This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes-and include some applications to homotopy theory. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, "Differential Forms in Algebraic Topology" should be suitable for self-study or for a one- semester course in topology.
發表於2024-12-25
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書 下載
最近我讀完瞭Raoul Bott的Differential Forms in Algebraic Topology(代數拓撲中的微分形式),開頭還算是比較輕鬆愉快,後來遇到spectral sequences就開始發暈,到homotopy的時候就有點像放棄瞭,好在那是一個相對獨立的章節,熬到最後的characteristic classes稍微總算好...
評分最近我讀完瞭Raoul Bott的Differential Forms in Algebraic Topology(代數拓撲中的微分形式),開頭還算是比較輕鬆愉快,後來遇到spectral sequences就開始發暈,到homotopy的時候就有點像放棄瞭,好在那是一個相對獨立的章節,熬到最後的characteristic classes稍微總算好...
評分最近我讀完瞭Raoul Bott的Differential Forms in Algebraic Topology(代數拓撲中的微分形式),開頭還算是比較輕鬆愉快,後來遇到spectral sequences就開始發暈,到homotopy的時候就有點像放棄瞭,好在那是一個相對獨立的章節,熬到最後的characteristic classes稍微總算好...
評分最近我讀完瞭Raoul Bott的Differential Forms in Algebraic Topology(代數拓撲中的微分形式),開頭還算是比較輕鬆愉快,後來遇到spectral sequences就開始發暈,到homotopy的時候就有點像放棄瞭,好在那是一個相對獨立的章節,熬到最後的characteristic classes稍微總算好...
評分最近我讀完瞭Raoul Bott的Differential Forms in Algebraic Topology(代數拓撲中的微分形式),開頭還算是比較輕鬆愉快,後來遇到spectral sequences就開始發暈,到homotopy的時候就有點像放棄瞭,好在那是一個相對獨立的章節,熬到最後的characteristic classes稍微總算好...
圖書標籤: 數學 Tu
Differential Forms in Algebraic Topology (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書 下載