代數拓撲中微分形式 2024 pdf epub mobi 電子書下載

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《代數拓撲中微分形式》內容為：The guiding principle in this book is to use differential forms as an aid inexploring some of the less digestible aspects of algebraic topology. Accord-ingly, we move primarily in the realm of smooth manifolds and use thede Rham theory as a prototype of all of cohomology. For applications tohomotopy theory we also discuss by way of analogy cohomoiogy witharbitrary coefficients. Although we have in mind an audience with prior exposure to algebraicor differential topology, for the most part a good knowledge of linearalgebra, advanced calculus, and point-set topology should suffice. Someacquaintance with manifolds, simplicial complexes, singular homology andcohomology, and homotopy groups is helpful, but not really necessary.Within the text itself we have stated with care the more advanced resultsthat are needed, so that a mathematically mature reader who accepts thesebackground materials on faith should be able to read the entire book withthe minimal prerequisites.

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發表於2024-06-03

代數拓撲中微分形式 2024 pdf epub mobi 電子書下載

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代數拓撲中微分形式 pdf epub mobi 讀後感

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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...

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