Scientific Python and Julia tutorials

2 of 216 tutorials

Tool Python Advanced 35 min

Galois groups with SymPy: why x⁵ − x − 1 has no formula in radicals

Afterwards you can compute the Galois group of a polynomial of degree at most 6 with SymPy and decide from it whether the roots have a formula in radicals.

Symbolic mathematics Mathematics

Tool Python Intermediate 40 min

Hückel theory with SymPy: exact orbital energies of butadiene and benzene

Afterwards you can compute exact Hückel energies, delocalization energies, and bond orders with SymPy's eigenvals and eigenvects, and prove the 4n + 2 rule.

Linear algebraSymbolic mathematics Chemistry, Physics