標(biāo)題: Titlebook: An Introduction to Differential Manifolds; Jacques Lafontaine Textbook 2015 Springer International Publishing Switzerland 2015 De Rham Coh [打印本頁] 作者: EVOKE 時(shí)間: 2025-3-21 18:04
書目名稱An Introduction to Differential Manifolds影響因子(影響力)
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書目名稱An Introduction to Differential Manifolds讀者反饋
書目名稱An Introduction to Differential Manifolds讀者反饋學(xué)科排名
作者: 終止 時(shí)間: 2025-3-21 23:25
st to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful th978-3-319-35785-0978-3-319-20735-3作者: Munificent 時(shí)間: 2025-3-22 04:19
calculus in a manner which extends easily to the manifold se.This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master作者: 搖晃 時(shí)間: 2025-3-22 05:21
Integration und strategisches Verhalten,he spirit of the book, the proofs we give will use differential geometry to the greatest extent possible. We nonetheless believe it would be interesting to sketch a purely Riemannian proof in this introduction. The price we pay is using certain notions that have not been introduced (geodesics, geodesic curvature), of which we give the idea.作者: 人造 時(shí)間: 2025-3-22 12:21 作者: obligation 時(shí)間: 2025-3-22 14:45
Lie Groups,y called “finite and continuous groups”, which in today’s language conveys groups of finite topological dimension. In fact many of the examples discovered were smooth manifolds, with smooth group operations. Today we call such groups Lie groups.作者: 沒有貧窮 時(shí)間: 2025-3-22 17:41
Differential Forms,t on .. Replacing the vectors .. by .. has the advantage of no longer requiring the inner product. We can then integrate curves on any manifold ., the “field of linear forms” . ? .., for all .?∈?., where .. is a linear form on the tangent space ..., by writing 作者: 名詞 時(shí)間: 2025-3-22 23:26
Textbook 2015ology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more s作者: Defense 時(shí)間: 2025-3-23 04:37 作者: perpetual 時(shí)間: 2025-3-23 06:12 作者: atopic-rhinitis 時(shí)間: 2025-3-23 13:13 作者: UNT 時(shí)間: 2025-3-23 17:50
978-3-319-35785-0Springer International Publishing Switzerland 2015作者: CLAMP 時(shí)間: 2025-3-23 19:03
,Graphische Statik des L?ngsgleichgewichts, heuristic discussion on the notion of manifold which can still be read with pleasure. For additional historic perspective we also mention Riemann’s inaugural lecture, translated with annotations for the modern reader in [Spivak 79].作者: CARK 時(shí)間: 2025-3-24 00:36
Manifolds: The Basics, heuristic discussion on the notion of manifold which can still be read with pleasure. For additional historic perspective we also mention Riemann’s inaugural lecture, translated with annotations for the modern reader in [Spivak 79].作者: 大炮 時(shí)間: 2025-3-24 05:03 作者: armistice 時(shí)間: 2025-3-24 09:53
Die Eigenwerte des Hilfsproblems,This chapter consists of variations on the following themes:作者: 命令變成大炮 時(shí)間: 2025-3-24 13:59 作者: 反應(yīng) 時(shí)間: 2025-3-24 18:50
Entwurf eines Integrationskonzeptes,In the preceding chapters we saw several ways to show that two open subsets of ., and more generally two manifolds, are not diffeomorphic.作者: 捐助 時(shí)間: 2025-3-24 19:11
Differential Calculus,In this chapter, we review and reinforce the basics of differential calculus in preparation for our subsequent study of manifolds.作者: 元音 時(shí)間: 2025-3-25 00:57
From Local to Global,This chapter consists of variations on the following themes:作者: 愛哭 時(shí)間: 2025-3-25 04:53
Integration and Applications,If . is a function of a real variable with continuous derivative, 作者: 為寵愛 時(shí)間: 2025-3-25 07:29 作者: Longitude 時(shí)間: 2025-3-25 13:00 作者: SOW 時(shí)間: 2025-3-25 15:48
http://image.papertrans.cn/a/image/155217.jpg作者: Stagger 時(shí)間: 2025-3-25 22:37
,Graphische Statik des L?ngsgleichgewichts, heuristic discussion on the notion of manifold which can still be read with pleasure. For additional historic perspective we also mention Riemann’s inaugural lecture, translated with annotations for the modern reader in [Spivak 79].作者: 討好美人 時(shí)間: 2025-3-26 00:29 作者: abnegate 時(shí)間: 2025-3-26 05:18 作者: Clinch 時(shí)間: 2025-3-26 11:06
Integration und strategisches Verhalten,ndex of singular points of vector fields) and Riemannian geometry. We do not have the space to illustrate all of these ideas in detail. To keep with the spirit of the book, the proofs we give will use differential geometry to the greatest extent possible. We nonetheless believe it would be interesti作者: 種類 時(shí)間: 2025-3-26 13:14
Manifolds: The Basics, heuristic discussion on the notion of manifold which can still be read with pleasure. For additional historic perspective we also mention Riemann’s inaugural lecture, translated with annotations for the modern reader in [Spivak 79].作者: 沙文主義 時(shí)間: 2025-3-26 18:21
Lie Groups, years later, the work of Galois inspired the Norwegian mathematician Sophus Lie, who rather than studying invariance of algebraic equations was studying the invariance properties of ordinary and partial differential equations and put the need for other types of groups into focus. These were formerl作者: Grating 時(shí)間: 2025-3-26 22:12
Differential Forms,ith what we call line integrals, which is to say the circulation of a vector field . along a curve. This is classically defined as the integral . Here, . is a curve parametrization (in fact a piece of the parametrization as we restricted the parameter to the interval [.,?.]) and . is an inner produc作者: DEVIL 時(shí)間: 2025-3-27 02:56
,The Euler-Poincaré Characteristic and the Gauss-Bonnet Theorem,ndex of singular points of vector fields) and Riemannian geometry. We do not have the space to illustrate all of these ideas in detail. To keep with the spirit of the book, the proofs we give will use differential geometry to the greatest extent possible. We nonetheless believe it would be interesti作者: 玷污 時(shí)間: 2025-3-27 06:43
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