the final boss of (undergrad) algebra textbooks

seriously, how is it so fucking good? perhaps some higher-level texts like Bourbaki are better for graduates/PhD students (i wouldn't know, just a ugrad myself), but on the undergraduate level nothing beats this, it's got everything and more and presented so elegantly

  1. 1 month ago
    Anonymous

    Does this book include Universal algebra or does it follow the classic approach where you prove stuff the same stuff like the Isomophism theorems three fucking times for Groups, Rings and Vector Spaces separately?

    • 1 month ago
      Anonymous

      vol.2 has a chapter on universal algebra, but the isomorphism theorems are proved in vol.1 (iirc proved only for groups, for the rest the reader is encouraged to fill in the gaps)

    • 1 month ago
      Anonymous

      philosophies differ, but many people don’t mind doing the separate theories first, since it’s pretty quick anyway and jumping straight to congruence relations can feel like a weird and unmotivated abstraction

  2. 1 month ago
    Anonymous

    Post TOC nagger

    • 1 month ago
      Anonymous

      next time, ask nicely, nagger

      • 1 month ago
        Anonymous
      • 1 month ago
        Anonymous

        >next time, ask nicely, nagger
        sowwy :3 UwU

      • 1 month ago
        Anonymous

        whats with these fuckers calling everything basic
        basic algebra should be the basic theory of:
        groups, rings, modules and fields
        and not a bunch of random shit

        • 1 month ago
          Anonymous

          Worse are books which just call it Algebra.

  3. 1 month ago
    Anonymous

    How does it compare to Dummit & Foote.
    >t. never studied Algebra

    • 1 month ago
      Anonymous

      >>t. never studied Algebra
      then wtf do you care?
      they're comparable, but i'd say it's slightly more advanced and terse than DF

      • 1 month ago
        Anonymous

        Because I want to, and I want to know which one to start with, if I like Rudin's writing style.

        • 1 month ago
          Anonymous

          Jacobson or DF are not the best reading for a complete beginner unless you're "mature", i would recommend Herstein's Topics first (and Jacobson afterwards, if you want more)

          • 1 month ago
            Anonymous

            Okay thanks.

  4. 1 month ago
    Anonymous

    how hard can basic algebra be? that's literally middle school math

    • 1 month ago
      Anonymous

      Jokes aside, school algebra can be very difficult as well. Those olympiad equations books keep filtering me.

  5. 1 month ago
    Anonymous

    Rotman and Knapp are better

  6. 1 month ago
    Anonymous

    Based. Jacobson has far and away the best exposition of a mathematical writer.

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