伽罗瓦理论（第2版）（英文版）

Galois Theory (2nd Edition) presents clear and detailed proofs as compared to the first edition, and is a must-read for anyone interested in algebra, number theory, or computer science. The book begins with symmetry groups of polygons as a guide to understanding the theory, making the concept approachable and comprehensible even to beginners. Additionally, new theorems on irreducibility are introduced, offering complete proof and numerous exercises. The text covers a broad range of topics including basic Galois theory, the solvability of equations by radicals, and the Galois group of cubic, quartic and quintic equations. The author supplements the theory with additions on group theory, geometric constructions with ruler and compass, and the history of Galois theory, making this book a valuable resource for both undergraduate and graduate students alike. At roughly 800 pages, this edition is not for the faint of heart, but it is well worth the effort for anyone seeking a thorough understanding of Galois theory.