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Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Clifford Henry Taubes 作者

Oxford University Press, USA

译者

2011-12-1 出版日期

240 页数

USD 98.50 价格

Hardcover

Oxford Graduate Texts in Mathematics 丛书系列

9780199605880 图书编码

Differential Geometry 在线电子书图书标签: 数学数学-微分几何 geometry

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Differential Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Differential Geometry 在线电子书图书描述

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kahler geometry. Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.

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