Matrices and tensors in physics/
Joshi, A.W.
Matrices and tensors in physics/ A.W. Joshi. - 3rd ed. - New York: New Age International, 1995. - xvi, 342 p. : ill. ; 25 cm.
MATRIX ALGEBRA.
Vector Spaces.
Basic Algebraic Operations.
Special Matrices 1.
Determinants.
Special Matrices 2.
Partitioning of Matrices.
Systems of Linear Equations--Particular Cases.
Systems of Linear Equations--General.
The Eigenvalue Problem 1.
The Eigenvalue Problem 2.
Bilinear and Quadratic Forms.
Functions of a Matrix.
Kronecker Sum and Product of Matrices.
Matrices in Classical and Quantum Mechanics.
TENSOR ANALYSIS.
Introduction.
The Algebra of Tensors.
Quotient Law.
The Fundamental Tensor.
Cartesian Tensors.
Four-Vectors in Special Relativity.
Covariant Formulation of Electrodynamics.
Tensor Calculus.
Kinematics in a Riemannian Space.
Riemann-Christoffel Curvature Tensor.
Bibliography for Parts 1 & 2.
Appendices.
Answers to Selected Exercises.
Index.
8122405630
Matrices
Calculus of tensors
Mathematical physics
530 / JOS/N
Matrices and tensors in physics/ A.W. Joshi. - 3rd ed. - New York: New Age International, 1995. - xvi, 342 p. : ill. ; 25 cm.
MATRIX ALGEBRA.
Vector Spaces.
Basic Algebraic Operations.
Special Matrices 1.
Determinants.
Special Matrices 2.
Partitioning of Matrices.
Systems of Linear Equations--Particular Cases.
Systems of Linear Equations--General.
The Eigenvalue Problem 1.
The Eigenvalue Problem 2.
Bilinear and Quadratic Forms.
Functions of a Matrix.
Kronecker Sum and Product of Matrices.
Matrices in Classical and Quantum Mechanics.
TENSOR ANALYSIS.
Introduction.
The Algebra of Tensors.
Quotient Law.
The Fundamental Tensor.
Cartesian Tensors.
Four-Vectors in Special Relativity.
Covariant Formulation of Electrodynamics.
Tensor Calculus.
Kinematics in a Riemannian Space.
Riemann-Christoffel Curvature Tensor.
Bibliography for Parts 1 & 2.
Appendices.
Answers to Selected Exercises.
Index.
8122405630
Matrices
Calculus of tensors
Mathematical physics
530 / JOS/N