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Titlebook: Differentiable Manifolds; Lawrence Conlon Textbook 2001Latest edition Birkh?user Boston 2001 Differential Geometry.Global Calculus.Topolog

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發(fā)表于 2025-3-21 17:59:30 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Differentiable Manifolds
編輯Lawrence Conlon
視頻videohttp://file.papertrans.cn/279/278628/278628.mp4
概述One of the best introductions to differential manifolds available.Includes extensive appendices and detailed diagrams
叢書(shū)名稱Modern Birkh?user Classics
圖書(shū)封面Titlebook: Differentiable Manifolds;  Lawrence Conlon Textbook 2001Latest edition Birkh?user Boston 2001 Differential Geometry.Global Calculus.Topolog
描述.The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field...The themes of linearization, (re) integration, and global versus local calculus are 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
出版日期Textbook 2001Latest edition
關(guān)鍵詞Differential Geometry; Global Calculus; Topology; cohomology; De Rham cohomology; differential geometry; d
版次2
doihttps://doi.org/10.1007/978-0-8176-4767-4
isbn_softcover978-0-8176-4766-7
isbn_ebook978-0-8176-4767-4Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightBirkh?user Boston 2001
The information of publication is updating

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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.
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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
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發(fā)表于 2025-3-23 01:25:03 | 只看該作者
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.
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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
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