When choosing a textbook for self-study in abstract algebra, the discussion highlights two main options: Artin's Algebra and Dummit and Foote's Abstract Algebra. Artin's book is praised for its clarity and powerful insights, with a focus on rigorous proof techniques suitable for advanced learners, particularly those at the MIT level. In contrast, while Dummit and Foote also provide clear explanations and a strong selection of problems, some users find their approach to proofs less helpful for understanding. Dummit and Foote cover additional topics like tensor algebra that Artin omits. A recommendation is made to explore both texts to determine which aligns better with the learner's style, suggesting that starting with Dummit and Foote could be beneficial before transitioning to Artin's work.
