basic_tools:calculus
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basic_tools:calculus [2018/01/03 14:14] jakobadmin [Student] |
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| ====== Calculus ====== | ====== Calculus ====== | ||
| - | <tabbox Why is it interesting?> | + | <tabbox Intuitive> |
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| - | <blockquote>We usually take shapes and formulas at face value, as a single pattern. Calculus gives us two superpowers to dig deeper: | + | |
| - | + | ||
| - | X-Ray Vision: You see the hidden pieces inside a pattern. You don't just see the tree, you know it's made of rings, with another growing as we speak. | + | |
| - | + | ||
| - | Time-Lapse Vision: You see the future path of an object laid out before you (cool, right?). "Hey, there's the moon. In the next few days it'll be rising and changing to a nice red color. I'll wait 6 days and take the perfect photo then." | + | |
| - | + | ||
| - | So why is Calculus useful? Well, just imagine having X-Ray or Time-Lapse vision to use at will. That object over there, how was it put together? What will happen to it? | + | |
| - | + | ||
| - | <cite>[[https://betterexplained.com/calculus/|A Better Explained Guide To Calculus]]</cite> | + | |
| - | </blockquote> | + | |
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| - | <tabbox Layman> | + | |
| <note tip> | <note tip> | ||
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| </note> | </note> | ||
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| - | <tabbox Student> | + | <tabbox Concrete> |
| [{{ :calculus_made_easy.jpg?nolink |Source: "[[http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf|Calculus Made Easy]]" (1910)}}] | [{{ :calculus_made_easy.jpg?nolink |Source: "[[http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf|Calculus Made Easy]]" (1910)}}] | ||
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| * [[https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr|Essence of calculus]] by 3Blue1Brown | * [[https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr|Essence of calculus]] by 3Blue1Brown | ||
| + | | ||
| + | * [[https://www.youtube.com/watch?v=-JQxOYL3vhY| Geometric Calculus 0]] by Alan Macdonald | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| <blockquote>A more appropriate analogy would be that of calculus in | <blockquote>A more appropriate analogy would be that of calculus in | ||
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| and ref 7 is: J. V. Grabiber, [[http://www.mr-ideahamster.com/classes/assets/a_evepsilon.pdf|Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus]], the American Mathematical Monthly, March 1983, Vol.90, No.3, 185-194. | and ref 7 is: J. V. Grabiber, [[http://www.mr-ideahamster.com/classes/assets/a_evepsilon.pdf|Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus]], the American Mathematical Monthly, March 1983, Vol.90, No.3, 185-194. | ||
| - | See also https://www.physicsforums.com/insights/the-pantheon-of-derivatives-i/ | + | See also https://www.physicsforums.com/insights/the-pantheon-of-derivatives-i/ and "The Cauchy-Schwarz Master Class" |
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| - | <tabbox Examples> | + | <tabbox Why is it interesting?> |
| - | --> Example1# | + | <blockquote>We usually take shapes and formulas at face value, as a single pattern. Calculus gives us two superpowers to dig deeper: |
| - | + | X-Ray Vision: You see the hidden pieces inside a pattern. You don't just see the tree, you know it's made of rings, with another growing as we speak. | |
| - | <-- | + | |
| - | --> Example2:# | + | Time-Lapse Vision: You see the future path of an object laid out before you (cool, right?). "Hey, there's the moon. In the next few days it'll be rising and changing to a nice red color. I'll wait 6 days and take the perfect photo then." |
| - | + | So why is Calculus useful? Well, just imagine having X-Ray or Time-Lapse vision to use at will. That object over there, how was it put together? What will happen to it? | |
| - | <-- | + | |
| - | <tabbox FAQ> | + | <cite>[[https://betterexplained.com/calculus/|A Better Explained Guide To Calculus]]</cite> |
| - | | + | </blockquote> |
| - | <tabbox History> | + | |
| </tabbox> | </tabbox> | ||
basic_tools/calculus.1514985280.txt.gz · Last modified: 2018/01/03 13:14 (external edit)
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