topics of classical and modern abstract algebra. Based on the author’s rich teaching experiences, and on his evident expertise, this text has been written with utmost care, pedagogical skill, and great enthusiasm. The author’s style of exposition, stands out by its high show more degree of aesthetics, lucidity, profundity, and reader-friendliness. show less
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Author Information
4 Works 92 Members
Series
Belongs to Publisher Series
Common Knowledge
- Canonical title
- Algebra: Chapter 0
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Statistics
- Members
- 76
- Popularity
- 411,827
- Reviews
- 1
- Rating
- (4.90)
- Languages
- English
- Media
- Paper, Ebook
- ISBNs
- 3
