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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.
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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.
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521091888
- ISBN 13 9780521091886
- BindingPaperback
- Number of pages204
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Introduction to Riemannian Geometry and the Tensor Calculus
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