I am self learner currently learning mathematics. I am studying elementary real analysis from Stephen Abbhot's book and i have some experience with proofs also from book "How to prove it". I would like to embark on journey to abstract algebra. I have looked similar suggestions here and came up with two books which are as :
1. Abstract algebra by Charles Pinter
2. A first course in abstract algebra by J.B.Fraleigh
I would like to know any more books which are available for self study so that i can have a look at them before buying and advice in general to subject.
Thanks
If you are essentially new to proofs then I recommend Galian’s “Contemporary Abstract Algebra” due to the simplicity of the text. It is full of problems (mostly easy), examples and pictures. I’m also a fan of the biographical notes at the end of each chapter.
If you have a little bit of experience then Dummit and Foote have a wonderful Algebra text (my personal favorite). It is much more in depth than Galian’s text but it is still reasonably easy to follow for the most part (a few difficult sections here and there).
Lang’s book is incredible but is probably too advanced for a first read through. One professor of mine has told me - It is the best way to learn algebra but it is the hardest way to learn algebra.
Artin has an excellent book as well that a few of my friends have enjoyed although I’d say that it is another challenging book and may not be ideal for a first time read through in algebra.