Algebra pdf epub mobi txt 電子書 下載2025
Paolo Aluffi: Florida State University, Tallahassee, FL
- 代數
- 數學
- 抽象代數
- Algebra
- 範疇論
- 範疇
- 近世代數
- 綫性代數
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.
具體描述
讀後感
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...
評分代数够抽象， 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...
評分代数够抽象， 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...
評分代数够抽象， 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...
評分代数够抽象， 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...
用戶評價
百年難見的耐心的作者..
评分抽象代數，zhihu推薦：如果隻推薦一本的話，那就是這個。最大的優點是把“觀點現代”和“容易上手”兩者結閤到瞭一起。第一章就引入瞭範疇論，之後盡量從此齣發來看待各種代數概念。盡量先用統一的框架來處理不同的代數結構，然後再討論特有的東西。給齣來的證明都比較清楚，不跳步，從頭看到尾隻要跟著做習題就能理解。另外，它是 self-contained。不要求任何前置知識。遺憾的地方主要是是沒有講錶示論，李代數等東西。沒有和其他數學分支建立起聯係，因此像錶示論、李代數等和物理、幾何關係比較大的東西就都被捨瞭。後續可看錶示論（Etingof《Introduction to representation theory》），交換代數（Atiyah《交換代數》）。（跳過最後兩章的話完全是可以上成一個學期）
评分神仙書，，，Aluffi牛逼
评分非常喜歡作者的風格，看起來很親切。很少能見到這麼親切的數學書
评分一般，講得稍微有點亂
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