作者: notice 時間: 2025-3-21 23:52 作者: Predigest 時間: 2025-3-22 01:48 作者: 變化無常 時間: 2025-3-22 04:35
Riemannian Geometry, we can integrate .-forms, but which of these integrals should be interpreted as the . of the manifold? And given intersecting curves, how could we measure the . they make at an intersection point? The additional structure that is needed is a . tensor, Riemannian metrics and, to a lesser extent, pseudo-Riemannian metrics, being the main examples.作者: AMBI 時間: 2025-3-22 12:15 作者: 轉(zhuǎn)換 時間: 2025-3-22 16:43 作者: 轉(zhuǎn)換 時間: 2025-3-22 20:42 作者: prick-test 時間: 2025-3-22 21:11
2197-1803 of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the 978-0-8176-4766-7978-0-8176-4767-4Series ISSN 2197-1803 Series E-ISSN 2197-1811 作者: 拔出 時間: 2025-3-23 01:25
Covectors and 1-Forms,gy. Finally, theorems stated in terms of differential forms sometimes provide interesting and useful alternatives to equivalent vector field versions. An example of this will be a differential forms version of the Frobenius theorem.作者: 放牧 時間: 2025-3-23 07:03
Textbook 2001Latest editione emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the 作者: Small-Intestine 時間: 2025-3-23 11:21 作者: contrast-medium 時間: 2025-3-23 14:40
978-0-8176-4766-7Birkh?user Boston 2001作者: BROOK 時間: 2025-3-23 20:23
https://doi.org/10.1007/978-981-97-0323-4ondition for .-plane distributions (foliations). Although this latter topic concerns global partial differential equations, our approach will be largely qualitative, with very few explicit partial differential equations in evidence. Unless otherwise indicated, ..作者: NATAL 時間: 2025-3-23 22:48 作者: 案發(fā)地點(diǎn) 時間: 2025-3-24 03:59
More Theory of the Real Scalar Field,s on . and was shown to have interesting topological applications. Here we generalize these ideas, using the full Grassmann algebra .*(.) to produce a graded algebra .*(.), the de Rham cohomology algebra. The proper generalization of “l(fā)ocally exact 1-form” is “closed .-form”, defined as a .-form tha作者: 極深 時間: 2025-3-24 07:46 作者: 修正案 時間: 2025-3-24 11:39 作者: 賞錢 時間: 2025-3-24 18:53 作者: aerial 時間: 2025-3-24 21:07
Introduction to Quantitative PhysiologyIn this chapter, we treat the fundamentals of differential calculus in open subsets of Euclidean spaces. Everything will be set up so as to extend naturally to global differential calculus on smooth manifolds.作者: Opponent 時間: 2025-3-25 02:20 作者: 道學(xué)氣 時間: 2025-3-25 06:56 作者: ANTH 時間: 2025-3-25 07:52 作者: Adj異類的 時間: 2025-3-25 15:36 作者: 方舟 時間: 2025-3-25 16:30
Topological Manifolds,This chapter pertains to the global theory of manifolds. See also [., Chapter I] and [., Chapter 1].作者: Spangle 時間: 2025-3-25 21:48 作者: 細(xì)胞學(xué) 時間: 2025-3-26 00:45
The Global Theory of Smooth Functions,Our present goal is to extend the theory of smooth functions, developed on open subsets of ?. in Chapter 2, to arbitrary differentiable manifolds. Geometric topology becomes an essential feature.作者: 建筑師 時間: 2025-3-26 04:33
Lie Groups and Lie Algebras,Lie groups and their Lie algebras play a central role in geometry, topology, and analysis. Here we can only give a brief introduction to this fascinating topic.作者: incite 時間: 2025-3-26 12:26
Multilinear Algebra and Tensors,Smooth functions, vector fields and 1-forms are . of fairly simple types. In order to handle higher order tensors, we will need some rather sophisticated multilinear algebra. The reader who is well grounded in the multilinear algebra of .-modules can skip ahead to Section 7.4, referring to the first three sections only as needed.作者: jarring 時間: 2025-3-26 14:03
Forms and Foliations,In Section 4.5, we proved the vector field version of the Frobenius integrability theorem: . Γ(.) .(.) .. In this chapter, we develop an equivalent version of this theorem, stated in terms of the Grassmann algebra .*(.) of differential forms. Useful consequences of this point of view will be treated.作者: SLAG 時間: 2025-3-26 18:21 作者: LATE 時間: 2025-3-26 22:47
https://doi.org/10.1007/978-981-97-0323-4ondition for .-plane distributions (foliations). Although this latter topic concerns global partial differential equations, our approach will be largely qualitative, with very few explicit partial differential equations in evidence. Unless otherwise indicated, ..作者: AMOR 時間: 2025-3-27 02:30 作者: PRISE 時間: 2025-3-27 06:03 作者: 蕨類 時間: 2025-3-27 11:59
Modern Birkh?user Classicshttp://image.papertrans.cn/d/image/278628.jpg作者: reflection 時間: 2025-3-27 15:54 作者: Cpr951 時間: 2025-3-27 21:06 作者: Aphorism 時間: 2025-3-28 01:37 作者: HACK 時間: 2025-3-28 05:37 作者: 圓木可阻礙 時間: 2025-3-28 09:15
Integration of Forms and de Rham Cohomology,s on . and was shown to have interesting topological applications. Here we generalize these ideas, using the full Grassmann algebra .*(.) to produce a graded algebra .*(.), the de Rham cohomology algebra. The proper generalization of “l(fā)ocally exact 1-form” is “closed .-form”, defined as a .-form tha作者: 雇傭兵 時間: 2025-3-28 13:32 作者: Abnormal 時間: 2025-3-28 17:41
Principal Bundles*,ndles have also become central to key advances in mathematical physics (Yang-Mills theory) which have in turn generated exciting new mathematics (., S. K. Donaldson’s work on differentiable 4-dimensional manifolds [.], [.]). This chapter will be a brief introduction to principal bundles.作者: innovation 時間: 2025-3-28 21:44 作者: appall 時間: 2025-3-29 00:50 作者: ABHOR 時間: 2025-3-29 04:05
,1930er- bis 1940er-Jahre – Institutionalisierung der Soziologie: Etablierung eines akademischen undsische Sozialwissenschaftler mit ihrer Tradition des Strukturfunktionalismus an die Universit?t von S?o Paulo kamen. Dieser Zeitraum markiert den offiziellen Beginn der Geschichte der Soziologie in Brasilien.作者: 半導(dǎo)體 時間: 2025-3-29 09:16
Michalakis Savva(sentence, predicate) . of the argument. And reducible parts are parts which can be reduced to smaller parts salva validitate of the argument. In this paper I shall concentrate on problems which arise when logic is applied to physics. The paper is divided into 4 chapters. In the first chapter I want作者: insert 時間: 2025-3-29 14:56
Erhard Hornbogen,Gunther Eggeler,Ewald Wernerch diese Methoden in der V. Republik mit dem gewandelten Stellenwert von Exekutive sowie Legislative ge?ndert haben, lassen sich einige Verschiebungen feststellen. Wegen der Entmachtung des Parlaments und des damit einhergehenden Einflu?verlustes der Parteien haben diese kein ma?gebendes Gewicht meh作者: 高深莫測 時間: 2025-3-29 16:49
Stefan Aufenanger brown fields and the relationships between urban nature and the well-being of city dwellers. Finally, the book provides a contribution to the international discussion on?urban ecology.978-3-642-44608-5978-3-642-17731-6作者: Magnitude 時間: 2025-3-29 21:42 作者: 莊嚴(yán) 時間: 2025-3-30 02:48 作者: Spinal-Tap 時間: 2025-3-30 07:45
Interleaving Stories,ell had been legally tried and convicted under martial law—but both British and US legal experts countered these claims by observing that her rights as an accused person had not been properly protected. A large number of biographical writings was produced during the twentieth century; some of these
