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Introduction to Abstract Algebra 3/e

作者：Keith Nicholson
原價：NT$ 1,400

ISBN：9780471694922
版次：3
年份：2007
出版商：John Wiley

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內容介紹本書特色目錄作者介紹

Description
A new edition of a successful book, Introduction to Abstract Algebra, Third Edition, is intended for a one or two semester abstract algebra course. The writing style is appealing to students and a great effort is made to motivate and be very clear about how the topics and applications relate. Over 500 solved examples are included to aid the understanding of the reader and to demonstrate how results in the theory are actually obtained. Many applications (particularly to coding theory and to combinatorics) are given which show how the abstract structures relate to real-world problems. In addition, historical notes and biographies of mathematicians put the subject into perspective.

Features

This book's focus is on the high end of modern algebra; however, it is targeted for today's student (who may not be as strong in mathematics as in the past).

Real world applications are given to show the utility of the abstract concepts.

The book is self-contained, and is thus ideal for self-study.

Hundreds of exercises, with varied levels of difficulty, are included. Over 500 answers are included at the end of the books. This new edition includes new exercises and additional answers are also provided.

An accompanying Student Solution Manual is available. Exercises from the book have been selected and the solutions are presented in an understandable way for students.

The number of pages has been reduced to make the book user-friendlier.

New to this Edition

Hundreds of exercises, with varied levels of difficulty, are included. Over 500 answers are included at the end of the books. This new edition includes new exercises and additional answers are also provided.

An accompanying Student Solution Manual is available. Exercises from the book have been selected and the solutions are presented in an understandable way for students.

Table of Contents
0. Preliminaries.
1. Integers and Permutations.
2. Groups.
3. Rings.
4. Polynomials.
5. Factorization in Integral Domains.
6. Fields.
7. Modules over Principal Ideal Domains.
8. p-Groups and the Sylow Theorems.
9. Series of Subgroups.
10. Galois Theory.
11. Finiteness Conditions for Rings and Modules.

W. KEITH NICHOLSON, PhD, is a Professor in the Department of Mathematics and Statistics at the University of Calgary in Alberta, Canada. Dr. Nicholson has published numerous textbooks and monographs throughout his career. He received his PhD in Pure Mathematics from the University of California at Santa Barbara, and his current research interests include clean rings, morphic rings, and module theory.

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