Abstract Algebra Online Textbook based on the earlier works of John A. Beachy and William D. Blair. For advanced undergrads and 1st year graduate students.
Free Abstract Math, Abstract Algebra & Proofs Textbooks
Some consider abstract math “higher” or “pure math.” It’s a new term for me but it seems like abstract math creates the rules that other forms of mathematics follow. One of the authors showcased here on The Free Textbook List explained that abstract math “requires conceptual reasoning about abstract ideas (as well as manipulating symbols), in particular on understanding and constructing proofs. Abstract math is mathematics for its own sake. In doing abstract math, you state theorems and prove them mostly in the context of mathematical ideas rather than applications or ideas from other fields.” (as defined by Charles Wells of abstractmath.org)
I suspect anyone looking for abstract math textbooks or abstract algebra textbooks will find my little definition quite pedestrian. Hopefully, they will find the free online textbooks and materials of much more use to their studies.