What is...experimental mathematics?
Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...experimental mathematics? Or: Subfields of mathematics 8.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-TeX-files
Thumbnail.
https://en.wikipedia.org/wiki/Birch_and_Sw...
Main discussion.
https://en.wikipedia.org/wiki/Experimental...
https://en.wikipedia.org/wiki/Mersenne_prime
https://en.wikipedia.org/wiki/Euler%27s_su...
https://en.wikipedia.org/wiki/Bailey%E2%80...
https://en.wikipedia.org/wiki/Four_color_t...
Background material.
https://en.wikipedia.org/wiki/Conjecture
https://en.wikipedia.org/wiki/Metalogic
https://en.wikipedia.org/wiki/Experimental...)
https://en.wikipedia.org/wiki/Numerical_an...
https://en.wikipedia.org/wiki/Mathematical...
https://en.wikipedia.org/wiki/Counterexample
https://en.wikipedia.org/wiki/Proof_by_exh...
https://en.wikipedia.org/wiki/Mathematical...
Computer talk.
https://en.wikipedia.org/wiki/Mathematical...
https://en.wikipedia.org/wiki/Category:Mat...
Pictures used.
https://en.wikipedia.org/wiki/Birch_and_Sw...
https://en.wikipedia.org/wiki/Mersenne_pri...
https://en.wikipedia.org/wiki/Euler%27s_su...
Picture from https://en.wikipedia.org/wiki/Bailey%E2%80...
https://www.snexplores.org/wp-content/uplo...
https://en.wikipedia.org/wiki/Four_color_t...
https://en.wikipedia.org/wiki/Four_color_t...
YouTube and co.
• Marc Chamberland: A Course in Experimental...
• experimental mathematics techniques for bo...
• A Progress Report on an Experimental Mathe...
#computation
#computerscience
#mathematics