Vector and Tensor Analysis with ApplicationsCourier Corporation, 1 janv. 1968 - 257 pages Concise and readable, this text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. It also includes a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Worked-out problems and solutions. 1968 edition. |
Autres éditions - Tout afficher
Vector and Tensor Analysis with Applications Aleksandr Ivanovich Borisenko,Ivan Evgenʹevich Tarapov Affichage d'extraits - 1968 |
Expressions et termes fréquents
A₁ A₂ angle arbitrary axis basis e₁ basis vectors C₁ called Christoffel symbols closed contour closed surface coefficients const contravariant components coordinate curves covariant and contravariant covariant components covariant derivative curl cyclic permutation deformation derivative direction dx₁ e₂ electromagnetic equals Example exterior normal fluid flux follows formulas Gauss given grad hence i₁ integral MATHEMATICS metric tensor numbers obtain orthogonal orthonormal basis P₁ parallelepiped particles perpendicular physical plane potential principal axes Problem pseudotensor quantity radius vector rectangular coordinate system rectangular coordinates rectangular coordinates X1 respect right-handed rotation scalar field scalar product second-order tensor Similarly Solution summation Suppose system of rectangular tensor field tensor of order theorem theory trajectories transformation unit vector v₁ vanishes vector field vector product velocity field volume x-axis x₁