Galois theory is related to group theory, which is a powerful method employed in the analysis of abstract and physical systems that contain symmetry. Group theory plays a critical role in many scientific areas: it is the fundamental basis of the space of quantum mechanics; classical mechanical geometric symmetries are understood using group theory; the development of non-Euclidean geometry by Lagrange in the 19th century is hinged on group theory; the development of algebraic structures of linear and vector spaces is based on group theory; and the analysis and understanding of molecular systems in detail is accomplished only by employing group theory. Galois theory is a generalized field theory that is the mathematical interpretation of group theory. Mathematically, group theory is the basis of real analysis and has had powerful implications in the development of many other areas of mathematics. Evariste Galois, a French mathematician, is...