Here you can find lecture notes and other material I have prepared for the subject Experimental Mathematics I taught at The University of Melbourne in 2014. It was the first time teaching that subject and the notes are quite rough.
The notes are written mostly in markdown but with heavy use of latex blocks not only for formulas but also to make use of the tufte latex package.
- Interger relation detection
- Bifurcation points of the logistic map
- Gröbner basis
- The quest for pi
- More on BBP formulas
The second part covered automated summation of hypergeometric series and followed the book A=B by Petkovsek, Wilf and Zeilberger.
Ten problems in Experimental Mathematics by Bailey, Borwein, Kapoor and Weisstein, Amer. Math. Monthly 113, 481-509, 2006. Preprint available here.
Feedback, contributions, pull-requests and high-fives are very welcome.