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Tensor analysis and elementary differential geometry for physicists and engineers

机译:面向物理学家和工程师的张量分析和基本微分几何

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Tensor analysis provides the necessary tools for investigating complex phenomena, from the highly abstract general relativity theory to elasticity theory of materials with daily real-life applications. The wide range of applications of tensor theory has attracted scientists from different disciplines. Thereby, this multi-disciplinary interest in tensors implicates a number of challenges for authors of books of an introductory nature. It is all mathematics and yet it is not. While mathematics is the underlying systematic and consistent language of tensor analysis, physicists, engineers, and mathematicians tend to read it differently. Therefore, it is of utmost importance that a monograph on this subject is written in a manner appropriate for its intended readership.
机译:张量分析提供了研究复杂现象的必要工具,从高度抽象的广义相对论到具有日常实际应用的材料的弹性理论。张量理论的广泛应用吸引了来自不同学科的科学家。因此,对张量的这种多学科兴趣对入门书籍的作者提出了许多挑战。都是数学,但不是。虽然数学是张量分析的基础系统且一致的语言,但物理学家,工程师和数学家倾向于以不同的方式来理解它。因此,以适合其预期读者的方式编写有关该主题的专题论文至关重要。

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