Linear algebra by Friedberg or Hoffman and Kunez?

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SUMMARY

The discussion centers on the comparison between linear algebra texts by Friedberg, Hoffman and Kunze, and Lang. Participants highlight that both Hoffman/Kunze and Friedberg are rigorous, with a slight preference for Hoffman/Kunze due to personal experiences. Advanced Linear Algebra by Steven Roman is noted as a rigorous alternative, though it is not an introductory text. Ultimately, Friedberg's book is praised for its comprehensive content and rigor, making it a strong choice for those seeking depth in linear algebra.

PREREQUISITES
  • Understanding of basic linear algebra concepts
  • Familiarity with mathematical rigor and proofs
  • Knowledge of advanced linear algebra topics
  • Experience with mathematical textbooks and their structures
NEXT STEPS
  • Explore "Advanced Linear Algebra by Steven Roman" for deeper insights
  • Research "Linear Algebra Done Right by Sheldon Axler" for a different perspective
  • Review "Linear Algebra" by Serge Lang for additional rigor
  • Investigate the differences between introductory and advanced linear algebra texts
USEFUL FOR

Students of mathematics, educators teaching linear algebra, and anyone seeking a rigorous understanding of linear algebra concepts will benefit from this discussion.

JayC
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I need the most rigourous text on linear algebra and I've been advised to buy one of these but I don't know the differences and which is the best one (I think the one that covers more topics and is more rigorous would be the one) but if you think there is a more rigourous book on linear algebra please let me know.
 
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Hoffman/Kunze, Friedberg, and Lang's Linear Algebra are usually considered to be the best on the subject. I've read through all of Hoffman/Kunze and Friedberg, and found both of them fine. I would go with Hoffman, but it is favoured by only small margin.
 
I would prefer Hoffman/Kunze but I'm prejudiced- I had Kunze as my teacher for Linear Algebra.
 
Thanks for the comments guys and FYI I've ordered linear algebra by friendberg.
 
Hehe, the question is "A or B?", two people respond with B, and you go for A :)

Thre is no such thing as "the most rigorous book" in any subject. Advanced Linear Algebra by Steven Roman certainly qualifies as rigorous, but is more advanced (not introductory). All the mentioned books are good (Axler is another example).
 
the friedberg book is my favourite linear algebra book, it has more content than any other linear algebra book that I've seen (except for the advanced linear algebra stuff), and it's fully rigorous.
 

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