Introduction to Vector Analysis |
Contents
VECTOR FUNCTIONS OF A SINGLE VARIABLE | 49 |
SCALAR AND VECTOR FIELDS | 78 |
Review Problems | 281 |
Copyright | |
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Common terms and phrases
angle arc length axis basis cartesian coordinates Christoffel symbols component of F compute constant contravariant components coordinate system covariant components curl F curvilinear coordinates defined definition denote derivative determinant differential directed line segment div F divergence theorem domain dt dt dx dy dz equal equations Example Exercise expression F₁ F₂ field F Find flow lines formula function geometrical given grad ƒ gradient hence identity laplacian line integral magnitude matrix metric tensor nonzero vector notation obtain one-form oriented parallel parallelepiped parametric particle perpendicular point in space point x,y,z position vector quaternions region represented scalar field Show simply-connected Solution sphere surface integral tangent tensor of rank triple scalar product two-form u₁ u₂ unit vector vector analysis vector field write xy plane zero ди дх ду