Matrices and Tensors in Physics

Por: Detalles de publicación: New York : John Wiley and Sons, 1975Edición: 2daDescripción: 288 páginasISBN:
  • fcnm1288
Clasificación CDD:
  • 512.943I/J74
Contenidos:
I. Matrix algebra. 1.Vector spaces and transformations. 2.The algebra of matrices. 3.Special matrices. 4.Determinants. 5.Special matrices. 6.Partitioning of matrices. 7.Systems of linear equations- particular cases. 8.Systems of linear equations- general. 9.The eigenvalue problem I. 10.The eigenvalue problem II. 11.Bilinear and quadratic forms. 12.Functions of a matrix. 13.Kronecker sun and product of matrices. 14.Matrices in classical and quantum mechanics. Bibliography for chapter II. II. Tensor Analysis. 15.Introduction. 16.The algebra of tensor. 17.Quotient law. 18.The fundamental tensor. 19.Cartesian tensors. 20.Four-vector in special relativity. 21.Covariant formulation of electrodynamics. 22.Tensor calculus. 23.Kinematics in a Riemannian space. 24.Riemannian-Cristoffiel curvature tensor. Bibliography for chapter II.
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I. Matrix algebra. 1.Vector spaces and transformations. 2.The algebra of matrices. 3.Special matrices. 4.Determinants. 5.Special matrices. 6.Partitioning of matrices. 7.Systems of linear equations- particular cases. 8.Systems of linear equations- general. 9.The eigenvalue problem I. 10.The eigenvalue problem II. 11.Bilinear and quadratic forms. 12.Functions of a matrix. 13.Kronecker sun and product of matrices. 14.Matrices in classical and quantum mechanics. Bibliography for chapter II. II. Tensor Analysis. 15.Introduction. 16.The algebra of tensor. 17.Quotient law. 18.The fundamental tensor. 19.Cartesian tensors. 20.Four-vector in special relativity. 21.Covariant formulation of electrodynamics. 22.Tensor calculus. 23.Kinematics in a Riemannian space. 24.Riemannian-Cristoffiel curvature tensor. Bibliography for chapter II.

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