- #1
Tucker121
- 3
- 0
- TL;DR Summary
- A inquiry into the inuition of mathematics, in the sense that a mind-map of mathematics is not a well structured machine with each part serving a purpose, but more as in each function and transform has it's own pitfalls that encourage a need for rigour.
Hi,
I have been studying mathematics for quite some time now, and I have an understand of what each topic constituted up unti and including graduate level mathematics. However my computations in each topic are very instructive, as if each topic carries its own instructions for calculations under the rules of that venue or theoreom.
It is a common occurence to hear mathematicians talk about pitfalls and incongurences in what I can only interpret as limit laws and norms.
Some example questions to get us on the same page is:
I am looking for what this 'data set' is ideally, but in the real world it is likely there is some form of control between extrema that I am over-looking, this is what I am asking to be explained.
I have been studying mathematics for quite some time now, and I have an understand of what each topic constituted up unti and including graduate level mathematics. However my computations in each topic are very instructive, as if each topic carries its own instructions for calculations under the rules of that venue or theoreom.
It is a common occurence to hear mathematicians talk about pitfalls and incongurences in what I can only interpret as limit laws and norms.
Some example questions to get us on the same page is:
- How does a norm of an N dimensional space have it's own weaknesses when comparing it's limit laws? That is to say, what are the limit laws being compared to when considering the accuracy of the solution to the theoreom you are using.
- How does the choice of a differential form of a tensor/multi-linear function for a morphism have a weak, dominant or strong topology?
I am looking for what this 'data set' is ideally, but in the real world it is likely there is some form of control between extrema that I am over-looking, this is what I am asking to be explained.