|Mar14-13, 07:07 PM||#35|
What is the point of studying maths at a very high level?
|Mar14-13, 07:10 PM||#36|
I had written the specifcation for putting some new gizmo into a finite element analysis code, full of details of numerical integration, how to evaluate Jacobians, etc.
It came back from my boss with the comment "You could make this a lot shorter by <insert half a page of divs, grads, curls, and double and triple integrals here>"
So I sent a note back saying "OK, but if this is a spec for a computer program, how would you actually write the code"?
The answer: "You do it your way, of course".
|Mar16-13, 12:04 PM||#37|
I recently read A Universe in Zero Words, a book about the history and influence of important equations (if you want some examples of crazy mathematicians, read the chapter about the types of infinities-the outcome for a couple of those mathematicians, i.e. Godel, was not so great) and developed a strong appreciation for mathematics, especially geometry. A great read.
Also, as someone else mentioned, math and physics sometimes develop at different rates, and the math Pauli needed was already developed, etc. For more examples, read Euclid's Window, a book about the major mathematical revolutions and their connections with physics. Is mathematics inherent, or a construct? It has to do with the definition but maybe we'll never know...It has already been proven that math can't be proven (Universe in Zero Words)!
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