Introduction to Riemannian Geometry and the Tensor Calculus

Name: Introduction to Riemannian Geometry and the Tensor Calculus
Price: 30.75 USD
Availability: InStock
ISBN: 9780521091886

ISBN-10: 0521091888

ISBN-13: 9780521091886

Edition: 2008

Authors: C. E. Weatherburn

List price: $34.99

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Description:

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 generalized 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.

Book details

List price: $34.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 12/4/2008
Binding: Paperback
Pages: 204
Size: 5.50" wide x 8.75" long x 0.25" tall
Weight: 0.242
Language: English




Some Preliminaries



Coordinates, Vectors, Tensors



Riemannian Metric



Christoffel's Three-Index Symbols. Covariant Differentiation



Curvature of a Curve. Geodeics, Parallelism of Vectors



Congruences and Orthogonal Ennuples



Riemann Symbols. Curvature of a Riemannian Space



Hypersurfaces



Hypersurfaces in Euclidean Space. Spaces of Constant Curvature



Subspaces of a Riemannian Space