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See Also: derivative, Riemannian manifold, gradient in curvilinear coordinates, nabla, differential form, first order operators in Riemannian geometry, vector field, Hessian matrix, derivative notation, Jacobian matrix, partial derivative, tilt curve
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Cross-references: Laplacian, curl, operator, divergence, Formalism, nabla, belong, domain, simply connected, conversely, tangent bundles, tangent map, adjoint, Jacobian matrix, transpose, useful, section, Kronecker delta, equation, identity, isomorphism, differential form, definitions, inverses, metric tensors, Einstein summation convention, orthonormal, manifold, local coordinates, smooth, tangent vectors, Riemannian metric, Riemannian manifolds, object, theorem, field, conservative, potential, modifications, extrema, path, local minima, local minimum, place, normal vector, projection, forces, ball, slope, height, Cartesian coordinates, surface, simple, radius, sphere, orientation, equivalent, tangent space, point, normal, hypersurface, negative, parallel, perpendicular, unit, angle, vector, positive, unit vectors, expression, calculate, structure, inner product, physical vector, coordinate systems, obvious, interpretations, formula, orthonormal basis, coordinates, Euclidean, directional derivative, dot product, property, continuously differentiable, variables, independent, variations, information, derivative, vector fields, functions, scalar, maps, differential operator
There are 35 references to this entry.
This is version 16 of gradient, born on 2001-11-16, modified 2009-02-07.
Object id is 892, canonical name is Gradient.
Accessed 64853 times total.
Classification:
| AMS MSC: | 26B10 (Real functions :: Functions of several variables :: Implicit function theorems, Jacobians, transformations with several variables) | | | 26B12 (Real functions :: Functions of several variables :: Calculus of vector functions) | | | 58A10 (Global analysis, analysis on manifolds :: General theory of differentiable manifolds :: Differential forms) |
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Pending Errata and Addenda
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