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书目名称Introduction to Smooth Manifolds影响因子(影响力)<br> http://figure.impactfactor.cn/if/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds影响因子(影响力)学科排名<br> http://figure.impactfactor.cn/ifr/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds网络公开度<br> http://figure.impactfactor.cn/at/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds网络公开度学科排名<br> http://figure.impactfactor.cn/atr/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds被引频次<br> http://figure.impactfactor.cn/tc/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds被引频次学科排名<br> http://figure.impactfactor.cn/tcr/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds年度引用<br> http://figure.impactfactor.cn/ii/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds年度引用学科排名<br> http://figure.impactfactor.cn/iir/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds读者反馈<br> http://figure.impactfactor.cn/5y/?ISSN=BK0474177<br><br> <br><br>书目名称Introduction to Smooth Manifolds读者反馈学科排名<br> http://figure.impactfactor.cn/5yr/?ISSN=BK0474177<br><br> <br><br>
悲痛
发表于 2025-3-21 22:31:55
John M. LeeNew edition extensively revised and clarified, and topics have been substantially rearranged.Introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, mu
敏捷
发表于 2025-3-22 01:13:06
Graduate Texts in Mathematicshttp://image.papertrans.cn/i/image/474177.jpg
首创精神
发表于 2025-3-22 06:27:46
978-1-4899-9475-2Springer Science+Business Media New York 2012
Ptsd429
发表于 2025-3-22 12:19:40
Introduction to Smooth Manifolds978-1-4419-9982-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
镇痛剂
发表于 2025-3-22 16:40:59
Smooth Maps,t under diffeomorphisms. At the end of the chapter, we introduce a powerful tool for blending together locally defined smooth objects, called .. They are used throughout smooth manifold theory for building global smooth objects out of local ones.
Carcinogenesis
发表于 2025-3-22 18:48:04
Tangent Vectors, called the . of the map, and a smooth curve determines a tangent vector at each point, called its .. In the final two sections we discuss and compare several other approaches to defining tangent spaces, and give a brief overview of the terminology of ., which puts the tangent space and differentials in a larger context.
upstart
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Submersions, Immersions, and Embeddings,s this discussion is the ., a corollary of the inverse function theorem, which we prove in the first section of the chapter. Then we delve more deeply into smooth embeddings and smooth submersions, and apply the theory to a particularly useful class of smooth submersions, the ..
性别
发表于 2025-3-23 03:38:02
,Sard’s Theorem,ontinuous map between smooth manifolds is homotopic to a smooth map. The third result is the ., which says, among other things, that embedded submanifolds can always be deformed slightly so that they intersect “nicely” in a certain sense that we will make precise.
Palpate
发表于 2025-3-23 07:57:58
Lie Groups,are also smooth submanifolds), which lead to a number of new examples of Lie groups. After explaining these basic ideas, we introduce actions of Lie groups on manifolds, which are the primary . of Lie groups. At the end of the chapter, we briefly touch on group representations.