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Abstract Algebra: A Student-Friendly Approach 1st Edition

by Laura L. Dos Reis (Author), Anthony J. Dos Reis (Author)
4.6 4.6 out of 5 stars 125 ratings
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If you are studying abstract algebra independently or are having trouble understanding your professor, this is the book for you. It not only makes learning abstract algebra easy, it also gets you to think mathematically and to do mathematics while reading the book. It covers all the traditional topics in an introductory course. Its only prerequisite is high school algebra.
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  1. ISBN-10
    1539436071
  2. ISBN-13
    978-1539436072
  3. Edition
    1st
  4. Publication date
    March 18, 2017
  5. Language
    English
  6. Dimensions
    8.5 x 0.82 x 11 inches
  7. Print length
    364 pages
  8. See all details
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Product details

  • Publisher ‏ : ‎ CreateSpace Independent Publishing Platform; 1st edition (March 18, 2017)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 364 pages
  • ISBN-10 ‏ : ‎ 1539436071
  • ISBN-13 ‏ : ‎ 978-1539436072
  • Item Weight ‏ : ‎ 0.066 ounces
  • Dimensions ‏ : ‎ 8.5 x 0.82 x 11 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 125 ratings

Customer reviews

4.6 out of 5 stars
4.6 out of 5
125 global ratings

Top reviews from the United States

Chris C.
5.0 out of 5 stars Great Presentation
Reviewed in the United States on April 11, 2020
Verified Purchase
This book presents abstract algebra in a non-intimidating and conceptually understandable way. It doesn't assume a mastery of the material before even presenting it, as many abstract algebra texts do. If you are fairly competent with intermediate level math (college algebra, trig, calculus, linear algebra, etc) in general, you will be familiar with much of the material presented at first--but a bit of review never hurt anyone. If not, this book does bridge the gap pretty well in the first few chapters.

By the time you get through this material, you will have had a great introduction to most of the main topics from abstract algebra. You can then move on to one of the more rigorous treatments without being mystified, despondent, or enraged half the time as you go through such texts.

The only negative I have to offer is that there are a fair amount of typos, especially in the practice exercises. Most of the time they are fairly obvious, but be careful not to take some of the typos literally and not even notice. If you do this in the exercises, you may find yourself trying to prove something to be true that is really false.

Also, I think there could definitely be more exercises, and unfortunately, half the exercises do not have solutions in the book. That's not all that uncommon, but I disagree with the oft-stated value of doing it that way.

Overall, though, if you have not seen abstract algebra before and you are at a reasonable level of "mathematical maturity," this is a great place to start discovering abstract algebra. The teaching style, methodology, and presentation is great. The authors go out of their way to guide you through the abstract algebra forest, rather than trying to get you lost and calling you names (or worse yet, dense) when you can't find your way out. This text is helpful rather than pompous.
12 people found this helpful
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D E Conner
5.0 out of 5 stars A very helpful book
Reviewed in the United States on February 7, 2020
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This book truly is a very helpful introduction to abstract algebra (also known as "modern algebra" or "mathematical structures"). The book jacket's claim that the only prerequisite is high school algebra is, in my opinion, accurate. The authors define the symbols of mathematical logic such as ⊂, ⊃, ∼, ≁, ∃, ∈, ∋, ⇒, and ⇔, explaining them both verbally and by the use of truth tables. The underlying logic is presented clearly and concisely. Student exercises are provided not only at the end of each chapter but interspersed throughout the text as each new concept is is introduced. The book is a bit unwieldy (8½" X 11"), but this is designed to accommodate the reader's written notes and exercises.
I believe the book would be appropriate for math students. However, I myself am a philosopher-theologian now writing a review of a book about the philosophy of Alfred North Whitehead. The book I am reviewing makes the claim that Whitehead's philosophy is easier to understand for persons who are able to "think algebraically." (Whitehead himself was a mathematician.) I have studied Whitehead enough to think that studying abstract algebra might indeed by helpful in interpreting his work—especially his "theory of extension."
Whether or not that proves to be true, I do recommend the Dos Reis book on Abstract Algebra without hesitation. It is clearly written from beginning to end, starting by introducing set theory and then offering a comprehensive, accessible treatment of a subject that has often been presented abstrusely.
22 people found this helpful
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Frank the Tank
5.0 out of 5 stars Excellent Book for Self-Study / Supplemental Class Instruction
Reviewed in the United States on October 23, 2017
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Excellent for the self-learner: explanations are clear and concise with plenty of worked examples. Dos Reis doesn't obfuscate in the standard manner of a math author. If you are struggling with the class, not because of your math ability but rather because your textbook and/or instructor is terse, then this is what you need.
10 people found this helpful
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Kindle Customer
5.0 out of 5 stars Fantastic text!
Reviewed in the United States on November 13, 2021
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This is one of the most accessible abstract algebra I have ever seen in my career. It is at a more elementary level, but this text explain how to do basic proofs, and well as easily explaining subjects that are usually considered difficult for an upper level undergrad course. Cosets and homomorphism are well explained compared to most abstract algebra texts. So, I highly recommend this text.
One person found this helpful
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Michael Borella
4.0 out of 5 stars Good book, some caveats
Reviewed in the United States on June 21, 2020
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This is a very good book. If you want to learn Abstract Algebra, it is a great place to start. A few caveats, however.

1) Lots of typos. Some are obvious, but they can be distracting.

2) About halfway through the book gets less friendly. It begins moving quickly through more difficult topics.

3) Starting with the treatment of cosets in particular, more examples would have been very helpful.
20 people found this helpful
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Joel E. Rowlett
5.0 out of 5 stars Excellent resource for those desiring to UNDERSTAND abstract algebra.
Reviewed in the United States on August 16, 2019
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This book explains in detail how to solve numerous problems in abstract algebra. It is structured in a manner that allows the reader to reference material previously discussed in the text to create a sense of continuity. The language and style render this book to be one of the best supplemental materials for the serious student who finds typical abstract algebra texts a bit too nebulous.
5 people found this helpful
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Charlie S.
5.0 out of 5 stars Great for Self Study
Reviewed in the United States on December 18, 2017
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I was looking for a self-study guide and this is really working well. The cover still haunts me though, am I being led to my death through this forest ?
20 people found this helpful
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SRIPATHY
5.0 out of 5 stars Good Introductory textbook Abstract Algebra. Good Price
Reviewed in the United States on October 11, 2019
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For advanced undergraduates & beginner graduate students of Mathematics. Good introductory book at Beginner to Intermediate level. Very good affordable price. Fast shipping & delivery. Written by an experienced teacher.
2 people found this helpful
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Top reviews from other countries

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Juan Jacobo Mora
5.0 out of 5 stars Provee mucha intuición
Reviewed in Mexico on October 25, 2021
Verified Purchase
Lo uso para mi curso de Álgebra Abstracta I, curso enfocado en hacer demostraciones. Aunque por sí solo no es suficiente para este fin, con frecuencia la intuición que proporciona el resolver los ejercicios da la pauta para la formalización. Para estudiantes de ingeniería en computación y de química donde lo que se requiere es aplicar la teoría de grupos puede ser un excelente material de autoestudio.
One person found this helpful
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Chansa Chiwele
5.0 out of 5 stars Excellent
Reviewed in the United Kingdom on February 27, 2023
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Clearly, the two authors have a very good understanding of the concepts of abstract algebra. They emphasise understanding of these concepts and not rote learning. Excellent book. Can the authors give us more books on abstract algebra, please. Many thanks to them for this book.
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Client d'Amazon
5.0 out of 5 stars Five Stars
Reviewed in Canada on July 9, 2018
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OK
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Chalapathi
1.0 out of 5 stars Basic
Reviewed in India on December 23, 2019
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Fundamental
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renato seibezzi
5.0 out of 5 stars algebra astratta
Reviewed in Italy on September 16, 2019
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Il libro è fatto molto bene. segue il metodo dell'istruzione programmata e fa costruire a poco a poco allo studente le risposte ai quesiti che gli autori richiedono. E' probabilmente il primo libro di algebra astratta che ognuno dovrebbe leggere per avere una traccia di questa materia abbastanza impenetrabile.
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