Undergraduate algebra
"Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text." "For the Third Edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder's proof of the Mason-Stothers polynomial abc theorem."--Jacket
SpringerLink
1 online resource (xi, 385 pages) : illustrations
9780387274751, 9780387220253, 9786611334284, 0387274758, 0387220259, 6611334289
209819691
Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index
English