Abstract Algebra An Inquiry Based Approach 2nd Edition by Jonathan Hodge, Steven Schlicker, Ted Sundstrom – Ebook PDF Instant Download/Delivery: 1003814182, 9781003814184
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Product details:
ISBN 10: 1003814182
ISBN 13: 9781003814184
Author: Jonathan K. Hodge; Steven Schlicker; Ted Sundstrom
Abstract Algebra An Inquiry Based Approach 2nd Table of contents:
I Number Systems
- The Integers
- Equivalence Relations and Zn
- Algebra in Other Number Systems
II Rings
4. Introduction to Rings
5. Integer Multiples and Exponents
6. Subrings, Extensions, and Direct Sums
7. Isomorphism and Invariants
III Polynomial Rings
8. Polynomial Rings
9. Divisibility in Polynomial Rings
10. Roots, Factors, and Irreducible Polynomials
11. Irreducible Polynomials
12. Quotients of Polynomial Rings
IV More Ring Theory
13. Ideals and Homomorphisms
14. Divisibility and Factorization in Integral Domains
15. From Z to C
V Groups
16. Symmetry
17. An Introduction to Groups
18. Integer Powers of Elements in a Group
19. Subgroups
20. Subgroups of Cyclic Groups
21. The Dihedral Groups
22. The Symmetric Groups
23. Cosets and Lagrange’s Theorem
24. Normal Subgroups and Quotient Groups
25. Products of Groups
26. Group Isomorphisms and Invariants
27. Homomorphisms and Isomorphism Theorems
28. The Fundamental Theorem of Finite Abelian Groups
29. The First Sylow Theorem
30. The Second and Third Sylow Theorems
VI Fields and Galois Theory
31. Finite Fields, the Group of Units in Zn, and Splitting Fields
32. Extensions of Fields
33. Galois Theory
Index
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Jonathan Hodge,Steven Schlicker,Ted Sundstrom,Abstract Algebra