Student Solutions Manual for Gallian's Contemporary Abstract Algebra

ISBN-13: 9780367766801 / Angielski / Miękka / 2021 / 131 str.

Joseph A. Gallian

Opis

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.

 

Spis treści

Integers and Equivalence Relations. 0. Preliminaries. Groups. 1. Introduction to Groups. 2. Groups. 3. Finite Groups; Subgroups. 4. Cyclic Groups. 5. Permutation Groups. 6. Isomorphisms. 7. Cosets and Lagrange's Theorem. 8. External Direct Products. 9. Normal Subgroups and Factor Groups. 10. Group Homomorphisms. 11. Fundamental Theorem of Finite Abelian Groups. Rings. 12. Introduction to Rings. 13. Integral Domains. 14. Ideals and Factor Rings. 15. Ring Homomorphisms. 16. Polynomial Rings. 17. Factorization of Polynomials. 18. Divisibility in Integral Domains Fields. Fields. 19. Extension Fields. 20. Algebraic Extensions. 21. Finite Fields. 22. Geometric Constructions. Special Topics. 23. Sylow Theorems. 24. Finite Simple Groups. 25. Generators and Relations. 26. Symmetry Groups. 27. Symmetry and Counting. 28. Cayley Digraphs of Groups. 29. Introduction to Algebraic Coding Theory. 30. An Introduction to Galois Theory. 31. Cyclotomic Extensions.

O autorze

Joseph 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.