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Abstract Algebra download ebook

by David Dummit,Richard M. Foote

Abstract Algebra download ebook
ISBN:
0130047716
ISBN13:
978-0130047717
Author:
David Dummit,Richard M. Foote
Publisher:
Prentice Hall College Div (November 1990)
Language:
Pages:
658 pages
ePUB:
1556 kb
Fb2:
1484 kb
Other formats:
docx azw doc lrf
Category:
Mathematics
Subcategory:
Rating:
4.7

David S. Dummit, Richard M. Foote. Widely acclaimed algebra text. This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics.

David S. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. This is a really good book that explained abstract algebra in a very clear, concise manner

David S. This is a really good book that explained abstract algebra in a very clear, concise manner. If only it had solutions or hints to its exercises, which it doesn't have any at all, this book would be perfect for an undergraduate introduction to the subject. The key to learning and understanding abstract algebra is to see lots and lots of worked out examples.

David Dummit Richard Foote June, 2003 xii Preface. Preliminaries Some results and notation that are used throughout the text are collected in this chapter for convenience.

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Abstract Algebra book. David S. Although a book of abstract algebra, this book lacks the rigor when it comes to the explanation of definition and proof.

Widely acclaimed algebra text. Dummit; Richard M.

Reviews:
  • Jogrnd
This review is from the perspective of a junior Ph.D student in Mathematics who does not have a particularly strong interest in Algebra, who read a lot of this book in preparation for a qualifying written exam.

This book is awesome for self-studying. It contains so much information, presented very, very clearly, in the logical order than one expects things, with the desired intuition always present, by way of a deluge of relevant and interesting examples. There is a vast amount of exercises too, ranging from the very easy to quite difficult. One drawback is that the ocean of information sometimes obscures the main key points of each topic (which occurs less often in other presentations of the same material, like Jacobson's Basic Algebra I, for example). Also, it is my (beginner's) opinion that the presentation on rational canonical/Jordan forms in Chapter 12 is inferior to that found in Jacobson's Basic Algebra. On every other respect, however, I think this book is vastly superior to the alternatives. I can't recommend it enough.
  • Kizshura
Provides the basis for the integration of all the crazy subdivisions of abstract algebra under the unifying context of Category Theory. The algebraically initiated reader wanting to learn CT from scratch can start with Appendix II, hammer the axioms, definitions and concepts while referring back to the body of the text for examples and exercises. What may have been a confusing hodgepodge of variations on a few basic themes can begin to correlate like the pieces of a puzzle coming together to form an integrated single construct: a beautiful painting.
  • SupperDom
This is an absolutely thorough treatment of Algebra. Countless (perhaps borderline excessive) examples, tons of exercises (endless exercises), and the proofs are detailed enough for beginners to understand. At the same time, there are just an insane amount of topics that are covered; I would consider this /the/ reference for Algebra.
  • Dusho
I used this book in an advanced undergraduate/master's level algebra course. I mostly used this book for exercises but on the occasion that I read the chapters they were friendly enough and readily digestible. The real pro about this book is the high number of non-trivial exercises. There are more than enough to get a good feeling out of any topic in the book and problems range from relatively straightforward to moderately sophisticated. There are also a good deal of computational problems of varying difficulty and many worked out examples in the book. As for the book's organization: the sections on group theory don't follow the best pattern, to me, but there is nothing seriously wrong with it. Sometimes D+F's proofs can be excessively wordy or miss proper quantifiers, but for the most part everything is easy enough to follow. D+F's exposition is decent, but I've read better. I seldom used this book to teach myself a subject without first learning about it in lecture, so I can't comment too much here.

The price is fairly high, but the book is huge. There is plenty of material here and it's arguably one of the few math books worth the list price. Nevertheless, you'd be better off finding a used copy as there are most likely many people who could not handle the subject and returned the book. If you're serious about learning algebra this is a must-have book. It will prepare you well for more advanced studies. There also seems to be a problem with the binding as my book and many of my classmates had problems with the cover ripping or spine splitting.
  • Umrdana
This is probably one of the best introductions to higher mathematics. The text provides a very clear foundation for much of the concepts encountered in the field, and gives numerous excellent examples of more refined and rigorous proofs. I would suggest perusing the work even before undergraduate education (particularly if you have a clear interest in mathematics), as the mode of thought presented therein will certainly be a boon to your analytic endeavors at all levels. Group theory, after all, does not even require a complete mastery of advanced calculus or linear algebra to be understood acceptably, so the sooner you expose yourself to the concepts in Dummit and Foote, the better.