What are the best self-study resources for advancing in Algebra?

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SUMMARY

The discussion centers on self-study resources for advancing in Algebra after completing an introductory course. Participants recommend several key texts, including "Algebra" by Artin as the best upper-level undergraduate book, suitable for those who have finished a first course. Other notable mentions include "Algebra" by van der Waerden and "Abstract Algebra" by Dummitt and Foote, which offers a comprehensive two-year curriculum. The consensus emphasizes the importance of choosing a book that aligns with the learner's pace and depth of understanding.

PREREQUISITES
  • Understanding of basic Algebra concepts
  • Familiarity with mathematical proofs
  • Experience with problem-solving in mathematics
  • Access to Algebra textbooks and resources
NEXT STEPS
  • Explore "Algebra" by Artin for advanced undergraduate study
  • Research "Algebra" by van der Waerden for a classic perspective
  • Investigate "Abstract Algebra" by Dummitt and Foote for a comprehensive curriculum
  • Look for online resources or forums for additional problem-solving practice
USEFUL FOR

Students who have completed an introductory Algebra course, self-learners seeking advanced understanding, and educators looking for effective teaching materials in Algebra.

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I finished a course in Algebra last semester and I've decided that Algebra is the best math for me. I'd really like to know more. I studied Gallians book though I looked through Herstiens a bit as well. The problem is that my school doesn't have a second course in Algebra so I have to study on my own. What book would be a good one to start with. I'm not really concered about price too much. Also, if there is an answer key avaliable that would be helpful as I won't be able to go to profs for help.
Thanks for any guidance.
 
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artin, algebra is the best upper level undergrad book. and you should be ready for it after a first course.

it was written as a first course but is a bit condensed and slow going as an intro.

another classic is algebra, previously modern algebra, by van der waerden.

some people like dummitt and foote, which covers two years worth of algebra, but i prefer the insight of artin's book, although it covers less.
 

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