示性类 [Characteristic Classes] pdf epub mobi txt 电子书 下载 2025

图书介绍


示性类 [Characteristic Classes]

简体网页||繁体网页
[美] 米尔纳 著



下载链接1
下载链接2
下载链接3
    


想要找书就要到 静流书站
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2025-05-02

类似图书 点击查看全场最低价

出版社: 世界图书出版公司
ISBN:9787510005336
版次:1
商品编码:10104511
包装:平装
外文名称:Characteristic Classes
开本:24开
出版时间:2012-06-01
用纸:胶版纸
页数:330
正文语种:英语

示性类 [Characteristic Classes] epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2025

相关图书



示性类 [Characteristic Classes] epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2025

示性类 [Characteristic Classes] pdf epub mobi txt 电子书 下载



具体描述

编辑推荐

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.)

内容简介

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.

内页插图

目录

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.)

示性类 [Characteristic Classes] 电子书 下载 mobi epub pdf txt

示性类 [Characteristic Classes] pdf epub mobi txt 电子书 下载
想要找书就要到 静流书站
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

内容质量没得说!

评分

好书,真的,我喜欢,就是好呀

评分

满意,下单后仅一天就到货。真的又快又好!

评分

这本书还是不错的,需要注意的是照片与实际有点不符,是白色封面的。优惠期间购买更实惠。

评分

欢迎您撰写这本书的原创书评

评分

本书作者是菲尔兹奖和沃尔夫将双奖的获得者,在拓扑学、几何学等分支成就卓著。本书讲解了从惠特尼到庞特里亚金再到陈省身等人的示性类方面的结果与成就,是一本难得的示性类方面的著作。

评分

京东的书店书倒较全了,价格同时下调些会吸引些人

评分

好书好书好书好书好书好书好书好书

评分

不是橘红色!!!!是白底的...还是想要橘红色的

类似图书 点击查看全场最低价

示性类 [Characteristic Classes] pdf epub mobi txt 电子书 下载


分享链接


去京东购买 去京东购买
去淘宝购买 去淘宝购买
去当当购买 去当当购买
去拼多多购买 去拼多多购买


示性类 [Characteristic Classes] bar code 下载
扫码下载










相关图书




本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2025 windowsfront.com All Rights Reserved. 静流书站 版权所有