I have listed 3 textbooks i have in my mind to buy
- Herstein - Topics in Algebra
- Artin - Algebra
- Lang - Undergraduate Algebra
Unlike Lang's Algebra is the most traditional abstract algebra text for graduates, I see there is no outstanding abstract algebra text for undergraduates.
I'm familiar with set theory,real and complex analysis,topology and some 'intuitive linear algebra'. So what would be the best among these three texts? or is there a traditional abstract algebra text? I'm NOT asking you to suggest me a book you think is the best, but to tell me the most traditionally using text book please.
Plus, there is another question. Generally, linear algebra is taught in freshman course and Abstract algebra is taught in junior course. WHY? In my opinion, one should study abstract algebra first, then linear algebra later to grab genuine concepts of those.