An Introduction to Riemannian Geometry and the Tensor Calculus

By: C. E. Weatherburn

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Paperback | 4 December 2008

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204 Pages

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21.7 x 15.5 x 1.6

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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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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Geometry Differential & Riemannian Geometry Topology

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
Table of Contents provided by Publisher. All Rights Reserved.

An Introduction to Riemannian Geometry and the Tensor Calculus

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Paperback

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