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Titlebook: Differential Geometry; Connections, Curvatu Loring W. Tu Textbook 2017 Springer International Publishing AG 2017 Christoffel symbols.Codazz

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樓主
發(fā)表于 2025-3-21 16:43:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Differential Geometry
副標(biāo)題Connections, Curvatu
編輯Loring W. Tu
視頻videohttp://file.papertrans.cn/279/278744/278744.mp4
概述Narrative provides a panorma of some of the high points in the history of differential geometry.Problems are presented in each chapter with selected solutions and hints given at the end of the book.Ac
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Differential Geometry; Connections, Curvatu Loring W. Tu Textbook 2017 Springer International Publishing AG 2017 Christoffel symbols.Codazz
描述This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle.?Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss‘ Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of??de Rham cohomology is required for the last third of the text..Prerequisite material is contained in author‘s text?.An Introduction to Manifolds., and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions
出版日期Textbook 2017
關(guān)鍵詞Christoffel symbols; Codazzi–Mainardi equation; Gauss Curvature equation; Gauss Theorema egregium; Gauss
版次1
doihttps://doi.org/10.1007/978-3-319-55084-8
isbn_softcover978-3-319-85562-2
isbn_ebook978-3-319-55084-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:36:49 | 只看該作者
0072-5285 selected solutions and hints given at the end of the book.AcThis text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Ch
板凳
發(fā)表于 2025-3-22 01:27:47 | 只看該作者
地板
發(fā)表于 2025-3-22 04:32:48 | 只看該作者
Rare Earth Elements, Alloys and Compoundserential forms in differential geometry [.], and these have proven to be tools of great power and versatility. In this chapter we redevelop the theory of connections and curvature in terms of differential forms.
5#
發(fā)表于 2025-3-22 10:33:40 | 只看該作者
Chapter 2 Curvature and Differential Forms,erential forms in differential geometry [.], and these have proven to be tools of great power and versatility. In this chapter we redevelop the theory of connections and curvature in terms of differential forms.
6#
發(fā)表于 2025-3-22 15:50:47 | 只看該作者
Textbook 2017development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle.?Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss‘ Theorema Egregium and the Gauss–B
7#
發(fā)表于 2025-3-22 20:38:40 | 只看該作者
0072-5285 fit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions978-3-319-85562-2978-3-319-55084-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
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發(fā)表于 2025-3-22 23:27:43 | 只看該作者
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發(fā)表于 2025-3-23 03:29:49 | 只看該作者
Chapter 2 Curvature and Differential Forms,ifferential forms. Differential forms arise naturally even if one is interested only in vector fields. For example, the coefficients of tangent vectors relative to a frame on an open set are differential 1-forms on the open set. Differential forms are more supple than vector fields: they can be diff
10#
發(fā)表于 2025-3-23 07:41:20 | 只看該作者
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