Solving 19th-Degree Polynomial Equations Using Ezouidi’s Theorem

In this monumental 50th publication, Professor Mourad Sultan Ezouidi, renowned for his pioneering work in solving high-degree polynomial equations, challenges centuries-old mathematical boundaries by delivering exact symbolic solutions for 19th-degree polynomials. Classical algebra teaches that general equations of degree five or higher cannot be solved by radicals. This belief—rooted in Abel’s impossibility theorem and Galois theory—has persisted for over 200 years. However, Ezouidi’s Theorem opens a new frontier. Through an advanced recursive structure and symbolic coefficient transformations, this method constructs exact roots without any approximations, bypassing the failure of classical and modern numerical methods. This book includes: A full exposition of Ezouidi’s Theorem as applied to 19th-degree equations The symbolic structure of roots derived from recursive Verification of solutions using pure algebra, not floating-point approximations A mathematical declaration: Abel’s theorem does not apply to specific structured 19th-degree polynomials Designed for mathematicians, PhD researchers, symbolic computation theorists, and professors