Introduction to abstract algebra
by W. Keith Nicholson · first published 1999
33% recommend67% neutral
"This new edition of a proven text offers systematic, concise, easy-to-understand explanations for these basic structures of abstract algebra suitable for self-study. Revised and refined to be accessible even to readers with only rudimentary college algebra, the Second Edition carefully balances coverage of groups, rings, and fields and uses real-world problems to illustrate the theory. An ideal resource for scientists and engineers as well as students preparing for the algebra qualifying examinations, Introduction to Abstract Algebra, Second Edition presents an array of features."--BOOK JACK
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This is a fantastic introduction to abstract algebra. Highly recommended.
on “Algebras we love” ↗…Proofs will be difficult here but work through it. There are so many books here, avoid Lang (good book but not for starting out), Dummit/Foote is okay. As a undergrad I had a good time with Rotman's An introduction to abstract algebra. Analysis -- Grab Baby Rudin. No seriously, Grab this book, sit in a room for a semester and just fuckn' read it. You will basically be "redoing" calculus. This is a trial by fire, go! Topology -- Grab…
on “Ask HN: How to self-study mathematics from the undergrad through graduate level?” ↗W. Keith Nicholson's Introduction to Abstract Algebra covers a lot of different topics in mathematics from an algebraic perspective.
on “What Doesn't Seem Like Work?” ↗Not sure that you'll find any "Made Easy"-type (abstract) algebra texts, but my college textbook was "Introduction to Abstract Algebra", by W. Keith Nicholson, for what it's worth.
on “Ask HN: Good textbooks or resources for learning Abstract Algebra?” ↗…That is, the group operation will be called "addition," and we will "add" two elements rather than "multiply" them. We write g + h instead of g • h or gh, and ng replaces g^n. [Walker, Elbert A., "Introduction to Abstract Algebra", 1987; Ch. 2, Pg. 70]
on “Prevent DoS by large int-str conversions” ↗…does most of linear algebra on just finite fields, not just the real and complex fields; finite fields in linear algebra are important in error correcting codes. So, that finite field work is a good introduction to abstract algebra. For a first book on linear algebra, I'd recommend something easy. The one I used was Murdoch, Linear Algebra for Undergraduates. It's still okay if can find it. For a first book, likely the one…
on “Ask HN: Recommend a maths book for a teenager?” ↗