From Calculus to Cohomology

From Calculus to Cohomology pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:Ib H. Madsen
出品人:
頁數:296
译者:
出版時間:1997-03-13
價格:USD 39.99
裝幀:Paperback
isbn號碼:9780521589567
叢書系列:
圖書標籤:
  • 數學 
  • 拓撲 
  • 微分流形 
  • 幾何 
  • 代數拓撲 
  • 微分拓撲 
  • 分析 
  • 數學科學 
  •  
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De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of algebraic topology or cohomology. The first 10 chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last 11 chapters cover Morse theory, index of vector fields, Poincare duality, vector bundles, connections and curvature, Chern and Euler classes, and Thom isomorphism, and the book ends with the general Gauss-Bonnet theorem. The text includes well over 150 exercises, and gives the background necessary for the modern developments in gauge theory and geometry in four dimensions, but it also serves as an introductory course in algebraic topology. It will be invaluable to anyone who wishes to know about cohomology, curvature, and their applications.

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4wrequired, ebook, only covered half

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4wrequired, ebook, only covered half

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其實這書如果循序漸進地讀來肯定是不錯的,不過當年為瞭一個期末作業連同調都不知道是啥的時候妄圖去看示性類,結果隻能是不懂,還連纍對此書的印象糟糕

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4wrequired, ebook, only covered half

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2/3看不懂

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