The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this book's main strengths as it introduces abstract algebra. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Theorem proofs do more than just prove the stated results, they are examined so readers can gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight.
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Titles of related interest from Waveland Press: Beachy-Blair, Abstract Algebra, Third Edition (ISBN 9781577664437) and Hillman-Alexanderson, Abstract Algebra: A First Undergraduate Course, Fifth Edition (ISBN 9781577660828).
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5 of 5 people found the following review helpful:
4.0 out of 5 stars
A good book for a great class,
By
This review is from: Abstract Algebra: A First Course (Hardcover)
I used this text for a one semester course on Group Theory in the spring of 2007. It's a great text for reference, but time is required to really grasp the concepts. I wouldn't recommend it as a book to teach yourself with, but with a good professor on your side it's a valuable asset. Another interesting (I'm not sure if I would consider it positive or negative) thing about this book is that problems are not merely examples of material covered in the text, but important theorems are also assigned for the students to prove on their own.
4 of 7 people found the following review helpful:
4.0 out of 5 stars
Excellent,
By Gabriel A. Gobea (Jacksonville, Tx.) - See all my reviews
This review is from: Abstract Algebra: A First Course (Hardcover)
This book had some great examples. The examples help me to understand abstract concepts. The proofs were very well constructed.
4 of 7 people found the following review helpful:
5.0 out of 5 stars
A wonderful text.,
By A Customer
This review is from: Abstract Algebra: A First Course (Hardcover)
Concise and wonderfully coherent, this book isn't filled with "fluff" such as dumb examples and spoonfed advice. Clearly targeted for a mathematically inclined class of undergraduate modern algebra students, you will find the immense amount of knowledge and the price of this book to be absolutely pleasing.
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First Sentence:
One of the most fundamental notions in any part of mathematics is that of a set. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
commutative ring with unity, proper prime ideal, containing ker, field iff, onto homomorphism, right cosets, nonidentity element, nonconstant polynomials, nontrivial automorphism, associative binary operation, left cosets, nonabelian group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lagrange's Theorem, Example Let, Prove Theorem, Sylow Theorems, Cayley's Theorem, Eisenstein's Criterion, Fermat's Last Theorem, First Sylow Theorem, Use Exercise, Examples Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
One of the most fundamental notions in any part of mathematics is that of a set. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
commutative ring with unity, proper prime ideal, containing ker, field iff, onto homomorphism, right cosets, nonidentity element, nonconstant polynomials, nontrivial automorphism, associative binary operation, left cosets, nonabelian group Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lagrange's Theorem, Example Let, Prove Theorem, Sylow Theorems, Cayley's Theorem, Eisenstein's Criterion, Fermat's Last Theorem, First Sylow Theorem, Use Exercise, Examples Let New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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