An Introduction to Riemannian Geometry and the Tensor Calculus

Paperback / softback

Main Details

Title An Introduction to Riemannian Geometry and the Tensor Calculus
Authors and Contributors      By (author) C. E. Weatherburn
Physical Properties
Format:Paperback / softback
Pages:204
Dimensions(mm): Height 216,Width 140
Category/GenreCalculus and mathematical analysis
ISBN/Barcode 9780521091886
ClassificationsDewey:516.373
Audience
Professional & Vocational
Illustrations Worked examples or Exercises

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 4 December 2008
Publication Country United Kingdom

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 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.