Serge Lang as undergraduate algebra text

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Discussion Overview

The discussion revolves around the suitability of Serge Lang's "Algebra" as a textbook for undergraduate algebra courses. Participants share their experiences and opinions regarding its effectiveness for teaching and learning abstract algebra, comparing it to other texts in the field.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants have used Lang's "Algebra" as a reference but do not recommend it as a primary textbook for beginners.
  • One participant notes that the book lacks examples, which may hinder learning for those new to the subject.
  • Another participant suggests Mike Artin's book as a better alternative, citing it as well-written with interesting examples, while also mentioning Dummitt and Foote for their exercises and clarity.
  • There is a suggestion that a good professor can make any book work, but a different supporting text is recommended for those encountering abstract algebra for the first time.
  • Clarification is sought regarding whether the discussion pertains to Lang's graduate-level text or an undergraduate version, with links provided to both books.
  • One participant expresses a belief that there may be a typo on the college website regarding the recommended text and advises contacting the professor for clarification.

Areas of Agreement / Disagreement

Participants generally express disagreement regarding the appropriateness of Lang's "Algebra" for beginners, with multiple competing views on its effectiveness compared to other texts. The discussion remains unresolved regarding the best choice for an undergraduate algebra course.

Contextual Notes

Some participants mention the need for additional resources to support learning, indicating that Lang's text may not be adequate for all students, especially those new to abstract algebra.

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Good day,
Did anyone here use Serge Lang's "Algebra" as an undergraduate text?
 
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I've used it as a reference for undergraduate algebra-related courses, but I would not recommend it as a main textbook. It's really something that you read once you already know the material and want to learn to think about algebra in categorical terms.
 
I did not do this and I do not recommend anyone else do it either. The last time I tried to teach from this book to a graduate level algebra class, it blew them away. Briefly there are almost no examples, hence the beginner does not learn much. I recommend Mike Artin's book, Algebra, and even that is a bit terse for a beginner, but well written and full of interesting examples. Dummitt and Foote has great exercises and clear statements, but some of the proofs seem unenlightening to me.
 
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mathwonk said:
I did not do this and I do not recommend anyone else do it either. The last time I tried to teach from this book to a graduate level algebra class, it blew them away. Briefly there are almost no examples, hence the beginner does not learn much. I recommend Mike Artin's book, Algebra, and even that is a bit terse for a beginner, but well written and full of interesting examples. Dummitt and Foote has great exercises and clear statements, but some of the proofs seem unenlightening to me.
Ok well unfortunately, it's not my decision. I was just wondering. I am in an undergraduate abstract algebra class which is using this.

Edit: yes, I've heard good things about Artin.
 
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I am mind boggled. of course I hasten to say a good professor can lecture in a way that makes any class work, and any rteasonable book can be used cleverly as backup. But I recommend strongly that you obtain a different book for support. There are some really good things in Lang, but if this is your first encounter with abstract algebra, it is definitely not adequate. Just to be clear, you are talking about the gradiuate algebra book right?

https://www.amazon.com/dp/038795385X/?tag=pfamazon01-20

Or does he have another book?
 
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mathwonk said:
I am mind boggled. of course I hasten to say a good professor can lecture in a way that makes any class work, amd the book can be used cleverly as backup. But I recommend strongly that you obtain a different book for support. There are some really good things in Lang, but if this is your first encounter with abstract algebra, it is definitely not adequate. Just to be clear, you are talking about the gradiuate algebra book right? Or does he ahjve another book?
Yes, it's the graduate level text. I believe he does have an undergraduate text though ( maybe a typo on the college website). I am planning on using a secondary algebra text to reference. I'll look into Artin and Dummit and Foots texts. Thanks!
 
I am guessing that is a typo, and that his undergraduate algebra was meant:

https://www.amazon.com/dp/0387220259/?tag=pfamazon01-20

for the benefit of everyone in your course, you should contact the professor about this for clarification. it takes time to order books, and this may need to be corrected by the bookstroe.
 
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