Stokes' theorem is a fundamental theorem in vector calculus that relates the integral of a vector field over a surface to the circulation of the field around the boundary of the surface. The theorem is named after the Irish mathematician George Stokes, who formulated it in the mid-19th century...
English: Stokes' theorem, named after the Irish mathematician George Gabriel Stokes, is a fundamental theorem in vector calculus. It relates the surface integral of a vector field over a surface to the line integral of the vector fieldaround its boundary. Mathematically, the theorem states that ...
stokes 定理 英语读法 English: Stokes' theorem, named after the Irish mathematician George Gabriel Stokes, is a fundamental theorem in vector calculus. It relates the surface integral of a vector field over a surface to the line integral of the vector field around its boundary. Mathematically, the...
Stokes' theorem is a generalization of Green's theorem to a higher dimension. Learn more about Stokes law with proof and formula along with divergence theorem at BYJU'S.
In differential geometry, Stokes' theorem (also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which generalizes several theorems from vector calculus. William Thomson first discovered the result and communicated it to George Stokes in ...
vector calculus. It is named after Sir George Gabriel Stokes (1819-1903), although the first known statement of the theorem is by William Thomson (Lord Kelvin) and appears in a letter of his to Stokes. The theorem acquired its name from Stokes' habit of including it in the Cambridge ...
Learn the definition of Stokes theorem and browse a collection of 84 enlightening community discussions around the topic.
Stokes' Theorem 2. Proof Reference 0. Introduction 在高二下学校Cal3课进入曲线曲面积分,Green's&Stoke's&Divergence Theorem的时候,老师给我们留了一个作业:斯托克斯公式的证明。 鉴于CALCULUS EARLY TRANSCENDENTALS EIGHTH EDITION JAMES STEWART(我们Calculus3的教材)只有一个特殊形式的斯托克斯公式的证明,我翻出来...
In differential geometry, Stokes' theorem (also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which generalizes several theorems from vector calculus. William Thomson first discovered the result and communicated it to George Stokes in ...
6 Stokes’theoremTherearethreemainintegraltheoremsofvectoranalysis:Green’stheorem:∫𝜕D(Pdx+Qdy)=∫∫D(𝜕Q𝜕x−𝜕P𝜕y)dxdy;Stokes’theorem:∫𝜕SF⋅ds=∫∫S(∇×F)⋅dS=∫∫ScurlF⋅dS;Gauss’(Ostrogradsky’s,divergence)theorem:∫∫𝜕WF⋅dS=∫∫∫W(∇⋅F)dV.I...