Description

Book Synopsis
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.

Table of Contents
1. Some Preliminaries; 2. Coordinates, Vectors , Tensors; 3. Riemannian Metric; 4. Christoffel's Three-Index Symbols. Covariant Differentiation; 5. Curvature of a Curve. Geodeics, Parallelism of Vectors; 6. Congruences and Orthogonal Ennuples; 7. Riemann Symbols. Curvature of a Riemannian Space; 8. Hypersurfaces; 9. Hypersurfaces in Euclidean Space. Spaces of Constant Curvature; 10. Subspaces of a Riemannian Space.

An Introduction to Riemannian Geometry and the Tensor Calculus

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    A Paperback by C. E. Weatherburn

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      View other formats and editions of An Introduction to Riemannian Geometry and the Tensor Calculus by C. E. Weatherburn

      Publisher: Cambridge University Press
      Publication Date: Publication Date: 12/4/2008 12:00:00 AM
      ISBN13: 9780521091886, 978-0521091886
      ISBN10: 0521091888
      Also in:
      Calculus and mathematical analysis

      Description

      Book Synopsis
      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.

      Table of Contents
      1. Some Preliminaries; 2. Coordinates, Vectors , Tensors; 3. Riemannian Metric; 4. Christoffel's Three-Index Symbols. Covariant Differentiation; 5. Curvature of a Curve. Geodeics, Parallelism of Vectors; 6. Congruences and Orthogonal Ennuples; 7. Riemann Symbols. Curvature of a Riemannian Space; 8. Hypersurfaces; 9. Hypersurfaces in Euclidean Space. Spaces of Constant Curvature; 10. Subspaces of a Riemannian Space.

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