Curvature in Mathematics and Physics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Shlomo Sternberg 作者

Dover Publications Inc.

译者

2012-10-9 出版日期

416 页数

GBP 13.99 价格

Paperback

丛书系列

9780486478555 图书编码

Curvature in Mathematics and Physics 在线电子书图书标签: 物理数学相对论物理-相对论数学物理数学-微分形式数学-微分几何数学-ExteriorCalculus

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发表于2024-12-23

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Curvature in Mathematics and Physics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Curvature in Mathematics and Physics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Curvature in Mathematics and Physics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Curvature in Mathematics and Physics 在线电子书图书描述

This original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world-renowned mathematician for more than fifty years, the treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool.

Starting with an introduction to the various curvatures associated to a hypersurface embedded in Euclidean space, the text advances to a brief review of the differential and integral calculus on manifolds. A discussion of the fundamental notions of linear connections and their curvatures follows, along with considerations of Levi-Civita's theorem, bi-invariant metrics on a Lie group, Cartan calculations, Gauss's lemma, and variational formulas. Additional topics include the Hopf-Rinow, Myer's, and Frobenius theorems; special and general relativity; connections on principal and associated bundles; the star operator; superconnections; semi-Riemannian submersions; and Petrov types. Prerequisites include linear algebra and advanced calculus, preferably in the language of differential forms.

Curvature in Mathematics and Physics 在线电子书下载 mobi epub pdf txt 在线电子书下载

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