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Contemporary Abstract Algebra [Hardcover]

Joseph Gallian (Author)
2.3 out of 5 stars  See all reviews (6 customer reviews)

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Book Description

January 8, 2009 0547165099 978-0547165097 7
Contemporary Abstract Algebra 7/e provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students.

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Product Details

  • Hardcover: 574 pages
  • Publisher: Brooks Cole; 7 edition (January 8, 2009)
  • Language: English
  • ISBN-10: 0547165099
  • ISBN-13: 978-0547165097
  • Product Dimensions: 9.2 x 6.5 x 1.2 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 2.3 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #243,148 in Books (See Top 100 in Books)

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Customer Reviews

6 Reviews
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Average Customer Review
2.3 out of 5 stars (6 customer reviews)
 
 
 
 
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9 of 11 people found the following review helpful:
3.0 out of 5 stars Good, but not great, August 3, 2010
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This review is from: Contemporary Abstract Algebra (Hardcover)
Abstract algebra is an inherently abstract, formal, non-intuitive subject, and while it can be made less difficult, it cannot be made easy. Gallian's book is a valiant attempt at the latter. The book shies away from precise definitions, formal proofs, and that elusive thing known as "mathematical maturity." However, abstract algebra simply cannot be satisfactorily taught without at least a minimum of these things, and is best taught in as formal of an environment as possible. As such, I cannot recommend Gallian's book to those who wish to learn abstract algebra on a late undergraduate/beginning graduate level. However, for the advanced high school student who wishes to study abstract algebra early, Gallian's book is excellent in that it does not presume that the student has had much prior exposure to advanced mathematics.
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1.0 out of 5 stars Not My First Choice, February 11, 2012
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This review is from: Contemporary Abstract Algebra (Hardcover)
This book is one of the worst Modern Algebra books I have seen. This was a required text for our undergraduate algebra course. As a previous reviewer stated, which I feel is worth stating again, they develop very little math in each chapter. This book would be better if Dr. Gallian would drop the applications from this text (Modern Algebra is not an applied course at most universities), as well as the history sections on mathematicians and replace that with information in the chapters that have something to do with the homework questions. It would also save a lot of space.

Unless you absolutely need this overpriced book, save your money and get a better one.
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3.0 out of 5 stars OK book to go with a good instructor, January 28, 2012
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This review is from: Contemporary Abstract Algebra (Hardcover)
I had to buy this book for my Abstract Algebra I class. I felt that this book worked OK because of the quality of my professor, but I do not feel it is a good book if you want to teach yourself and are new to the concepts in it. There are many places where the proof will say "clearly" or another similar phrase when it is most definitely not clear to any one but the author. Also the answers on the back of the book are not really answers at all- I remember one problem saying- "see proof of Theorem __ on page ___" which said "refer to Theorem __ on page ___" which said "proof is left as Exercise #___" so while it was clear that the proofs would all be similar- none of them were given, so there really was no answer.

All in all I am not selling back my book because I feel that it has some good concepts in it, but I am also hanging onto my notes from class in order to interpret the book at a later date if need be.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
algebraic coding theory, group homomorphisms, polynomial rings, algebraic extensions, quadratic formula, message encoder, field forf, involving adjacent digits, coset decoding, disjoint cycle form, subfield lattice, internal direct product, two check digits, external direct product, uniqueness portion, frieze groups, commutative ring with unity, unmarked straightedge, nonzero code word, plane symmetry groups, noncyclic subgroup, nonisomorphic groups, digit incorrect, constructible numbers, subgroup test
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cengage Learning, All Rights Reserved, Special Topics, Lagrange's Theorem, New York, Fermat's Last Theorem, Mathematics Magazine, Nobel Prize, Fundamental Theorem of Finite Abelian Groups, University of Chicago, The American Mathematical Monthly, Scientific American, Burnside's Theorem, Prove Theorem, Cayley Diagraphs of Groups, American Mathematical Society, Sylow's Third Theorem, External Direct Products, Cayley's Theorem, Fundamental Theorem of Galois Theory, Sylow Theorems, Extension Fields, Factorization of Polynomials, Well Ordering Principle, Irreducibility Test
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