A Concise Course in Algebraic Topology pdf epub mobi txt 電子書 下載2025
- 代數拓撲
- 數學
- 拓撲
- Algebraic_Topology
- 幾何與拓撲
- Mathematics
- Math
- AlgebraicTopology
Algebraic topology is a basic part of modern mathematics and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry and Lie groups. This book provides a treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology and the book concludes with a list of suggested readings for those interested in delving further into the field.
具體描述
讀後感
評分
評分
評分
評分
用戶評價
據說是講代數拓撲裏麵最難的一本，最難不好說，觀點很高倒是真的，比較多的采用代數和範疇的語言，和Hatcher，Novikov的那樣的代數拓撲完全不是一個範兒，不過毋庸置疑是本極好的拓撲講義。
评分這本加上Bredon的那本topology and geometry足以打通拓撲學任督二脈，要是本科再學一次幾何和拓撲，我隻會讀這兩本書，最多再加一本Loring W.Tu
评分據說是講代數拓撲裏麵最難的一本，最難不好說，觀點很高倒是真的，比較多的采用代數和範疇的語言，和Hatcher，Novikov的那樣的代數拓撲完全不是一個範兒，不過毋庸置疑是本極好的拓撲講義。
评分挺全的，不過不好讀
评分如標題所言，確實簡潔。講完fundamental group，馬上引入一點範疇語言。
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