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Adding infinitesimals
#21
RE: Adding infinitesimals
(March 15, 2016 at 8:02 am)Alex K Wrote:
(March 15, 2016 at 7:56 am)Jehanne Wrote: Thanks; that makes the concept much clearer.  When I first took calculus 30 years ago, the class was not taught with infinitesimals; in fact, they weren't even mentioned.

Maybe not exactly in this form, on usually talks about Leibniz's differentials dx or whatever you want to call them. You must have used the Leibniz calculus df/dx and all that in differentiation and integration, right?

My classes used the standard 3-semester textbook, with the introduction to calculus being based upon limits.  I am sure that limits and infinitesimals are intimately related; however, approaching things from the perspective of infinitesimals has, for me at least, made things easier to understand.
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#22
RE: Adding infinitesimals
(March 15, 2016 at 10:27 am)robvalue Wrote: Now those do sound like robot acrobats Tongue

I like christoids better.
No-one does acrobatics as well or as often.

Hey Rob, what's the square root of infinity?
Use crayons to explain it better for me if you need to.
Also infinity divided by infinity =1. Obviously! Now where's my Nobel prize?
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#23
RE: Adding infinitesimals
Lol good point Big Grin

The square root of infinity is colon surgery.
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#24
RE: Adding infinitesimals
(March 15, 2016 at 9:33 pm)Jehanne Wrote:
(March 15, 2016 at 8:02 am)Alex K Wrote: Maybe not exactly in this form, on usually talks about Leibniz's differentials dx or whatever you want to call them. You must have used the Leibniz calculus df/dx and all that in differentiation and integration, right?

My classes used the standard 3-semester textbook, with the introduction to calculus being based upon limits.  I am sure that limits and infinitesimals are intimately related; however, approaching things from the perspective of infinitesimals has, for me at least, made things easier to understand.

My calculus lectures at Uni were done by pure mathematicians and also didn't use the dx symbols. Doing it using limits is more rigorous I guess, or at least more obviously rigorous Smile
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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#25
RE: Adding infinitesimals
Are there infinitesimal oxymoron's? Like jumbo shrimp?
God(s) and religions are man made and the bane of humanity. 

Of all the things I've lost, I miss my mind the most. Ozzy or Twain/take your pick
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#26
RE: Adding infinitesimals
Army intelligence?
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#27
RE: Adding infinitesimals
Gigantic infinitesimal. Galactic infinitesimal.
God(s) and religions are man made and the bane of humanity. 

Of all the things I've lost, I miss my mind the most. Ozzy or Twain/take your pick
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#28
RE: Adding infinitesimals
My personal favorite, for gravitational lensing- "Taking a galaxy as a point mass...". Freaked out a lot of kids in physics class. I just rolled with it. The universe is a really big place, and galaxies aren't all that big, relatively speaking.
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