✎ Differential Forms [The Physics Travel Guide]

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====== Differential Forms ======

<tabbox Why is it interesting?> 
<blockquote>
P-forms are important, because they are exactly the objects that we need if we want to talk about areas and volumes (and higher dimensional analogues).

<cite>http://jakobschwichtenberg.com/vectors-forms-p-vectors-p-forms-and-tensors/</cite>
</blockquote>

<blockquote>
‘Hamiltonian mechanics
cannot be understood without differential forms’

<cite>Mathematical methods of classical mechanics by Wladimir Igorewitsch Arnold, p. 163</cite>
</blockquote>

<note tip>
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
</note>
  
<tabbox Student>

* For the basic idea, see http://jakobschwichtenberg.com/vectors-forms-p-vectors-p-forms-and-tensors/
  * One of the best introductions can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz
  * [[http://www.math.cornell.edu/~sjamaar/manifolds/|Manifolds and Differential Forms]] lecture notes by Reyer Sjamaar
<tabbox Researcher>

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

--> Common Question 1#

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--> Common Question 2#

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<tabbox Examples>

--> Example1#

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--> Example2:#

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<tabbox History>

</tabbox>

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