Matrices and Tensors in Physics

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.