프렐라이 영문판 솔루션 DownLoad 프렐라이 영문판 솔루션대학 현대대수학 프렐라이 교재 7판 영문 솔루션 자료입니다.(A First Course in Abstract Algebra John B. Fraleigh Seventh Edithion Solution)영문으로 된 교재를 사용하시는 학생들에게 도움이 되는 자료입니다.CONTENTS0. Sets and Relations I. Groups and Subgroups1. Introduction and Examples 2. Binary Operations 3. Isomorphic Binary Structures 4. Groups 5. Subgroups 6. Cyclic Groups 7. Generators and Cayley Digraphs II. Permutations, Cosets, and Direct Products8. Groups of Permutations 9. Orbits, Cycles, and the Alternating Groups 10. Cosets and the Theorem of Lagrange 11. Direct Products and Finitely Generated Abelian Groups 12. Plane Isometries III. Homomorphisms and Factor Groups13. Homomorphisms 14. Factor Groups 15. Factor-Group Computations and Simple Groups 16. Group Action on a Set 17. Applications of G-Sets to Counting IV. Rings and Fields18. Rings and Fields 19. Integral Domains 20. Fermats and Eulers Theorems 21. The Field of Quotients of an Integral Domain 22. Rings of Polynomials 23. Factorization of Polynomials over a Field 24. Noncommutative Examples 25. Ordered Rings and Fields V. Ideals and Factor Rings26. Homomorphisms and Factor Rings 27. Prime and Maximal Ideals 28. Gr¨obner Bases for Ideals VI. Extension Fields29. Introduction to Extension Fields 30. Vector Spaces 31. Algebraic Extensions 32. Geometric Constructions 33. Finite Fields VII. Advanced Group Theory34. Isomorphism Theorems 35. Series of Groups 36. Sylow Theorems 37. Applications of the Sylow Theory 38. Free Abelian Groups 39. Free Groups 40. Group Presentations VIII. Groups in Topology41. Simplicial Complexes and Homology Groups 42. Computations of Homology Groups 43. More Homology Computations and Applications 44. Homological Algebra IX. Factorization45. Unique Factorization Domains 46. Euclidean Domains 47. Gaussian Integers and Multiplicative Norms X. Automorphisms and Galois Theory48. Automorphisms of Fields 49. The Isomorphism Extension Theorem 50. Splitting Fields 51. Separable Extensions 52. Totally Inseparable Extensions 53. Galois Theory 54. Illustrations of Galois Theory 55. Cyclotomic Extensions 56. Insolvability of the Quintic APPENDIX Matrix Algebra교재 각 문제에 대한 영문 솔루션이 있습니다.
자료 (압축파일).zip
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