| Preface Notes to the Reader List of Symbols I Galois Theory 1 Field Extensions 2 Automorphisms 3 Normal Extensions 4 Separable and Inseparable Extensions 5 The Fundamental Theorem of Galois Theory II Some Galois Extensions 6 Finite Fields 7 Cyclotomic Extensions 8 Norms and Traces 9 Cyclic Extensions 10 Hilbert Theorem 90 and Group Cohomology 11 Kummer Extensions III Applications of Galois Theory 12 Discriminants 13 Polynomials of Degree 3 and 4 14 The Transcendence of and e 15 Ruler and Compass Consturctions 16 Solvability by Radicals Ⅳ Infinite Algebraic Extensions Ⅴ Transcendental Extensions Appendix A Ring Theory Appendix B Set Theory Appendix C Group Theory Appendix D Vector Spaces Appendix E Topology References |
内容加载中，请稍后...
商品评论（0条）