Softcover ISBN:  9781470435837 
Product Code:  STML/82 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470440442 
Product Code:  STML/82.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9781470435837 
eBook: ISBN:  9781470440442 
Product Code:  STML/82.B 
List Price:  $108.00 $83.50 
Softcover ISBN:  9781470435837 
Product Code:  STML/82 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470440442 
Product Code:  STML/82.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9781470435837 
eBook ISBN:  9781470440442 
Product Code:  STML/82.B 
List Price:  $108.00 $83.50 

Book DetailsStudent Mathematical LibraryVolume: 82; 2017; 277 ppMSC: Primary 00; 12; 13; 15; 20
This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for selfstudy. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
ReadershipUndergraduate and graduate students interested in teaching and learning undergraduate algebra.

Table of Contents

Chapters

Introduction

Integers and integers mod $n$

Groups

Rings

Linear algebra and canonical forms of linear transformations

Fields and Galois theory

Suggestions for further reading


Additional Material

Reviews

A collection of very interesting problems covering almost all the topics of abstract algebra for advanced undergraduates or beginning graduate students is presented through five very main chapters of this book...It is surely a problem book that if it is correctly used can upgrade the level of the reader in abstract algebra.
Panayiotis Vlamos, Zentralblatt MATH 
It is well known that students learn best by doing, and, in that vein, Wadsworth's new text will help many algebra students. As the title alludes, this book is a collection of exercises about the firstyear abstract algebra sequence, but it focuses more on exploratory topics than on the basics. Readers willing to work out each exercise will gain a deep understanding of algebra...The most appreciative audience will be graduate students preparing for algebra exams, for which this is a perfect study guide.
A. Misseldine, CHOICE 
I'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course.
Fernando Q. Gouvêa, MAA Reviews


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for selfstudy. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
Undergraduate and graduate students interested in teaching and learning undergraduate algebra.

Chapters

Introduction

Integers and integers mod $n$

Groups

Rings

Linear algebra and canonical forms of linear transformations

Fields and Galois theory

Suggestions for further reading

A collection of very interesting problems covering almost all the topics of abstract algebra for advanced undergraduates or beginning graduate students is presented through five very main chapters of this book...It is surely a problem book that if it is correctly used can upgrade the level of the reader in abstract algebra.
Panayiotis Vlamos, Zentralblatt MATH 
It is well known that students learn best by doing, and, in that vein, Wadsworth's new text will help many algebra students. As the title alludes, this book is a collection of exercises about the firstyear abstract algebra sequence, but it focuses more on exploratory topics than on the basics. Readers willing to work out each exercise will gain a deep understanding of algebra...The most appreciative audience will be graduate students preparing for algebra exams, for which this is a perfect study guide.
A. Misseldine, CHOICE 
I'll certainly be using some of the problems the next time I teach algebra. I'm even tempted to make it the only textbook for the course.
Fernando Q. Gouvêa, MAA Reviews