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Schaum's Outline of Abstract Algebra [Paperback]

D. C. Arangno (Author)
3.0 out of 5 stars  See all reviews (9 customer reviews)


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Paperback, December 22, 1998 --  
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Schaum's Outline of Abstract Algebra (Schaum's Easy Outlines) Schaum's Outline of Abstract Algebra (Schaum's Easy Outlines) 3.0 out of 5 stars (9)
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Book Description

December 22, 1998 0070069956 978-0070069954
In the STUDY GUIDES series. First published in 1965 the new edition identifies significant theorems and illustrates them with examples, covers classic topics in abstract algebra also includes a glossary summarizing symbols and notations. Aimed at undergraduates and graduates of mathematics and engineering.


Editorial Reviews

About the Author

Lloyd Jaisingh, Ph.D. is professor of mathematics at Morehead State University and is the author of several books.

--This text refers to an alternate Paperback edition.

Product Details

  • Paperback: 228 pages
  • Publisher: Mcgraw-Hill (December 22, 1998)
  • Language: English
  • ISBN-10: 0070069956
  • ISBN-13: 978-0070069954
  • Product Dimensions: 10.7 x 8 x 0.6 inches
  • Shipping Weight: 15.2 ounces
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (9 customer reviews)
  • Amazon Best Sellers Rank: #3,066,878 in Books (See Top 100 in Books)

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Customer Reviews

9 Reviews
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Average Customer Review
3.0 out of 5 stars (9 customer reviews)
 
 
 
 
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17 of 24 people found the following review helpful:
1.0 out of 5 stars this book is out of date, June 11, 2004
By 
I think that most of schaum's series are out of date. In particular, Schaum's "abstract algebra" is not an exception. I bougut this book to prepare my course, Abstract Algebra 1. But this book was full of stuff which is not relevant to the subject. For example, it deals in matix and boolen algebra, which are excluded in most of Alstract Algebra courses in universities. And it doesn't contains stuff about Galois' Theory. Galois' theory can be called the aim to learn Abstract Algebra. I cannot help confessing that to read this book is to waste time. It would confuse you rather than help. You cannout build the outline of Abstract Algebra with this book. I think that it is becase this book was too old-fashioned.
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7 of 10 people found the following review helpful:
2.0 out of 5 stars Not impressed, January 9, 2001
By 
Joseph S. Riel (San Diego, CA United States) - See all my reviews
(REAL NAME)   
This review is from: Schaum's Outline of Abstract Algebra (Paperback)
I was not impressed with this book. The author appears to make quite a few errors, both in the definitions and in the examples, enough so that I could not be sure what was intended. I cannot recommend this as a tutorial in abstract algebra. However, the confusion did force me to think about the subject.
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4 of 6 people found the following review helpful:
5.0 out of 5 stars Excellent Abstract Algebra Book - Simple explanation yet cover wide scope, May 6, 2008
I read about 20 books on Abstract Algebra, but I still find this book excellent for Math students who have not been exposed to Abstract Math before. This book serves as a bridge from High-school 'computational' Math to the University Math which is based on abstract proof of Math structures.

I have not seen a similar excellent book on Abstract Algebra which could cover the vast topics in such systematic manner: from Set, Relation, N,Z,Q,R,C, building a solid foundation, before attacking the 'gems' in Group, Ring, Field, Polynomial, Matrices & Linear Algebra.

The selling point of this book is the 450 exercises at end of each chapter. Keeping the core definitions and theorems at each chapter while leaving the proofs later in the exercises, this allows the reader to browse thru' the topics quickly without being burderned by the nitty-gritty details of proof which would slow down the reading.

Granted, Galois Group is not covered in details. However, one has to compromise that the Galois Group is too advanced a topic to deserve another big volume to cover. The example given 'Gal C/R' explains, to my opinion, a clear view of what Galois Group is: Group of automorphism of functions, sub-field (or splitting field), etc. You can grasp what a Galois Group is in 1 single page, rather than reading a 100-page book but still have a faint idea of what 'Gal K/F' is?

My only comment is there are quite a few typo mistakes in Definitions, Theorem reference numbers, which are easily spotted if you understand the topics.

I sincerely hope there will be a 3rd edition of this book soon.
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Inside This Book (learn more)
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First Sentence:
In this chapter, we study the concept of sets. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dual canonical form, complete canonical form, maximal invariant subgroup, row canonical matrix, right distributive with respect, octic group, associated characteristic vectors, possible rational zeros, corresponding quotient groups, abelian additive group, cyclic notation, ordered integral domain, commutative ring with unity, incongruent solutions, elementary row transformations, ring with respect, positive primes, minimum polynomial, unique factorization theorem, prime polynomial, invariant subgroups, composition series, principal ideal ring, column transformations, residue classes modulo
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solved Problems, Supplementary Problems, Cancellation Law, Closure Law, Sylow Theorems, Cauchy's Theorem, Partial Ans, Two Boolean
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