Student Solutions Manual for Gallian's Contemporary Abstract Algebra By Joseph A. Gallian
2021 | 131 Pages | ISBN: 0367766809 | PDF | 8 MB
Whereas many partial solutions and sketches for the odd-numbered exercises appear in the book, the Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and large number of even-numbered exercises. This Manual also offers many alternative solutions to those appearing in the text. These will provide the student with a better understanding of the material.This is the only available student solutions manual prepared by the author of Contemporary Abstract Algebra, Tenth Edition and is designed to supplement that text.Table of ContentsIntegers and Equivalence Relations0. PreliminariesGroups1. Introduction to Groups2. Groups3. Finite Groups; Subgroups4. Cyclic Groups5. Permutation Groups6. Isomorphisms7. Cosets and Lagrange's Theorem8. External Direct Products9. Normal Subgroups and Factor Groups10. Group Homomorphisms11. Fundamental Theorem of Finite Abelian GroupsRings12. Introduction to Rings13. Integral Domains14. Ideals and Factor Rings15. Ring Homomorphisms16. Polynomial Rings17. Factorization of Polynomials18. Divisibility in Integral Domains FieldsFields19. Extension Fields20. Algebraic Extensions21. Finite Fields22. Geometric ConstructionsSpecial Topics23. Sylow Theorems24. Finite Simple Groups25. Generators and Relations26. Symmetry Groups27. Symmetry and Counting28. Cayley Digraphs of Groups29. Introduction to Algebraic Coding Theory30. An Introduction to Galois Theory31. Cyclotomic ExtensionsBiographyJoseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.