Vector Field

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a subset of Euclidean space. Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point. In the rigorous mathematical treatment, (tangent) vector fields are defined on manifolds as sections of a manifold''s tangent bundle. They are one kind of tensor field on the manifold.

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High Quality Content by WIKIPEDIA articles! In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a subset of Euclidean space. Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point. In the rigorous mathematical treatment, (tangent) vector fields are defined on manifolds as sections of a manifold's tangent bundle. They are one kind of tensor field on the manifold.