●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
●部分目錄