3 ms·
On the other hand, all the analysis really boils down to exploiting continuity and smoothness of functions. Once you get that, the epsilon-delta formulation bec
by cyberax 1y ago
On the other hand, all the analysis really boils down to exploiting continuity and smoothness of functions. Once you get that, the epsilon-delta formulation becomes really obvious. And then you just keep building on top of it, adding layers and layers of abstraction, just like with programming.
With discrete math, there are really no unifying themes.
- anthk 1y agoI think of these with analogues with pixel rendering in order to understand integration and diferentiation on an intuitive way. Once you 'see' how triangles/slopes are drawn on a GB/GBA, you begin to understand limits. derivative of x^2 = 2x and a neglibile pixel/point that shouldn't be there but it 'exists' to show a changing factor.
- elbear 1y agoI would expect people to be more comfortable with discrete math, because we are more used to thinking of separate things as opposed to things without a boundry, so to say. There are exceptions to the latter, of course, like air, warmth, rain, etc.