Tag Archives: Euler

A Master of Us All

Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.Albert Einstein

This garden universe vibrates complete,
Some, we get a sound so sweet.
Vibrations, reach on up to become light,
And then through gamma, out of sight.
Between the eyes and ears there lie,
The sounds of color and the light of a sigh.
And to hear the sun, what a thing to believe,
But it’s all around if we could but perceive.
To know ultra-violet, infra-red, and x-rays,
Beauty to find in so many ways.

Two notes of the chord, that’s our poor scope,
And to reach the chord is our life’s hope.
And to name the chord is important to some,
So they give it a word, and the word is OM.
Graeme Edge, Moody Blues

euler_mosaic

There have been many times I have heard an individual say something to the effect: I hate (don’t like, don’t do) “math.”  Shame on our ignorant “math” educational system, but now with the Khan Academy there is no excuse for such a lament from our kids.

I always enjoyed “math” — hey, I am a nerd from the sixties.  But I “hit a wall” in mathematics in the second-year of college. And even modern “mathematicians” have to “specialize” because the “difficulties” of “mathematics”. Practically all believe that mathematics, even for the “mathematicians,” is too vast and large to now to “see” the whole elephant (so to speak).

In mathematics you don’t understand things. You just get used to them.
— John Von Neumann

Someday information science [in some form of Formatics] will encompass all of math and science, but until then:

The religion of Mathematics is a Master of Us All.

Except when in the 1700’s,
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The Number

1729

I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen.

No,” he replied, “it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways”

— G. H. Hardy

Euler Function on the Complex Plane

Yep, it is ALSO the first absolute Euler pseudoprime.  Unique.  Sui Generis.

raman

  Just like The Man Who Knew Infinity:
 Srinivasa Ramanujan:   Sui Generis

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