More difficult linear algebra book

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SUMMARY

For those seeking a more challenging linear algebra book, Sheldon Axler's "Linear Algebra Done Right" is highly recommended for its theoretical approach, provided the reader has a foundational understanding of determinants and eigenvalues. Additionally, "Advanced Calculus" by Loomis and Sternberg offers a rigorous perspective on linear algebra topics and is available for free online. Other notable mentions include the free resources available at the Harvard and Texas A&M repositories, which provide substantial content for deeper analytical study.

PREREQUISITES
  • Understanding of determinants and eigenvalues
  • Familiarity with introductory linear algebra concepts
  • Basic knowledge of calculus up to Calculus III
  • Ability to engage with mathematical proofs and theoretical discussions
NEXT STEPS
  • Explore Sheldon Axler's "Linear Algebra Done Right" for a theoretical perspective
  • Read the first chapters of Loomis and Sternberg's "Advanced Calculus" for advanced linear algebra topics
  • Access free linear algebra resources from Harvard and Texas A&M for additional practice
  • Investigate "Linear Algebra Done Wrong" for a foundational understanding before tackling more complex texts
USEFUL FOR

Students currently enrolled in linear algebra courses, mathematics enthusiasts seeking deeper theoretical insights, and educators looking for advanced teaching materials in linear algebra.

kahwawashay1
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Im looking for a more difficult linear algebra book, more analytical with proofs and whatnot, but not too difficult (Ive only had up to calc III and taking linear algebra now). any suggestions?
 
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Sheldon axler
 
See my blog on linear algebra books: https://www.physicsforums.com/blog.php?b=3206
 
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Hoffman or Friedberg :)
 
here is a free linear algebra book.
 

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thrill3rnit3 said:
Sheldon axler

I second Axler. It will give you a more theoretical outlook to balance out the rote computation in most intro. linear algebra courses.
 
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  • #10
Sankaku said:
Micromass' comments on books are excellent. However, I still think Axler is pretty good as long as it isn't your first book in LA.

Absolutely correct. If you're already familiar with determinants and its uses in finding eigenvalues and inverses then Axler is a very good book for you! I should edit that in in my blog...
 

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