More difficult linear algebra book

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Discussion Overview

The discussion revolves around recommendations for more challenging linear algebra textbooks that include analytical content and proofs. Participants express their preferences and suggest various resources suitable for someone with a background up to calculus III who is currently taking linear algebra.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks a more analytical linear algebra book that is not overly difficult.
  • Some participants recommend Sheldon Axler's book for its theoretical perspective, suggesting it balances the computational focus of introductory courses.
  • Others mention Hoffman and Friedberg as suitable options for more rigorous study.
  • A participant highlights a resource that covers important topics in linear algebra along with abstract algebra and geometry, although it is not strictly a linear algebra book.
  • Free resources are shared, including Loomis and Sternberg's "Advanced Calculus," which is noted for its challenging approach to linear algebra concepts.
  • Another participant suggests "Linear Algebra Done Wrong" for those new to linear algebra, indicating it may be more accessible for beginners.

Areas of Agreement / Disagreement

Participants express a variety of opinions on the best resources, indicating that multiple competing views remain regarding the most suitable textbook for a more analytical approach to linear algebra.

Contextual Notes

Some recommendations depend on prior knowledge of concepts such as determinants and eigenvalues, which may affect the suitability of certain texts for different learners.

Who May Find This Useful

Students currently studying linear algebra who are looking for more challenging materials, as well as those interested in theoretical perspectives on the subject.

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.
 

Attachments

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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