MATRICES AND TENSORS IN PHYSICS

JOSHI,A.W

MATRICES AND TENSORS IN PHYSICS - 3RD - NEW DELHI NEW AGE INTERNATIONAL 2015 - 342

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PHYSICS

MATRIX ALGEBRA • VECTOR SPACES • BASIC ALGEBRAIC OPERATIONS • SPECIAL MATRICES, I • DETERMINANTS • SPECIAL MATRICES, II • PARTITIONING OF MATRICES • SYSTEMS OF LINEAR EQUATIONS—PARTICULAR CASES • SYSTEMS OF LINEAR EQUATIONS—GENERAL • THE EIGENVALUE PROBLEM, I • THE EIGENVALUE PROBLEM, II • 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 APPENDICES • THE LOGIC OF NECESSITY AND SUFFICIENCY • ON THE ORDER OF A FINITE NONSINGULAR MATRIX • THE SCALAR PRODUCT OF REAL THREE-DIMENSIONAL VECTORS • AN APPROACH TO PROBLEM SOLVING.

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