Algebra pdf epub mobi txt 電子書下載2025

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Paolo Aluffi: Florida State University, Tallahassee, FL

出版者:American Mathematical Society

作者:Paolo Aluffi

出品人:

頁數:728

译者:

出版時間:2009-8-2

價格:USD 89.00

裝幀:Hardcover

isbn號碼:9780821847817

叢書系列:Graduate Studies in Mathematics

圖書標籤:

代數
數學
抽象代數
Algebra
範疇論
範疇
近世代數
綫性代數

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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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代数够抽象，范畴够抽象，但是都很自然，两者也是有联系的，所要做的是，一步一步来，慢慢做到顺其自然、显而易见。就像其脚注所述： We will give the reader such prompts every now and then: at key times, it is more useful to take stock of what one knows tha...

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