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Differential Forms and Connections 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Darling, R. W. R. 作者

Cambridge Univ Pr

译者

1994-9 出版日期

270 页数

$ 61.02 价格

Pap

丛书系列

9780521468008 图书编码

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Differential Forms and Connections 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Differential Forms and Connections 在线电子书图书描述

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections, to advanced undergraduate and beginning graduate students in mathematics, physics and engineering. The book covers both classical surface theory and the modern theory of connections and curvature, and includes a chapter on applications to theoretical physics. The only prerequisites are multivariate calculus and linear algebra; no knowledge of topology is assumed. The powerful and concise calculus of differential forms is used throughout. Through the use of numerous concrete examples, the author develops computational skills in the familiar Euclidean context before exposing the reader to the more abstract setting of manifolds. There are nearly 200 exercises, making the book ideal for both classroom use and self-study.

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