E-raamat: Student Solutions Manual for Gallian's Contemporary Abstract Algebra

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Joseph A. Gallian

Formaat: PDF+DRM
Sari: Textbooks in Mathematics
Ilmumisaeg: 12-May-2025
Kirjastus: Chapman & Hall/CRC
Keel: eng
ISBN-13: 9781040304037

Teised raamatud teemal:

Algebra

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Formaat: PDF+DRM
Sari: Textbooks in Mathematics
Ilmumisaeg: 12-May-2025
Kirjastus: Chapman & Hall/CRC
Keel: eng
ISBN-13: 9781040304037

Teised raamatud teemal:

Algebra

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"Redesigned for the 11th edition of Contemporary Abstract Algebra, Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and a 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, Eleventh Edition and the only official one. It is designed to supplement the text and the author's original approach to instruction"--

This is the only available student solutions manual prepared by the author of Contemporary Abstract Algebra, Eleventh Edition and the only official one. It is designed to supplement the text and the author’s original approach to instruction.

Redesigned for the 11^th edition of Contemporary Abstract Algebra, Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and a 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, Eleventh Edition and the only official one. It is designed to supplement the text and the author’s original approach to instruction.

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

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.

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