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Student Solutions Manual for Gallian's Contemporary Abstract Algebra

Joseph A. Gallian (Autor)

Buch | Hardcover

136 Seiten

2021 | 10th New edition
Taylor & Francis Ltd (Verlag)
978-1-032-02193-5 (ISBN)

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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 Contents

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

Biography

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.

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.

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.

Erscheinungsdatum	16.06.2021
Reihe/Serie	Textbooks in Mathematics
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	1-032-02193-4 / 1032021934
ISBN-13	978-1-032-02193-5 / 9781032021935
Zustand	Neuware