the final boss of (undergrad) algebra textbooks

seriously, how is it so fricking 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

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  1. 2 years 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 fricking times for Groups, Rings and Vector Spaces separately?

    • 2 years 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)

    • 2 years 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. 2 years ago
    Anonymous

    Post TOC Black person

    • 2 years ago
      Anonymous

      next time, ask nicely, Black person

      • 2 years ago
        Anonymous
      • 2 years ago
        Anonymous

        >next time, ask nicely, Black person
        sowwy :3 UwU

      • 2 years ago
        Anonymous

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

        • 2 years ago
          Anonymous

          Worse are books which just call it Algebra.

  3. 2 years ago
    Anonymous

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

    • 2 years 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

      • 2 years ago
        Anonymous

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

        • 2 years 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)

          • 2 years ago
            Anonymous

            Okay thanks.

  4. 2 years ago
    Anonymous

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

    • 2 years ago
      Anonymous

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

  5. 2 years ago
    Anonymous

    Rotman and Knapp are better

  6. 2 years ago
    Anonymous

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

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