Abstract algebra : an inquiry based approach /

Bibliographic Details
Main Authors:	Hodge, Jonathan K., 1980 (Author), Schlicker, Steven, 1958- (Author), Sundstrom, Ted (Author)
Corporate Authors:	Taylor & Francis, Taylor and Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2013.
Edition:	First edition.
Series:	Textbooks in mathematics (Boca Raton, Fla.).
Subjects:	Algebra, Abstract > Textbooks. Algebra, Abstract. MATHEMATICS / Algebra / Intermediate. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

part I The Integers
chapter 1 The Integers: An Introduction
chapter 2 Divisibility of Integers
chapter 3 Greatest Common Divisors
chapter 4 Prime Factorization
part II Other Number Systems
chapter 5 Equivalence Relations and Zn
chapter 6 Algebra in Other Number Systems
part III Rings
chapter 7 An Introduction to Rings
chapter 8 Integer Multiples and Exponents
chapter 9 Subrings, Extensions, and Direct Sums
chapter 10 Isomorphism and Invariants
part IV Polynomial Rings
chapter 11 Polynomial Rings
chapter 12 Divisibility in Polynomial Rings
chapter 13 Roots, Factors, and Irreducible Polynomials
chapter 14 Irreducible Polynomials
chapter 15 Quotients of Polynomial Rings
part V More Ring Theory
chapter 16 Ideals and Homomorphisms
chapter 17 Divisibility and Factorization in Integral Domains
chapter 18 From Z to C
part VI Groups
chapter 19 Symmetry
chapter 20 An Introduction to Groups
chapter 21 Integer Powers of Elements in a Group
chapter 22 Subgroups
chapter 23 Subgroups of Cyclic Groups
chapter 24 The Dihedral Groups
chapter 25 The Symmetric Groups
chapter 26 Cosets and Lagrange's Theorem
chapter 27 Normal Subgroups and Quotient Groups
chapter 28 Products of Groups
chapter 29 Group Isomorphisms and Invariants
chapter 30 Homomorphisms and Isomorphism Theorems
chapter 31 The Fundamental Theorem of Finite Abelian Groups
chapter 32 The First Sylow Theorem
chapter 33 The Second and Third Sylow Theorems
part VII Special Topics
chapter 34 RSA Encryption
chapter 35 Check Digits
chapter 36 Games: NIM and the 15 Puzzle
chapter 37 Finite Fields, the Group of Units in Zn, and Splitting Fields
chapter 38 Groups of Order 8 and 12: Semidirect Products of Groups.