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Top rated abstract algebra books
Here are some top-rated abstract algebra books, widely used and recommended by mathematicians and students:
- "Abstract Algebra" by David S. Dummit and Richard M. Foote: This comprehensive textbook is considered a classic in the field, covering topics such as group theory, ring theory, and field theory.
- "A First Course in Abstract Algebra" by John A. Fraleigh: This book provides an introduction to abstract algebra, focusing on groups, rings, and fields. It's a great resource for beginners.
- "Algebra" by Serge Lang: This book covers a broad range of topics in algebra, including group theory, ring theory, and Galois theory. It's a bit more advanced, but still accessible to undergraduates.
- "Abstract Algebra: An Introduction" by Thomas W. Hungerford: This book provides a gentle introduction to abstract algebra, covering the basics of group theory, ring theory, and field theory.
- "Group Theory" by Joseph J. Rotman: This book focuses specifically on group theory, providing a detailed and rigorous treatment of the subject.
- "Introduction to Abstract Algebra" by Keith Nicholson: This book provides a concise and accessible introduction to abstract algebra, covering topics such as groups, rings, and fields.
- "Abstract Algebra: A Concrete Introduction" by Robert H. Redfield: This book uses a concrete approach to introduce abstract algebra, focusing on examples and applications.
- "Algebra: A Graduate Course" by I. Martin Isaacs: This book is designed for graduate students, providing a comprehensive and advanced treatment of abstract algebra.
- "Abstract Algebra: Theory and Applications" by Thomas W. Judson: This book covers the basics of abstract algebra, with a focus on applications to computer science and other fields.
- "Galois Theory" by Ian Stewart: This book provides a detailed treatment of Galois theory, a fundamental area of abstract algebra.
These books are all highly rated and widely used, but the best one for you will depend on your background, goals, and learning style. You may want to browse through a few to find the one that suits you best.
Rating criteria:
- Amazon ratings (average rating out of 5 stars)
- Goodreads ratings (average rating out of 5 stars)
- Reviews from mathematicians and students
- Coverage of topics and level of difficulty
- Clarity and accessibility of the writing style
Recommendations for specific audiences:
- Beginners: Fraleigh, Hungerford, or Nicholson
- Undergraduates: Dummit and Foote, Lang, or Rotman
- Graduate students: Isaacs or Judson
- Researchers: Lang, Rotman, or Stewart
Note: This is not an exhaustive list, and there are many other excellent abstract algebra books available.
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