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basic_tools:calculus [2017/11/03 14:12]
jakobadmin [Researcher]
basic_tools:calculus [2022/09/07 00:59] (current)
laserblue
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 ====== Calculus ====== ====== Calculus ======
  
-===== Layman =====+<tabbox Intuitive> ​
  
-===== Why is it interesting?​ =====+<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 Concrete> ​
  
-===== Student===== 
 [{{ :​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)}}]
  
 +** Recommended Short Reads**
  
-==== Recommended Books ====+  * [[https://​betterexplained.com/​articles/​a-gentle-introduction-to-learning-calculus/​|A Gentle Introduction To Learning Calculus]] by Kalid Azad 
 +  * [[https://​betterexplained.com/​calculus/​|A Better Explained Guide To Calculus]]
  
 +
 +**Recommended Books:**
 +
 +  * [[https://​www.gutenberg.org/​ebooks/​33283|Silvanus P. Thompson, Calculus Made Easy]]
 +  * [[https://​ocw.mit.edu/​resources/​res-18-001-calculus-online-textbook-spring-2005/​textbook/​|Gilbert Strang, Calculus]]
 +  * See also: https://​www.physicsforums.com/​insights/​self-study-calculus/​
 +  * [[http://​www.physics.miami.edu/​~nearing/​mathmethods/​|Mathematical Tools for Physics]] by James Nearing
 +  *  http://​mathinsight.org/​thread/​multivar
  
 <​blockquote>​ <​blockquote>​
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 </​blockquote>​ </​blockquote>​
  
-===== Examples ===== 
  
-===== Researcher=====+A nice video introduction is
  
 +  * [[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 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"​ 
-===== History =====+ 
 +   
 +<tabbox Why is it interesting?>​  
 + 
 +<​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>​ 
 + 
 +</​tabbox>​ 
 + 
basic_tools/calculus.1509714724.txt.gz · Last modified: 2017/12/04 08:01 (external edit)