# A First Course in Abstract Algebra

This is possibly one of the most elegant books on mathematics I have ever read. It really motivates the many of the definitions rather then just throwing them at you which many other authors do (like Lang, but that's not really an introductory book anyways). The best part of this book is the range of difficulty in exercises. Not only is this book good for learning algebra, it is good for learning the art of doing mathematics. The only one criticism I have on the book is its glossed hand-waving t This is possibly one of the most elegant books on mathematics I have ever read. It really motivates the many of the definitions rather then just throwing them at you which many other authors do (like Lang, but that's not really an introductory book anyways). The best part of this book is the range of difficulty in exercises. Not only is this book good for learning algebra, it is good for learning the art of doing mathematics. The only one criticism I have on the book is its glossed hand-waving treatment for homological algebra (which the author could very well have just left out completely) which gives a slightly misleading idea on what homological algebra is about. But the author makes up for this by stating that it really isn't an essential part of the book. In my opinion, homological algebra is too sophisticated of a subject to treat in a textbook like this....more

Extremely well-written. I used it for my first course in algebra and also as a cross reference in other courses, for instance Galois theory. The author explains the concepts in a natural and easy way. A very nice read, indeed.

I believe this is one of the most succesful textbook designed for the beginners of abstract algebra.I used this book for my first step in abstract algebra. It is clearly written and also well-motivated. Beside the basic part of algbra, it also contains some introductions to Sylow theorem and Galois theory and also some topics related to other areas such as the introduction to algebraic topology. It offers abundant examples after each definition and theorem and the exercises after each section in I believe this is one of the most succesful textbook designed for the beginners of abstract algebra.I used this book for my first step in abstract algebra. It is clearly written and also well-motivated. Beside the basic part of algbra, it also contains some introductions to Sylow theorem and Galois theory and also some topics related to other areas such as the introduction to algebraic topology. It offers abundant examples after each definition and theorem and the exercises after each section involving some true-or-false questions to help you clarify your concept. Most of the problems are not too difficult, and for some harder problems the author also gives hints. In my opinion, this book is appropriate to use both as a class material and as a book for self-studying. To sum up, I

recommand this good book to all beginners of abstract algebra!! ...more

i used an oldschool version of this text to learn introductory abstract algebra. it was brilliant.

old-fashioned and clear, with no distracting pictures or annoying applications. i think the new one got spiced up a bit for the modern audience, so try to get your hands on the one with the cloth cover from the sixties. it's all the basics on groups, rings, and fields.

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In general, for physics students there is no need to read the whole book and only the above chapters are needed for all practical purposes at undergraduate level. In particular, one at least need to learn Group Action. Chapter 1-3 are the most essential introduction, while chapter 4,5,7,8 are for completeness.

The style is rather informal and hence should be accessible to many first readers. However, for some reason I did not find it very 'accessible'; indeed there are abundant examples to look t

In general, for physics students there is no need to read the whole book and only the above chapters are needed for all practical purposes at undergraduate level. In particular, one at least need to learn Group Action. Chapter 1-3 are the most essential introduction, while chapter 4,5,7,8 are for completeness.The style is rather informal and hence should be accessible to many first readers. However, for some reason I did not find it very 'accessible'; indeed there are abundant examples to look through and tons of exercises to work with, some of them extremely useful to cement understanding. However, for unknown reasons (which I suspect to be just a matter of compatibility of style of the user and the author), I do not find his explanations enlightening, nor the informal discussion particularly explanatory of some difficult concepts. For example, factor groups are well written here but I do not find it comfortable enough to understand it fully. I do agree on the fact that his examples help very well.Therefore this review was read up to chapter 3 only up to group action. I will come back again for the exercises/review or if there is a need to visit other chapters such as groups in topology.

...moreA really well written introduction to abstract algebra. This should be studied first before moving to the more mature text by Artin. Picking up Artin's text before having some background in abstract algebra can be a nightmare.

Abstract Algebra is one of the most interesting and engaging math classes. I think it's a very good book with a sufficient number of examples and detailed explanations.

Category: Abstract