Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The sixth edition of this text continues the tradition of teaching in a classical manner while integrating field theory and a revised Chapter Zero. New exercises were written, and previous exercises were revised and modified.
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Most Helpful Customer Reviews
9 of 11 people found the following review helpful:
4.0 out of 5 stars
A beautiful book in Abstract Algebra,
This review is from: A First Course in Abstract Algebra (6th Edition) (Hardcover)
"Abstract Algebra" is one of the most important field in mathematics. This book start with some really interesting & understandable examples. The most beautiful part of this book is the Galois Theorem & insolvability of the quintic(the "final" goal), which the example illustracte many confusing that one may get while reading the theorem. However, I stil wish there are more examples in the end of every important theory & ideas. Besides that, it is a pleasure of reading it!
13 of 17 people found the following review helpful:
5.0 out of 5 stars
Still Using it after 36 years,
By
This review is from: A First Course in Abstract Algebra (6th Edition) (Hardcover)
Having taken Algebra (e.g, using van der Warden, Herstein, Lang, MacLane etc) courses in1950's, I found Fraleigh's delightful and informative book the one I continually refer to (still have my 1968 copy) for 'tune ups'. His style is that of a chalk covered tutor/mentor/ friend standing next to you to grasp inductively algebraic mental metaphors which allow you to further grasp their elaborations from Topolgy to Topos. His humor pervades the book (e.g. p11"..e) Mathematicians are eager to have some ambiguity in their work so that it has a better chance of being right [grin]).
Never having had the honor to meet him in person may I use this review to thank him for his pedagogical gem.
2 of 4 people found the following review helpful:
4.0 out of 5 stars
Solid Book for Learning the Basics,
By A Customer
This review is from: A First Course in Abstract Algebra (6th Edition) (Hardcover)
This is a good text to learn the basics of abstract algebra. I would have liked there to be a few problems that were more advanced and perhaps some more interesting applications to geometry. It would also have been nice if specific groups, other than the Klein-4, etc., could have been mentioned at least. Overall, it gives a solid axiomatic approach to abstract algebra.
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Inside This Book
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First Sentence:
You are aware of the use of mathematics in everything from balancing your checkbook to modeling biological, physical, and social situations. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Concepts In Exercises, Computations In Exercises, Repeat Exercise, Isomorphism Extension Theorem, Using Exercise, Axiom of Choice, Main Theorem of Galois Theory, Analogue of Definition, Applications of G-Sets, Camille Jordan, Emmy Noether, Escher Foundation-Baarn-Holland, Every Euclidean, Fermat's Last Theorem, Generalization of Theorem, Leopold Kronecker, Niels Henrik Abel, Richard Dedekind New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
You are aware of the use of mathematics in everything from balancing your checkbook to modeling biological, physical, and social situations. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Concepts In Exercises, Computations In Exercises, Repeat Exercise, Isomorphism Extension Theorem, Using Exercise, Axiom of Choice, Main Theorem of Galois Theory, Analogue of Definition, Applications of G-Sets, Camille Jordan, Emmy Noether, Escher Foundation-Baarn-Holland, Every Euclidean, Fermat's Last Theorem, Generalization of Theorem, Leopold Kronecker, Niels Henrik Abel, Richard Dedekind New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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50
books
cite this book:
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- Disquisitiones Arithmeticae by Carl F. Gauss on page 53, and page 375
- Modern Algebra and Matrix Theory by O Schreier in Back Matter
- Theory of Numbers by Bonnie M. Stewart in Back Matter
- Descartes: Discourse On Method by Laurence J. Lafleur on page 286
- Topics in Algebra by I. N. Herstein in Back Matter
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- Fundamentals of Information Theory and Coding Design (Discrete Mathematics and Its Applications) by Roberto Togneri on page 279, page 318, and page 349
- Semimodular Lattices: Theory and Applications (Encyclopedia of Mathematics and its Applications) by Manfred Stern on page 36, page 52, and Back Matter
- All the Mathematics You Missed: But Need to Know for Graduate School by Thomas A. Garrity on page 228, and Back Matter
- Computing with Mathematica, Second Edition by Margret H. Hoft on page 286, and page 291
- Fundamental Concepts of Topology by P. V. O'neil in Back Matter
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