| 查看: 1608 | 回复: 23 | ||
| 【奖励】 本帖被评价23次，作者lactoferrin增加金币 17.6 个 | ||
| 当前只显示满足指定条件的回帖，点击这里查看本话题的所有回帖 | ||
[资源]
Differential Geometry and Topology: With a View to Dynamical Systems
|
||
|
Differential Geometry and Topology: With a View to Dynamical Systems (Studies in Advanced Mathematics) by Keith Burns and Marian Gidea Publication Date: May 27, 2005 | ISBN-10: 1584882530 | ISBN-13: 978-1584882534 | Edition: 1 Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models. The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow. The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field. |
回复此楼» 本帖附件资源列表
-
欢迎监督和反馈：小木虫仅提供交流平台，不对该内容负责。
本内容由用户自主发布，如果其内容涉及到知识产权问题，其责任在于用户本人，如对版权有异议，请联系邮箱：xiaomuchong@tal.com - 附件 1 : Differential_Geometry_and_Topology_With_a_View_to_Dynamical_Systems.pdf
2013-07-23 12:49:14, 8.91 M
» 猜你喜欢
各位大神，目前国内有哪些比较好用的逆合成软件？
已经有15人回复
-
国社科系统bug了，是不是要放榜了？
已经有10人回复
-
现代”学阀”该如何界定
已经有9人回复
-
课题组招2027级博士 上海工程技术大学 激光智能制造方向
已经有4人回复
-
上海工程技术大学 激光智能制造课题组 2027级博士研究生招生
已经有3人回复
-
上海工程技术大学激光智能制造课题组｜2027级博士研究生招生公告
已经有11人回复
-
申博发邮件
已经有11人回复
-
我的奶奶
已经有3人回复
15楼2014-12-20 18:12:22
简单回复
2013-07-25 15:23
回复
五星好评 顶一下，感谢分享！
hailiang3楼
2013-07-25 15:27
回复
五星好评 顶一下，感谢分享！
yxilyj_14楼
2013-07-25 22:25
回复
五星好评 顶一下，感谢分享！
2013-07-31 15:47
回复
五星好评 顶一下，感谢分享！
fenggaol6楼
2013-08-01 06:06
回复
五星好评 顶一下，感谢分享！
humihu7楼
2013-10-28 21:16
回复
五星好评 顶一下，感谢分享！
tigerjhs8楼
2013-10-29 06:38
回复
一般 顶一下，感谢分享！
2013-10-30 14:37
回复
五星好评 顶一下，感谢分享！
流星是夜的泪10楼
2013-11-01 22:15
回复
五星好评 顶一下，感谢分享！
housedoff11楼
2013-11-28 22:10
回复
一般 顶一下，感谢分享！
edlwu12楼
2014-09-13 17:04
回复
五星好评 顶一下，感谢分享！
123456xyz13楼
2014-09-21 12:56
回复
五星好评 顶一下，感谢分享！
玄念14楼
2014-12-20 17:24
回复
五星好评 顶一下，感谢分享！