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.