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Title: Abstract Algebra
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Manufacturer: Wiley
List Price: $152.95
Our Price: $56.99
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| Customer Reviews: |
| Abstract Algebra by Wiley Love the presentation of the material | This text will freak you out at first if you have never done proofs, or linear algebra at a rigorous level. My professor said that linear algebra and mathematical maturity are definitively things to possess before attempting to deal with this text, and not having those two things was a disadvantage.
However, if you're on your own (as I have been in my study of math), I can recommend some great preparatory books.
I am working on some analysis and algebra and the following have helped me:
Modern Algebra and Trigonometry - Moore (may be out of print - great book though)
Elementary Real and Complex Analysis - Shilov (calculus, basic measure)
Linear Algebra - Shilov
those three texts should get you to a point of mathematical independence where you may conquer dummit. | | Abstract Algebra by Wiley Great graduate algebra text | | Compare this book to certain other ones (like Lang's Algebra, Hungerford's Algebra, etc.) and you'll agree, this one is way better. Most other books are too terse to study from, especially if you're studying on you own. But this one seems to cover the material pretty well, without falling into that trap. | | Abstract Algebra by Wiley The Bible of Algebra | | This book is the best to understand hard concepts of abstract algebra. The exposition is excellent and it is easy to find anything you need. | | Abstract Algebra by Wiley useful text for an undergrad course | Hilariously, I found this book in a local library, in the section devoted to primary school and high school maths. I guess the "Algebra" in the title suggested this location to some librarian. Anyhow, not to worry. I informed the library and they will reshelve this book in a better place.
And what of the book itself? It makes an excellent text for an undergrad maths course. In no small part because the authors have stuffed a huge number of exercises into each chapter. An intense workout for the dedicated reader, and a wide variety of choices to the instructor.
Ring and module theories are developed at a fairly rigourous pace. While finite dimensional vector spaces are also covered, as a natural accompaniment. Some readers might be already familiar with its treatment of matrix manipulations and multilinearity. Indeed, the use of matrices may be more natural to you, when modules are discussed. | | Abstract Algebra by Wiley Excellent for an introductory abstract algebra book; clear and comprehensive | This is a great book! It's introductory, appropriate for undergrads taking abstract algebra for the first time, but it is very comprehensive, useful for more advanced students as well. Although it explains the material in great depth and at a slow pace, it does so in a logically sound manner. The authors provide rich motivation and always introduce material with an eye towards more advanced material to come later. It is rich in cross-references, helping people to develop connections between the different parts of the material, and allowing the reader to jump around once she has mastered the basics. One of the best aspects of this book is that it contains a wealth of concrete examples in every section; this is critical for helping beginners master such an abstract subject.
I find this book to be ideal for self-study and outstanding as a reference: it is very comprehensive and its presentations are clear. The book is still valuable to advanced students, both as review and for the advanced material; the earlier chapter's exercises may seem easy, but they are a fun challenge if you try to do them in your head. Few graduate students will have already covered all the material in this book...it gets into some galois theory, representation theory, modules, homological algebra, even some algebraic geometry. It covers almost all the topics in algebra that a general mathematician would need (as well as many that she might not need); the only glaring omission is that lattices and boolean algebras are not mentioned, but this material is easy to find elsewhere. This book has a clearer presentation of some of the more advanced material than I have been able to find elsewhere--in particular, it has a gentle (and yet rich) introduction to modules. Even if you enjoy denser texts, you will find this book offers something they do not--it's great to fall back on if you absolutely need to understand something quickly and clearly, and the examples are immensely valuable.
I would recommend this book for use as a textbook at all levels from undergraduate through graduate work, although for graduate students it may be better suited for use as a reference or for self-study. This book would also be very useful as a supplement to an instructor teaching abstract alegbra courses at various levels.
This book is well-complemented by the books by Lang and Isaacs. Isaac's book offers a more streamlined, theorem-proof approach that is denser and devoid of examples, and his exercises are harder; this presentation will help the reader attain a greater degree of mathematical maturity. Lang's book is more sparse when it comes to proofs; reading it would be a good exercise to undertake after working through the background material in this book. Lang's book is also rich in examples, but it places more emphasis on applications to other branches of mathematics (i.e. outside of pure algebra), whereas this text focuses more on the connections within Algebra itself. | | Abstract Algebra by Wiley Product Description | 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. 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.
* The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible. |
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