埃瓦里斯特·伽羅華是法國對函數論、方程式論和數論作出重要貢獻的數學家，他的工作為群論奠定了基礎；在父親自殺后，他放棄投身于數學生涯，注冊擔任輔導教師，結果因撰寫反君主制的文章而被開除，且因信仰共和體制而兩次下獄。伽羅華死于一次近乎自殺的決斗，引起了后人的種種猜測�？赡苁潜槐；逝苫蚓剿づ�，時年21歲。他被公認為是數學史上兩個最具浪漫主義色彩的人物之一。這本《伽羅瓦對應導論(第2版)》是英文版。
PrefaceChapter I.Preliminaries-Groups and Rings1. Introduction to Groups2. Quotient Groups and Sylow Subgroups3. Finite Abelian Groups and Solvable Groups4. Introduction to Rings5. Factoring in F[x]Chapter II. Field Exteio1. Simple Exteio2. Algebraic Exteio3. Splitting Fields and Normal ExteioChapter III. The Galois Correspondence1. The Fundamental Correspondence2. The Solvable CorrespondenceChapter IV. Applicatio1. Cotructibility2. Roots of Unity3. Wedderburn's Theorem3. Dirichlet's Theorem and Finite Abelian GroupsAppendix A - Groups1. Group Actio and the Sylow Theorems2. Free Groups, Generato and RelatioAppendix B - Factoring in Integral Domai1. Euclidean Domai and Principal Ideal Domai2. Prime and Irreducible Elements3. Unique Factorization DomaiAppendix C - Vector Spaces1. Subspaces, Linear Independence and Spanning2. Bases and DimeionBibliogr
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