5 ms·
In my experience, virtually all of Calc III is "visualizable" (even somewhat esoteric stuff like Lagrange multipliers[1]), because it's mostly about vectors (wh
by Steuard 12y ago
In my experience, virtually all of Calc III is "visualizable" (even somewhat esoteric stuff like Lagrange multipliers[1]), because it's mostly about vectors (which have a natural geometric interpretation). My claim would be that to be really good at math, you need to be skilled at both visualization (and other intuitions) and abstract systems. They complement each other well.
[1] E.g. http://www.slimy.com/~steuard/teaching/tutorials/Lagrange.html http://www.slimy.com/~steuard/teaching/tutorials/Lagrange.ht...
- magoghm 12y agoGreat explanation! Thank you.
- jimktrains2 12y agoIt's hard to visualize 4d and 6d systems. That's what I was referring to.
- j2kun 12y agoLagrange multipliers are esoteric? Oh man, I was under the impression that they formed the basis for most many useful optimization techniques :)