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• Motivation for tangent space definitions
  ...:\mathbb{R}^2\rightarrow\text{Whatever} }} in the form {{M|f(x,y)}} we can differentiate it in two directions, but {{M|(x,y)}} is a vector! So differentiating with Having decided we want to be able to differentiate in directions, we need a notion of directional derivative. The easiest bein
  4 KB (790 words) - 22:25, 12 April 2015
• Motivation for smooth structures
  ...the notion of continuity on such a map is easy! However suppose we want to differentiate {{M|f}}, what does this mean? ...e that they both allow us (some notion of differentiability we can use) to differentiate {{M|f}}'''''
  2 KB (414 words) - 12:26, 12 November 2015
• Linear Algebra (subject)
  ...pace equipped with a [[norm]] are the minimum requirements to be able to [[differentiate]]
  1 KB (150 words) - 15:09, 26 February 2016
• Differentiation (subject)
  In order to differentiate we require a [[Normed space]]
  691 B (94 words) - 14:56, 26 February 2016
• Example:A smooth function that is not real analytic
  #** Well if we differentiate a polynomial of order {{M|2k}} we get a polynomial of order {{M|2k-1}}, so:
  5 KB (1,030 words) - 04:25, 27 November 2016