I reviewed a little about rings and polynomial rings over this past weekend and I wanted to try to collect the resources I come across here. My aim for abstract algebra is to apply to (of course) topological field theory AND (unprecedentedly) to aerospace engineering, namely combustion CFD (computational fluid dynamics).
Cornell Math 4320 Solutions (probably more “around” this link
Using Sage Math for Abstract Algebra, especially in conjunction with jupyter notebooks, should be the way forward in the 21st century, and from there, digging deeper into various C/C++ libraries. The jupyter notebook I keep is in my qSApoly github repository:
Givaro – C++ library for arithmetic and algebraic computations
Fedora package for givaro, givaro.