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Words, grammatical forms and meanings linked to the ontology.

absolute differential calculus en · NOUN

Meanings

  1. (dated, historical, uncountable) Ricci calculus; the rules of index notation and manipulation for tensors and tensor fields, as developed by Gregorio Ricci-Curbastro.
    • 1931 [Blackie Company], A. J. McConnell, Applications of Tensor Analysis, 1957, Dover, page v, The absolute differential calculus came into prominence as the instrument best fitted for dealing with the general theory of relativity and it has also been found indispensable for the differential geometry of hyperspaces.
    • 1926 [Blackie & Son], Marjorie Long (translator), Tullio Levi-Civita, The Absolute Differential Calculus (Calculus of Tensors), 1977, Dover https://books.google.com.au/books?id=8PzDAgAAQBAJ&printsec=frontcover&dq=%22absolute+differential+calculus%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwi60s2Pq5DsAhX94zgGHf40DQ0Q6AEwAHoECAAQAg#v=onepage&q=%22absolute%20differential%20calculus%22&f=false.
    • Instead, it is of interest to try to look at the emergence of the absolute differential calculus (ADC in the rest of this chapter) from the viewpoint of the mathematical community of the time. 1999, Umberto Bottazzini, “8: Ricci and Levi-Civita: from differential invariants to general relativity”, in Jeremy Gray, editor, The Symbolic Universe: Geometry and Physics 1890-1930, Oxford University Press, page 241:

Relateds

tensor analysis