[数学物理方法].(Essential.Mathematical.Methods.for.Physicists),.Weber,.Arfken,.文字版

ntraction and Direct Product 149Р Contraction 149Р Direct Product 149Р2.8 Quotient Rule 151Р2.9 Dual Tensors 153Р Levi–Civita Symbol 153Р Dual Tensors 154Р Additional Reading 157Р3 DETERMINANTS AND MATRICES 159Р3.1 Determinants 159Р Linear Equations: Examples 159Р Homogeneous Linear Equations 160Р Inhomogeneous Linear Equations 161Р Laplacian Development by Minors 164Р Antisymmetry 166Р3.2 Matrices 174Р Basic Definitions, Equality, and Rank 174Р Matrix Multiplication, Inner Product 175Р Dirac Bra-ket, Transposition 178Р Multiplication (by a Scalar) 178Р Addition 179Р Product Theorem 180Р Direct Product 182Р Diagonal Matrices 182Р Trace 184Р Matrix Inversion 184Р3.3 Orthogonal Matrices 193Р Direction Cosines 194Р Applications to Vectors 195Р Orthogonality Conditions: Two-Dimensional Case 198