The purpose of this book is to bridge the gap between differential
geometry of Euclidean space of three dimensions and the more
advanced work on differential geometry of generalised space. The
subject is treated with the aid of the Tensor Calculus, which is
associated with the names of Ricci and Levi-Civita; and the book
provides an introduction both to this calculus and to Riemannian
geometry. The geometry of subspaces has been considerably
simplified by use of the generalized covariant differentiation
introduced by Mayer in 1930, and successfully applied by other
mathematicians.
General
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