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arXiv physics/0509108physics.ed-phastro-phgr-qchep-thphysics.comp-ph
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广义相对论教学工具

A tool for teaching General Relativity

Kayll Lake

摘要:

GRTensorJ - Books是计算机代数系统GRTensorII(用于Maple)和GRTensorM(用于Mathematica)的一小部分的活动接口,旨在为广义相对论的学生提供先进的可编程计算器风格的工具。所有与经典张量方法相关的标准函数都可以使用,从而将其减少到“初等函数”。这不是传统的数据库。数据库条目是时空的,计算是实时完成的。所有时空都直接引用了十个当前(和经典)文本中的方程号,符号尽可能接近原始文本。该工具现在可从\texttt{grtensor.org/teaching}免费获得。

英文摘要:

GRTensorJ - Books is an active interface to a small part of the computer algebra systems GRTensorII (for Maple) and GRTensorM (for Mathematica) with the specific intent of providing students of General Relativity with an advanced programmable calculator-style tool. All standard functions associated with a classical tensor approach to the subject are available thus reducing these to "elementary functions". This is not a traditional database. The database entries are spacetimes and calculations are done in real time. All spacetimes are referenced directly by equation number in ten current (and classic) texts in notation as close as possible to the original text. The tool is now available free of charge from \texttt{grtensor.org/teaching} .

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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