basic_tools:vector_calculus:stokes_theorem
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basic_tools:vector_calculus:stokes_theorem [2018/03/10 18:03] iiqof [Researcher] |
basic_tools:vector_calculus:stokes_theorem [2018/03/28 12:25] jakobadmin |
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| ====== Stoke's Theorem ====== | ====== Stoke's Theorem ====== | ||
| - | <tabbox Why is it interesting?> | ||
| - | <tabbox Layman> | + | <tabbox Intuitive> |
| <blockquote>Green's and Stokes' Theorems are actually the same thing (Stokes' is more general). These sections will be easier to understand if you understand [[basic_tools:vector_calculus:dot_product|dot products]], [[basic_tools:vector_calculus:curl|curl]], and circulation. | <blockquote>Green's and Stokes' Theorems are actually the same thing (Stokes' is more general). These sections will be easier to understand if you understand [[basic_tools:vector_calculus:dot_product|dot products]], [[basic_tools:vector_calculus:curl|curl]], and circulation. | ||
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| Green's theorem is simply Stokes' theorem in the plane. Green's theorem deals with 2-dimensional regions, and Stokes' theorem deals with 3-dimensional regions. Thus, Stokes' is more general, but it is easier to learn Green's theorem first, then expand it into Stokes'.<cite>https://betterexplained.com/~kazad/resources/math/Stokes_and_Green/green.htm</cite></blockquote> | Green's theorem is simply Stokes' theorem in the plane. Green's theorem deals with 2-dimensional regions, and Stokes' theorem deals with 3-dimensional regions. Thus, Stokes' is more general, but it is easier to learn Green's theorem first, then expand it into Stokes'.<cite>https://betterexplained.com/~kazad/resources/math/Stokes_and_Green/green.htm</cite></blockquote> | ||
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| - | <tabbox Student> | + | <tabbox Concrete> |
| * A perfect explanation of Stoke's theorem can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which are available [[http://www.feynmanlectures.caltech.edu/II_03.html|here]] | * A perfect explanation of Stoke's theorem can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which are available [[http://www.feynmanlectures.caltech.edu/II_03.html|here]] | ||
| - | <tabbox Researcher> $$ | + | <tabbox Abstract> $$ |
| \int_D d\omega = \int_{\partial D} \omega | \int_D d\omega = \int_{\partial D} \omega | ||
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| - | <tabbox Examples> | + | <tabbox Why is it interesting?> |
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| - | <tabbox FAQ> | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
basic_tools/vector_calculus/stokes_theorem.txt ยท Last modified: 2020/09/06 10:05 by waqar
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