Ricci and Levi-Civita's Tensor Analysis, Paper (Lie Groups : History, Frontiers and Applications Series, No 2) - ISBN:0915692112

Ricci and Levi-Civita's Tensor Analysis, Paper (Lie Groups : History, Frontiers and Applications Series, No 2)

Date: 12 June 2011, 02:48

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This is a translation of "Methodes de calcul differential absoluetleurs applications," by G. Ricci and T. Levi-Civita, Mathematische Annalen, vol. 54 A900). This memoire is one of the most influential and important in the history of both differential geometry and mathematical physics. For example, it seems to have been the basic document from which Einstein learned the tensor analysis that he used in the creation of General Relativity. My immediate aim is, of course, to make this key paper - which is still very readable and informative - available to the scientific community. To enhance its usefulness, I have added Remarks which link the material with contemporary differential geometry and physics. I have also modernized the notations and terminology, e.g. using the summation convention, and substituting the term "Tensor Analysis" for "Absolute Differential Calculus." I have also added a few topics to the main text, e.g. the notion of "mixed tensor," which seemed useful.

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