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Problems in Abstract Algebra
 
A. R. Wadsworth University of California, San Diego, CA
Problems in Abstract Algebra
Softcover ISBN:  978-1-4704-3583-7
Product Code:  STML/82
List Price: $59.00
Individual Price: $47.20
eBook ISBN:  978-1-4704-4044-2
Product Code:  STML/82.E
List Price: $49.00
Individual Price: $39.20
Softcover ISBN:  978-1-4704-3583-7
eBook: ISBN:  978-1-4704-4044-2
Product Code:  STML/82.B
List Price: $108.00 $83.50
Problems in Abstract Algebra
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Problems in Abstract Algebra
A. R. Wadsworth University of California, San Diego, CA
Softcover ISBN:  978-1-4704-3583-7
Product Code:  STML/82
List Price: $59.00
Individual Price: $47.20
eBook ISBN:  978-1-4704-4044-2
Product Code:  STML/82.E
List Price: $49.00
Individual Price: $39.20
Softcover ISBN:  978-1-4704-3583-7
eBook ISBN:  978-1-4704-4044-2
Product Code:  STML/82.B
List Price: $108.00 $83.50
  • Book Details
     
     
    Student Mathematical Library
    Volume: 822017; 277 pp
    MSC: 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 self-study. 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.

    Readership

    Undergraduate 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
  • 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 first-year 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 822017; 277 pp
MSC: 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 self-study. 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.

Readership

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 first-year 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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