The absolute differential calculus (calculus of tensors) Levi-Civita T.
Publisher: Blackie & Son Dover

The theory of General Relativity is constructed entirely around a perplexingly difficult form of math called “tensor calculus” (also known to mathematicians as Absolute Differential Calculus). Spivak has discussed Riemann's lecture and now he is explaining Ricci's "absolute differential calculus", or "index gymnastics" style tensor calculus. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics. A very nice book of tensor calculus and tensor analysis. Grossman brings to Einstein's attention the absolute Differential Calculus. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Thus the art of the mathematician is not, as those who follow Comte believe, to state absolute truths but to choose a bunch of non contradictory axioms and to deploy rigorously their consequences. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. Simultaneously at the same point in space tantamount to understanding both special and general relativity demanded the creation of a new branch of higher mathematics called the absolute differential calculus of tensors. At this very early stage during summer 1912 of calculations with the metric tensor, Einstein explained in the Skizze that Grossmann,.