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It's about Robert Langlands of https://en.wikipedia.org/wiki/Langlands_program https://en.wikipedia.org/wiki/Langlands_program >linking math’s main branches —
by fouc 9y ago
It's about Robert Langlands of https://en.wikipedia.org/wiki/Langlands_program https://en.wikipedia.org/wiki/Langlands_program
>linking math’s main branches — number theory (once called arithmetic), harmonic analysis, which includes calculus, and geometry.
>To mathematicians, this is mind-blowing stuff. The branches deal with completely different things: number theory is about, yes, numbers, harmonic analysis studies motion and geometry deals with shapes. They may as well be different planets.
- naasking 9y agoDifferent planets on which you find all of Shakespeare's works, depsite no apparent common origin.
- 7dare 9y agoI think that may be an exxageration. I study maths at a much lower level and the teacher regarily points out links between these domains. I believe number theory is already strongly linked with analysis.
- whatshisface 9y agoThose links only became apparent after centuries of development in total isolation. Now that we know they are there, we involve them in teaching because they change how we see things.