Which linear algebra book is the best for understanding concepts?

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SUMMARY

The discussion centers on identifying the best linear algebra book for understanding core concepts. Participants recommend several texts, including "Linear Algebra" by David C. Lay, "Linear Algebra" by Hoffman and Kunze, and "Finite Dimensional Vector Spaces" by Paul Halmos. Notably, Hoffman and Kunze is frequently suggested despite its high cost, while free resources like Ruslan Sharipov's notes and Axler's website offering downloadable PDFs are highlighted as valuable alternatives. The consensus is that there is no definitive best book, but rather options that cater to individual learning preferences.

PREREQUISITES
  • Understanding of basic linear algebra concepts
  • Familiarity with mathematical notation and terminology
  • Access to online resources for supplementary materials
  • Ability to evaluate and compare educational texts
NEXT STEPS
  • Explore "Linear Algebra" by Hoffman and Kunze for in-depth theoretical insights
  • Review free notes by Ruslan Sharipov for accessible explanations
  • Investigate Axler's website for applied linear algebra resources
  • Read "Finite Dimensional Vector Spaces" by Paul Halmos for a comprehensive understanding
USEFUL FOR

Students, educators, and self-learners seeking to deepen their understanding of linear algebra concepts through recommended texts and supplementary resources.

CPL.Luke
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What would the best linear algebra book be?

I'm looking for one that has a lot of expositition and tries to get the underlying concepts across.

any help would be greatly appreciated.
 
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I used Linear algebra by David C lay when I took my first course in that subject. I don't think its too bad of a text.
 
try hoffman and kunze, or lang, or shifrin and adams. there is no best book, just one that is good for you

also free notes by ruslan sharipov. or finite dimensional vector spaces, by paul halmos.

or my free webnotes.
 
Apologies for bumping an old thread.

I've seen Hoffman & Kunze being suggested a lot, but that it is expensive new.

http://www.play.com/Books/Books/4-/1744158/-/Product.html?searchstring=hoffman+and+kunze&searchsource=0

£14 from Play.com.
 
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... found my way here by googling "best linear algebra book". The book I used in my first course at a university was Anton & Rorres, and that one does not answer my occasional linear algebra queries anymore. Thanks for the recommendation of Hoffman & Kunze. I'll try it if I can find it at a reasonable price (The current price at the link to play.com is 98 EUR :( ).
 
amazon.com has it cheaper.
 
I like Axler's http://linear.axler.net/" for an applied treatment. Note that the website for the latter book has free downloadable PDFs of all chapters plus the solution manual, for personal use.
 
Last edited by a moderator:
Halmos' Finite Dimensional Vector Spaces is my personal favorite... then for Abstract Algebra go with MacLane's Algebra
 

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