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

評分☆☆☆☆☆

這本書還是不錯的，需要注意的是照片與實際有點不符，是白色封麵的。優惠期間購買更實惠。

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歡迎您撰寫這本書的原創書評

評分☆☆☆☆☆

印刷清楚，紙張質量不錯，至於內容肯定是經典，大師寫的。

評分☆☆☆☆☆

好書，真的，我喜歡，就是好呀

評分☆☆☆☆☆

本書作者是菲爾茲奬和沃爾夫將雙奬的獲得者，在拓撲學、幾何學等分支成就卓著。本書講解瞭從惠特尼到龐特裏亞金再到陳省身等人的示性類方麵的結果與成就，是一本難得的示性類方麵的著作。

評分☆☆☆☆☆

不錯的，很好用，下次還會繼續購買的！

評分☆☆☆☆☆

老外寫的書，非常值得讀

評分☆☆☆☆☆

老外寫的書，非常值得讀

評分☆☆☆☆☆

彆的網站缺貨瞭，隻有京東有貨，配送也非常快。

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