Vector calculus is the calculus of scalar fields and vector fields, especially in two- and three-dimensional Euclidean space. Its basic differential operators are the gradient, divergence, and curl. Its basic integrals include line integrals, surface integrals, and volume integrals. The fundamental relationships among them are expressed by the gradient theorem, Green's theorem, Stokes' theorem, and the divergence theorem.
Vector Calculus
See also
Curl, Divergence, Divergence Theorem, Gradient, Green's Theorem, Line Integral, Scalar Field, Stokes' Theorem, Surface Integral, Vector Field, Volume IntegralExplore with Wolfram|Alpha
References
Marsden, J. E. and Tromba, A. J. Vector Calculus, 5th ed. New York: W. H. Freeman, 2003.Cite this as:
Weisstein, Eric W. "Vector Calculus." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VectorCalculus.html