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A truly damn stupid idea! Calculus is the darling bit of mathematics, it's [mostly] simple, sweet and truly wonderful. You can do so much with it. Just chuck
by hilbert42 6y ago
A truly damn stupid idea! Calculus is the darling bit of mathematics, it's [mostly] simple, sweet and truly wonderful. You can do so much with it. Just chuck in a function or two then utter the magic words In the limit and now you've got calculus to a tee. You can now:
- Do a few 'partials' with Schrödinger's wave equation—and, if you're lucky, you can simultaneously snuff the cat out of existence!
- With Euler's formula—the most beautiful† equation ever written—you can manipulate e, π and i then muck about in the complex plane—and if you so wish, you can even attempt to circularly-polarize some radio waves by applying aspects of said formula!
- Do some signal processing using the Hilbert transform, for instance you can now use it cancel out background noise on your smartphone, and,
- Even teach young kiddies some calculus and at the same time show them its true value and beauty by using Zeno's paradox. That's the one where a frog sits on a stone in the middle of a pool and attempts to jump across the water to the pool's edge. On his first hop he jumps half the distance to edge but the trouble is that with each new jump he only jumps half the distance of his previous one: 1/2 + 1/4 + 1/8 + 1/16 + 1/32, ad infinitum, until his jumps sum fully up to one—that being the full distance. …However, Zeno says gloatingly that he never makes it as 'infinitum' gets in his way and stops him from ever achieving sufficient jumps needed to complete the full distance, which, in the limit, adds to a sum total of one.
Not to be defeated or vanquished, you wheel out calculus, utter the magic words In the limit and calculus springs forth with a loud proclamation "That frog made the full distance, as his feet are too big".
Here endeth Calculus Lesson One for six to eight-year olds!
Now, how many of you will vote to pillory the proposer of this mad suggestion to kill off calculus?
† Mathematicians, don't you dare even think about restarting 'that' argument here! ;-)