Galois theory

Etymology
Standardly constructed calque of (which was used as a section heading in 1870,, Traité des substitutions et des équations algébriques). First appeared in print in 1893,.

Ultimately, named after French mathematician (1811-1832), who first developed the theory to explore how the roots of a given polynomial equation relate to each other.

Noun

 * 1)  The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations. It provides a link between field theory and group theory: it permits certain problems in the former to be reduced to the latter, which in some respects is simpler and better understood.
 * 2) * 1992, Journal of Contemporary Mathematical Analysis, Volume 27, Allerton Press, page 4,
 * Though often our results are prompted by the classical or parallel Galois theories, their proofs are completely different and are based on the set-theoretical approach.
 * 1) * 1992, Journal of Contemporary Mathematical Analysis, Volume 27, Allerton Press, page 4,
 * Though often our results are prompted by the classical or parallel Galois theories, their proofs are completely different and are based on the set-theoretical approach.

Translations

 * French:
 * Italian: teoria di Galois