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Concepts from tensor analysis and differential geometry /

Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Thomas, Tracy Y. (Tracy Yerkes), 1899-1983
Format: Electronic eBook
Language:Inglés
Published: Amsterdam : Elsevier Science, 1961.
Series:Mathematics in science and engineering ; v. 1.
Subjects:
Online Access:Texto completo
Texto completo
Texto completo
Table of Contents:
  • Coordinate manifolds
  • Scalars
  • Vectors and tensors
  • Special skew-symmetric tensor
  • Vector product, curl of a vector
  • Riemann spaces
  • Affinely connected spaces
  • Normal coordinates
  • General theory of extension
  • Absolute differentiation
  • Differential invariants
  • Transformation groups
  • Euclidean metric space
  • Homogeneous and isotropic tensors
  • Curves in spsace, Frenet formulae
  • Surfaces in space
  • Mixed surface and space tensors, coordinate extension and absolute differentiation
  • Formulae of Gauss and Weingarten
  • Gaussian and mean curvature of a surface
  • Equations of Gauss and Codazzi
  • Principla curvatures and principal directions
  • Asymptotic lines
  • Orthogonal ennuples and normal congruences
  • Families of parallel surfaces
  • Developable surfaces, minimal surfaces.