標(biāo)題: Titlebook: Manifolds, Vector Fields, and Differential Forms; An Introduction to D Gal Gross,Eckhard Meinrenken Textbook 2023 The Editor(s) (if applica [打印本頁(yè)] 作者: 表范圍 時(shí)間: 2025-3-21 19:55
書目名稱Manifolds, Vector Fields, and Differential Forms影響因子(影響力)
書目名稱Manifolds, Vector Fields, and Differential Forms影響因子(影響力)學(xué)科排名
書目名稱Manifolds, Vector Fields, and Differential Forms網(wǎng)絡(luò)公開度
書目名稱Manifolds, Vector Fields, and Differential Forms網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Manifolds, Vector Fields, and Differential Forms被引頻次
書目名稱Manifolds, Vector Fields, and Differential Forms被引頻次學(xué)科排名
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書目名稱Manifolds, Vector Fields, and Differential Forms年度引用學(xué)科排名
書目名稱Manifolds, Vector Fields, and Differential Forms讀者反饋
書目名稱Manifolds, Vector Fields, and Differential Forms讀者反饋學(xué)科排名
作者: JUST 時(shí)間: 2025-3-21 22:55
Vector Bundles,the base points. All the natural constructions and concepts of linear algebra—such as direct sums, duals, quotient spaces, tensor products, inner product spaces, and so on—extend to vector bundles in a natural way, compatible with the smooth structures.作者: Meditative 時(shí)間: 2025-3-22 00:45
Integration, important applications, such as to winding numbers and linking numbers, mapping degrees, de Rham cohomology, and many more. Our plan as always is to begin with integration on open subsets of Euclidean spaces and generalize to arbitrary manifolds.作者: byline 時(shí)間: 2025-3-22 04:57 作者: 季雨 時(shí)間: 2025-3-22 10:57
1615-2085 is kept to a minimum.Theory of manifolds appears as a natur.This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master‘s students. It places special emphasis on motivation and understanding, while developing a solid intuition f作者: Prologue 時(shí)間: 2025-3-22 16:17
Gal Gross,Eckhard Meinrenkentical expressions and execution control of functions. This provides a powerful platform for streamlined manipulation of all or parts of an expression and will significantly enhance the capabilities of the kernel and user-defined functions. Development of the package and its applications to various t作者: GIDDY 時(shí)間: 2025-3-22 17:11 作者: 閃光你我 時(shí)間: 2025-3-22 21:19 作者: 世俗 時(shí)間: 2025-3-23 02:08
Gal Gross,Eckhard Meinrenkent work constitutes one part of a construction of a framework for specifying, via a signature, programming languages with binders as nested datatypes. To this end, we are going to combine our work with previous work by Ahrens and Matthes (itself based on work by Matthes and Uustalu) on an axiomatisat作者: 煤渣 時(shí)間: 2025-3-23 05:48
Gal Gross,Eckhard Meinrenkent work constitutes one part of a construction of a framework for specifying, via a signature, programming languages with binders as nested datatypes. To this end, we are going to combine our work with previous work by Ahrens and Matthes (itself based on work by Matthes and Uustalu) on an axiomatisat作者: 追蹤 時(shí)間: 2025-3-23 13:18 作者: 群居男女 時(shí)間: 2025-3-23 16:54
Gal Gross,Eckhard Meinrenkeno Nuprl in order to prove a version of Brouwer’s continuity principle, as well as choice sequences in order to prove truncated versions of the axiom of choice and of Brouwer’s bar induction principle. This paper illustrate the process of extending Nuprl with versions of the axiom of choice.作者: 靈敏 時(shí)間: 2025-3-23 21:10 作者: 新星 時(shí)間: 2025-3-24 01:26 作者: 懦夫 時(shí)間: 2025-3-24 04:21 作者: Ringworm 時(shí)間: 2025-3-24 07:50 作者: cinder 時(shí)間: 2025-3-24 12:23
Manifolds,One of the goals of this book is to develop the theory of manifolds in intrinsic terms, although we may occasionally use immersions or embeddings into Euclidean space in order to illustrate concepts. In physics terminology, we will formulate the theory of manifolds in terms that are “manifestly coordinate-free.”作者: 黃油沒有 時(shí)間: 2025-3-24 18:28
Smooth Maps,A real-valued function on an open subset . is called . .?∈?. if it is infinitely differentiable on an open neighborhood of .. It is called . . if it is smooth at all points of .. The notion of smooth functions on open subsets of Euclidean spaces carries over to manifolds: A function is smooth if its expression in local coordinates is smooth.作者: resistant 時(shí)間: 2025-3-24 21:04
Submanifolds,Let . be a manifold of dimension .. We will define a .-dimensional submanifold .???. to be a subset that looks locally like ., regarded as the coordinate subspace defined by ..?=???=?..?=?0.作者: 變形詞 時(shí)間: 2025-3-25 03:12
Vector Fields,A vector field on a manifold may be regarded as a family of tangent vectors ..?∈?... for .?∈?., depending smoothly on the base points .?∈?.. One way of making precise what is meant by “depending smoothly” is the following.作者: 憤世嫉俗者 時(shí)間: 2025-3-25 03:56
Gal Gross,Eckhard MeinrenkenFor undergraduates! Required background material is typically covered in the first 2 or 3 years of university.The role of point set topology is kept to a minimum.Theory of manifolds appears as a natur作者: 離開真充足 時(shí)間: 2025-3-25 11:19 作者: 內(nèi)疚 時(shí)間: 2025-3-25 14:16
978-3-031-25408-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: fatuity 時(shí)間: 2025-3-25 18:12 作者: 使服水土 時(shí)間: 2025-3-25 21:43 作者: LUCY 時(shí)間: 2025-3-26 01:36
https://doi.org/10.1007/978-3-031-25409-3introduction to manifolds textbook; smooth functions on manifolds; tangent spaces; differential forms t作者: 睨視 時(shí)間: 2025-3-26 06:55 作者: Inveterate 時(shí)間: 2025-3-26 10:52
Gal Gross,Eckhard Meinrenkenives, integrals, sums, products, vector operators, brackets, and various forms of subscripts and superscripts using the traditional mathematical notation based on the low-level box language and contains over 700 functions for notation, algebraic manipulation and evaluation of mathematical expression作者: lattice 時(shí)間: 2025-3-26 14:38
Gal Gross,Eckhard Meinrenkenry of mathematics formalized in that system. The UniMath library, under active development, aims to coherently integrate machine-checked proofs of mathematical results from many different branches of mathematics..The UniMath language is a dependent type theory, augmented by the univalence axiom. One作者: 切掉 時(shí)間: 2025-3-26 20:45 作者: Guaff豪情痛飲 時(shí)間: 2025-3-26 23:41
Gal Gross,Eckhard Meinrenkenry of mathematics formalized in that system. The UniMath library, under active development, aims to coherently integrate machine-checked proofs of mathematical results from many different branches of mathematics..The UniMath language is a dependent type theory, augmented by the univalence axiom. One作者: 吊胃口 時(shí)間: 2025-3-27 04:03 作者: AWRY 時(shí)間: 2025-3-27 07:46 作者: BLA 時(shí)間: 2025-3-27 10:40
Gal Gross,Eckhard Meinrenkenations on closed terms. Nuprl is both computationally and type-theoretically open-ended in the sense that both its computation system and its type theory can be extended as needed by checking a handful of conditions. For example, Doug Howe characterized the computations that can be added to Nuprl in作者: 極小量 時(shí)間: 2025-3-27 15:57 作者: 最高峰 時(shí)間: 2025-3-27 19:22
Introduction,manifolds has a long and complicated history. For centuries, manifolds have been studied extrinsically, as subsets of Euclidean spaces, given, for example, as level sets of equations. In this context, it is not always easy to separate the properties of a manifold from the choice of an embedding; a f作者: vibrant 時(shí)間: 2025-3-28 01:10
Differential Forms,nd curl operations, and providing an elegant reformulation of the classical integration formulas of Green, Kelvin-Stokes, and Gauss. The full power of differential forms appears in their coordinate-free formulation on manifolds, which is the topic of this chapter.作者: 包庇 時(shí)間: 2025-3-28 02:05
Integration,anifolds. A key result concerning integration is ., a far-reaching generalization of the fundamental theorem of calculus. Stokes’ theorem has numerous important applications, such as to winding numbers and linking numbers, mapping degrees, de Rham cohomology, and many more. Our plan as always is to 作者: 周興旺 時(shí)間: 2025-3-28 07:01 作者: 水汽 時(shí)間: 2025-3-28 13:46 作者: Synchronism 時(shí)間: 2025-3-28 16:58 作者: 把手 時(shí)間: 2025-3-28 21:32 作者: 相信 時(shí)間: 2025-3-29 02:46
dramatic example of this relationship was felt at the close of the last glaciation, when the marine polar front migrated thousands of kilometres between 13,000 and 11,000 BP, and again between 11,000 and 10,000 BP, associated with the complex climatic perturbations occurring during the final decay
