Abstract Algebra

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More About This Book

Editorial Reviews

Booknews
Text provides undergraduates with an unintimidating introduction to the concepts and methods of fundamental to study of a topic which, after well over a century of unceasing activity, has by today become highly ramified. Six chapters treat groups, rings and fields. In the present edition David J. Winter has attended to housekeeping details, but preserved the organization and style of the original. Many exercises, graded with respect to their difficulty. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780023538223
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 12/28/1989
  • Edition description: 2nd ed
  • Edition number: 2
  • Pages: 300

Table of Contents

Preface
1 Things Familiar and Less Familiar 1
2 Groups 40
3 The Symmetric Group 108
4 Ring Theory 125
5 Fields 176
6 Special Topics (Optional) 215
Index 243
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  • Anonymous

    Posted February 27, 2001

    Not a bad book but I am sure it could be better.

    I want you first to know that I have only read about 3/4 of the book and I have stopped after field extentions. I am trying here to comment on the book from a relatively more advanced point of view because I have had all the subjects in depth in some other classes. I think Hersteins treatment of groups is more than excellent I would not recommend any other book for group theory at the undergraduate level. But he starts loosing this track in his treatment of rings, and I feel he starts getting faster and faster in explaing ideals and I do not think he did it very well. Field extension and Galois theory go even faster. I think you should stop reading the book after group theory and try some other book in the subject of ring theory something like Jacobson's 'Basic Algebra I' for advanced students. But the book is not that bad if you can absorb things fast enough. It even has a chapter about straight edge and compass constructions which is a remarkable subject for me. It even has an optional chapter about the simplicity of the permutation group and some more results on finite abelian groups (If I am not mistaking).

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