Faster access than browser!Similarities between Differential form and Multivariable calculus
Differential form and Multivariable calculus have 14 things in common (in Unionpedia): Curl (mathematics), Differentiable manifold, Directional derivative, Divergence, Divergence theorem, Gradient theorem, Green's theorem, Integral, Jacobian matrix and determinant, Linear map, Manifold, Stokes' theorem, Surface integral, Vector field.
Curl (mathematics)
In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space.
Curl (mathematics) and Differential form · Curl (mathematics) and Multivariable calculus ·
Differentiable manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.
Differentiable manifold and Differential form · Differentiable manifold and Multivariable calculus ·
Directional derivative
In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the curvilinear coordinate curves, all other coordinates being constant.
Differential form and Directional derivative · Directional derivative and Multivariable calculus ·
Divergence
In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.
Differential form and Divergence · Divergence and Multivariable calculus ·
Divergence theorem
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.
Differential form and Divergence theorem · Divergence theorem and Multivariable calculus ·
Gradient theorem
The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve.
Differential form and Gradient theorem · Gradient theorem and Multivariable calculus ·
Green's theorem
In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. It is named after George Green, though its first proof is due to Bernhard Riemann and is the two-dimensional special case of the more general Kelvin–Stokes theorem.
Differential form and Green's theorem · Green's theorem and Multivariable calculus ·
Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
Differential form and Integral · Integral and Multivariable calculus ·
Jacobian matrix and determinant
In vector calculus, the Jacobian matrix is the matrix of all first-order partial derivatives of a vector-valued function.
Differential form and Jacobian matrix and determinant · Jacobian matrix and determinant and Multivariable calculus ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Differential form and Linear map · Linear map and Multivariable calculus ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Differential form and Manifold · Manifold and Multivariable calculus ·
Stokes' theorem
In vector calculus, and more generally differential geometry, Stokes' theorem (also called the generalized Stokes theorem or the Stokes–Cartan theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.
Differential form and Stokes' theorem · Multivariable calculus and Stokes' theorem ·
Surface integral
In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces.
Differential form and Surface integral · Multivariable calculus and Surface integral ·
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
Differential form and Vector field · Multivariable calculus and Vector field ·
The list above answers the following questions
- What Differential form and Multivariable calculus have in common
- What are the similarities between Differential form and Multivariable calculus
Differential form and Multivariable calculus Comparison
Differential form has 118 relations, while Multivariable calculus has 60. As they have in common 14, the Jaccard index is 7.87% = 14 / (118 + 60).
References
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