Riemannian Geometry

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A01=Frank Morgan
Author_Frank Morgan
Category=PBM
Category=PBMP
Category=PHR
Christoffel Symbols
Covariant Derivative
curvature computation
Curvature Vector
differential geometry
Einstein field equations
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Fundamental Tensor
Gauss Bonnet Theorem
Gauss Curvature
Geodesic Curvature
Geodesic Triangle
global geometric properties
Hyperbolic Space
Injectivity Radius
manifold topology
Mercury's Orbit
metric tensor analysis
Orthonormal Coordinates
Principal Curvatures
Ricci Curvature
Riemannian Curvature
Riemannian Curvature Tensor
Riemannian Geometry
Riemannian Manifold
Scalar Curvature
Sectional Curvature
Smooth Compact Riemannian Manifold
Smooth Riemannian Manifold
Theorema Egregium
undergraduate mathematics textbook
Unit Tangent
Unit Tangent Vector

Product details

  • ISBN 9781568814711
  • Weight: 294g
  • Dimensions: 152 x 229mm
  • Publication Date: 22 Jun 2009
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Paperback
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This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.

Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.

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