For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials ... these ideas to cubic and quartic equations using formulas ...

What C# can do for studying Finite Groups, quotient groups, semi-direct products, homomorphisms, automorphisms group, characters table, minimalistic rings and fields manipulations, polynomials ...

Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, and Institute of Applied Mathematics of Yunnan Province, Kunming, Yunnan 650093, P. R. China ...