Mathematical Physics Vol 1

485

INDEX

total differential, 46, 86 transformations inverse, 109

linear, 32 normed, 33 vector surface, 90 vector surface integral, 53 vector tube, 90 velocity

one-to-one, 109 reciprocal, 109

tube, 90 vector, 13, 16

of a point of a rigid body, 72 wave equation, 338, 341, 362, 426 work of the force, 22

associativity of the sum, 55 base, 29, 110 bound, 18 collinear, 27 commutativity of the sum, 55 component, 35 conjugate, 26 contravariant, 212 coordinates, 29 derivative ordinary, 42 differential, 43 free, 18 limit, 40 limit value, 40 linearly dependent, 27 linearly independent, 27, 62 magnitude, 16 multiplication by a scalar, 32 multiplication by scalar, 20 opposite, 19 position, 31, 108 reciprocal, 26

sliding, 18 torsion, 74

unit, 19 zero, 19 vector function

continuous, 41 definite integral, 47

differentiable, 42 differential, 43, 45 higher order partial derivative, 44 indefinite integral, 47

limit value, 44 line integral, 48 partial derivative, 44

vector line, 89 vector potential, 108 vector product

geometric interpretation, 62

vector space