Joseph A. Gallian

Student Solutions Manual for Gallian's Contemporary Abstract Algebra (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 137
• Erscheinungstermin: 14. Juni 2021
• Englisch
• ISBN-13: 9781000403589
• Artikelnr.: 62035737

Autorenporträt

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.

Inhaltsangabe

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.

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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