Curriculum Vitae

Abdelouahab Mostafa

Master's student in fundamental mathematics, interested in analysis and topology.

Institution

University of Mila

Department

Fundamental Mathematics

Location

Mila, Algeria

Publications & Notes

Mathematics

How Many Real Roots? A 19th-Century Algorithm That Never Fails

Counting Real Roots Without Solving: Sturm's Theorem How many real roots does the polynomial x^5 - 3x^2 + 1 have? Not how many complex roots — the Fundamental Theorem of Algebra...

beginner10 min

Number of real roots, counting multiplicities, of the cubic $p_t(x) = (1+t^2)x^3 - 3t^3 x + t^4$

For each real value of the parameter t, determine the number of real roots, counting multiplicities, of the cubic polynomial