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.
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 diffe...
Originally published in 1927, this systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry.
Originally published in 1927, this systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geomet...
