示性類 [Characteristic Classes] epub pdf  mobi txt 電子書 下載

示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載 2024

示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載 2024


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齣版社: 世界圖書齣版公司
ISBN:9787510005336
版次:1
商品編碼:10104511
包裝:平裝
外文名稱:Characteristic Classes
開本:24開
齣版時間:2012-06-01
用紙:膠版紙
頁數:330
正文語種:英語

示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載 2024



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In 1942 LEV PONTRJAGIN of Moscow University began to study thehomology of Grassmann manifolds, using a cell subdivision due to CharlesEhresmann. This enabled him to construct important new characteristicclasses. (Pontrjagins many contributions to mathematics are the moreremarkable in that he is totally blind, having lost his eyesight in an acci-dent at the age of fourteen.)

內容簡介

The text which follows is based mostly on lectures at PrincetonUniversity in 1957. The senior author wishes to apologize for the delayin publication.The theory of characteristic classes began in the year 1935 with almostsimultaneous work by HASSLER WHITNEY in the United States andEDUARD STIEFEL in Switzerland. StiefeIs thesis, written under thedirection of Heinz Hopf, introduced and studied certain "characteristic"homology classes determined by the tangent bundle of a smooth manifold.Whitney, then at Harvard University, treated the case of an arbitrary spherebundle. Somewhat later he invented the language of cohomology theory,hence the concept of a characteristic cohomology class, and proved thebasic product theorem.

內頁插圖

目錄

Preface
§1. Smooth Manifolds
§2. Vector Bundles
§3. Constructing New Vector Bundles Out of Old
§4. Stiefel-Whitney Classes
§5. Grassmann Manifolds and Universal Bundles
§6. A Cell Structure for Grassmann Manifolds
§7. The Cohomology Ring H*(Gn; Z/2)
§8. Existence of Stiefel-Whitney Classes
§9. Oriented Bundles and the Euler Class
§10. The Thorn Isomorphism Theorem
§11. Computations in a Smooth Manifold
§12. Obstructions
§13. Complex Vector Bundles and Complex Manifolds
§14. Chern Classes
§15. Pontrjagin Classes
§16. Chern Numbers and Pontrjagin Numbers
§17. The Oriented Cobordism Ring Ω*
§18. Thorn Spaces and Transversality
§19. Multiplicative Sequences and the Signature Theorem
§20. Combinatorial Pontrjagin Classes
Epilogue
Appendix A: Singular Homology and Cohomology
Appendix B: Bernoulli Numbers
Appendix C: Connections, Curvature, and Characteristic Classes.
Bibliography
Index

前言/序言

  The text which follows is based mostly on lectures at PrincetonUniversity in 1957. The senior author wishes to apologize for the delayin publication.
  The theory of characteristic classes began in the year 1935 with almostsimultaneous work by HASSLER WHITNEY in the United States andEDUARD STIEFEL in Switzerland. StiefeIs thesis, written under thedirection of Heinz Hopf, introduced and studied certain "characteristic"homology classes determined by the tangent bundle of a smooth manifold.Whitney, then at Harvard University, treated the case of an arbitrary spherebundle. Somewhat later he invented the language of cohomology theory,hence the concept of a characteristic cohomology class, and proved thebasic product theorem.
  In 1942 LEV PONTRJAGIN of Moscow University began to study thehomology of Grassmann manifolds, using a cell subdivision due to CharlesEhresmann. This enabled him to construct important new characteristicclasses. (Pontrjagins many contributions to mathematics are the moreremarkable in that he is totally blind, having lost his eyesight in an acci-dent at the age of fourteen.)

示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載 2024

示性類 [Characteristic Classes] 下載 epub mobi pdf txt 電子書

示性類 [Characteristic Classes] pdf 下載 mobi 下載 pub 下載 txt 電子書 下載 2024

示性類 [Characteristic Classes] mobi pdf epub txt 電子書 下載 2024

示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載
想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

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示性類 [Characteristic Classes] epub pdf mobi txt 電子書 下載 2024

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