坐标系与矢量

Covariant Physics Pub Date : 2021-03-02 DOI:10.1093/OSO/9780198864899.003.0001

Moataz H Emam

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引用次数: 0

摘要

本章介绍了存在于三维空间中的各种类型的坐标系，并发展了“度量”的基本概念来描述它们的性质。它在这些坐标系中引入了向量，并发展了“索引语言”的概念，对度量的依赖，以及向量的协方差。希望尽早熟悉度量张量、指标或分量符号、对称和反对称操作。

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Coordinate Systems and Vectors

This chapter introduces the various types of coordinate systems that exist in three dimensions and develops the basic concept of ‘metric’ to describe their properties. It introduces vectors in these coordinate systems and develops the notions of the ‘index language,’ dependence on the metric, and the covariance of vectors. Early familiarity with the metric tensor, index or component notation, symmetric and anti-symmetric manipulation is intended.

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Covariant Physics

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