New Edition: A Course on Abstract Algebra (2nd Edition)This
textbook provides an introduction to abstract algebra for advanced
undergraduate students. Based on the authors' lecture notes at the
Department of Mathematics, National Chung Cheng University of
Taiwan, it begins with a description of the algebraic structures of
the ring and 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. Ring
theory forms the second part of abstract algebra, with the ring of
polynomials and the matrix ring as basic examples. The general
theory of ideals as well as maximal ideals in the rings of
polynomials over the rational numbers are also discussed. The final
part of the book focuses on field theory, field extensions and then
Galois theory to illustrate the correspondence between the Galois
groups and field extensions.This 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.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Release date: |
March 2010 |
First published: |
September 2010 |
Authors: |
Minking Eie
• Shou-Te Chang
|
Dimensions: |
229 x 152 x 25mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
372 |
ISBN-13: |
978-981-4271-88-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
981-4271-88-8 |
Barcode: |
9789814271882 |
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