Vector calculus | Vectors (mathematics and physics)
Stokes's theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls or simply the curl theorem, is a theorem in vector calculus on R3. Given a vector field, the theorem relates the integral of the curl of the vector field over some surface, to the line integral of the vector field around the boundary of the surface. The classical Stokes' theorem can be stated in one sentence: The line integral of a vector field over a loop is equal to the flux of its curl through the enclosed surface. Stokes' theorem is a special case of the generalized Stokes' theorem. In particular, a vector field on R3 can be considered as a 1-form in which case its curl is its exterior derivative, a 2-form. (Wikipedia).
What is Stokes theorem? - Formula and examples
► My Vectors course: https://www.kristakingmath.com/vectors-course Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds. For that reaso
From playlist Vectors
From playlist Stokes' theorem
In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto
From playlist Vector Calculus
An explanation of Stokes' theorem or Green's theorem in 3-space.
From playlist Advanced Calculus / Multivariable Calculus
From playlist Stokes' theorem
In this video, I present Stokes' Theorem, which is a three-dimensional generalization of Green's theorem. It relates the line integral of a vector field over a curve to the surface integral of the curl of that vector field over the corresponding surface. After presenting an example, I expl
From playlist Multivariable Calculus
Surface emerging from boundary
From playlist Stokes' theorem
The most important theorem about vector fields, Stokes' theorem, which relates the surface integral of the curl with the line integral over the boundary. Here orientation matters, which I'll explain as well. Old Stokes Theorem Video https://youtu.be/bDILtddFKxw Vector Calculus Playlist: h
From playlist Vector Calculus
Stokes' Theorem and Green's Theorem
Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Stoke's Theorem Overview
From playlist Engineering Math: Vector Calculus and Partial Differential Equations
Worldwide Calculus: Stokes' Theorem
Lecture on 'Stokes' Theorem' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Integration and Vector Fields
ME564 Lecture 25: Stokes' theorem and conservative vector fields
ME564 Lecture 25 Engineering Mathematics at the University of Washington Stokes' theorem and conservative vector fields Notes: http://faculty.washington.edu/sbrunton/me564/pdf/L25.pdf Course Website: http://faculty.washington.edu/sbrunton/me564/ http://faculty.washington.edu/sbrunton/
From playlist Engineering Mathematics (UW ME564 and ME565)
Stokes' Theorem // Geometric Intuition & Statement // Vector Calculus
We're finally at one of the core theorems of vector calculus: Stokes' Theorem. We've seen the 2D version of this theorem before when we studied Green's Theorem which compared the circulation around a 2D curve to integrating the circulation density along the region. In contrast, Stokes Theo
The video explains how to use Stoke's Theorem to use a surface integral to evaluate a line integral. http://mathispower4u.wordpress.com/
From playlist Surface Integrals
Consequences of Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010
Consequences of Stokes' Theorem Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02SC: Homework Help for Multivariable Calculus
Extended Stokes' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010
Extended Stokes' Theorem Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02SC: Homework Help for Multivariable Calculus
Stokes's Theorem is kind of like Green's Theorem, whereby we can evaluate some multiple integral rather than a tricky line integral. This works for some surface integrals too. Let's see how it works! Script by Howard Whittle Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMat
From playlist Mathematics (All Of It)
Lec 32: Stokes' theorem (cont.); review | MIT 18.02 Multivariable Calculus, Fall 2007
Lecture 32: Stokes' theorem (cont.); review. View the complete course at: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02 Multivariable Calculus, Fall 2007