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"Galois Theory" as a book category covers texts about the algebraic study of polynomial equations via field extensions and symmetry — specifically the connection between field extensions and permutation groups of roots (Galois groups). It includes introductory and advanced textbooks, lecture notes, problem books, computational guides, and historical or biographical treatments that develop the fundamental theorem of Galois theory, separable and normal extensions, solvability by radicals, cyclotomic and finite field examples, and applications to number theory, geometry, and cryptography. Typical readers range from advanced undergraduates familiar with basic group and ring theory to graduate students and researchers; books in the category vary from gentle expositions and worked-problem collections to rigorous, research-level monographs.

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