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
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,
after Issac Newton and Gottfried Leibniz opened up Calculus for Leonhard Euler to be ….
“Read Euler, read Euler, he is the master of us all.”-Pierre-Simon Laplace
Leonhard Euler, Architect Rational, (/ˈɔɪlər/ oy-lər; ); (15 April 1707 – 18 September 1783) was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, astronomy, and music theory.
Euler is considered to be the pre-eminent mathematician of the 18th century and one of the greatest mathematicians to have ever lived. He is also one of the most prolific mathematicians; his collected works fill 60–80 quarto volumes. They haven’t finished publishing all his work. The publishing of all his work won’t be completed well into this century.
A statement attributed to Pierre-Simon Laplace expresses Euler’s influence on mathematics: “Read Euler, read Euler, he is the master of us all.” [Wikipedia, revised]
They are the master designers of all kinds of theoretical systems, including school curricula, corporate strategies, and new technologies. For Architects, the world exists primarily to be analyzed, understood, explained – and re-designed. External reality in itself is unimportant, little more than raw material to be organized into structural models. What is important for Architects is that they grasp fundamental principles and natural laws, and that their designs are elegant, that is, efficient and coherent. [Please Understand Me II]