埃瓦裡斯特·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；在父親自殺後，他放棄投身於數學生涯，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。伽羅華死於一次近乎自殺的決鬥，引起了後人的種種猜測。可能是被保皇派或警探所激怒而致，時年21歲。他被**為是數學**兩個*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。

Preface
Chapter I.Preliminaries-Groups and Rings
1. Introduction to Groups
2. Quotient Groups and Sylow Subgroups
3. Finite Abelian Groups and Solvable Groups
4. Introduction to Rings
5. Factoring in F[x]
Chapter II. Field Extensions
1. Simple Extensions
2. Algebraic Extensions
3. Splitting Fields and Normal Extensions
Chapter III. The Galois Correspondence
1. The Fundamental Correspondence
2. The Solvable Correspondence
Chapter IV. Applications
1. Constructibility
2. Roots of Unity
3. Wedderburn's Theorem
3. Dirichlet's Theorem and Finite Abelian Groups
Appendix A - Groups
1. Group Actions and the Sylow Theorems
2. Free Groups, Generators and Relations
Appendix B - Factoring in Integral Domains
1. Euclidean Domains and Principal Ideal Domains
2. Prime and Irreducible Elements
3. Unique Factorization Domains
Appendix C - Vector Spaces
1. Subspaces, Linear Independence and Spanning
2. Bases and Dimension
Bibliogr