A Concise Course in Algebraic Topology 在線電子書 圖書標籤: 代數拓撲 數學 拓撲 Algebraic_Topology 幾何與拓撲 Mathematics Math AlgebraicTopology
發表於2024-12-23
A Concise Course in Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
如標題所言,確實簡潔。講完fundamental group,馬上引入一點範疇語言。
評分確實不適閤初學者,隻讀到上同調,確實簡潔,不先看hatcher的話,我很難get到他的妙處……
評分挺全的,不過不好讀
評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。
評分範疇化講法真的騷, 但據說這樣就可以省去很多同調代數的準備工作
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.
評分
評分
評分
評分
A Concise Course in Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024