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

AI Thread Summary
Algebra enthusiasts looking to deepen their understanding after an introductory course have several recommended resources. Artin's "Algebra" is highlighted as an excellent choice, suitable for those who have completed a first course, though it is noted to be somewhat condensed. Van der Waerden's "Algebra," previously known as "Modern Algebra," is also suggested as a classic text. For a more comprehensive approach, Dummitt and Foote's book is mentioned, covering two years' worth of material, but some prefer the focused insights provided by Artin. Availability of answer keys is emphasized as a crucial factor for self-study, given the lack of access to professors for assistance.
k3N70n
Messages
66
Reaction score
0
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.
 
Physics news on Phys.org
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.
 
TL;DR Summary: Book after Sakurai Modern Quantum Physics I am doing a comprehensive reading of sakurai and I have solved every problem from chapters I finished on my own, I will finish the book within 2 weeks and I want to delve into qft and other particle physics related topics, not from summaries but comprehensive books, I will start a graduate program related to cern in 3 months, I alreadily knew some qft but now I want to do it, hence do a good book with good problems in it first...
TLDR: is Blennow "Mathematical Methods for Physics and Engineering" a good follow-up to Altland "Mathematics for physicists"? Hello everybody, returning to physics after 30-something years, I felt the need to brush up my maths first. It took me 6 months and I'm currently more than half way through the Altland "Mathematics for physicists" book, covering the math for undergraduate studies at the right level of sophystication, most of which I howewer already knew (being an aerospace engineer)...

Similar threads

Replies
1
Views
2K
Replies
13
Views
4K
Replies
28
Views
6K
Replies
2
Views
3K
Replies
16
Views
5K
Replies
3
Views
4K
Back
Top