Low Price Guarantee
We Take School POs
A Course on Abstract Algebra: Second Edition
Contributor(s): Eie, Minking (Author), Chang, Shou-Te (Author)

View larger image

ISBN: 9813229624     ISBN-13: 9789813229624
Publisher: World Scientific Publishing Company
OUR PRICE: $83.60  

Binding Type: Hardcover - See All Available Formats & Editions
Published: September 2017
Qty:
Additional Information
BISAC Categories:
- Mathematics | Algebra - Abstract
- Mathematics | Group Theory
- Mathematics | Algebra - Linear
Dewey: 512.02
LCCN: 2017038817
Physical Information: 0.94" H x 6" W x 9" L (1.64 lbs) 432 pages
Features: Index
 
Descriptions, Reviews, Etc.
Publisher Description:

This textbook provides an introduction to abstract algebra for advanced undergraduate students. Based on the authors' notes at the Department of Mathematics, National Chung Cheng University, it contains material sufficient for three semesters of study. It begins with a description of the algebraic structures of the ring of integers and the field of rational numbers. Abstract groups are then introduced. Technical results such as Lagrange's theorem and Sylow's theorems follow as applications of group theory. The theory of rings and ideals forms the second part of this textbook, with the ring of integers, the polynomial rings and matrix rings as basic examples. Emphasis will be on factorization in a factorial domain. The final part of the book focuses on field extensions and Galois theory to illustrate the correspondence between Galois groups and splitting fields of separable polynomials.

Three whole new chapters are added to this second edition. Group action is introduced to give a more in-depth discussion on Sylow's theorems. We also provide a formula in solving combinatorial problems as an application. We devote two chapters to module theory, which is a natural generalization of the theory of the vector spaces. Readers will see the similarity and subtle differences between the two. In particular, determinant is formally defined and its properties rigorously proved.

The textbook is more accessible and less ambitious than most existing books covering the same subject. Readers will also find the pedagogical material very useful in enhancing the teaching and learning of abstract algebra.

 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!