Linear Algebra Books: Recommendations and Benefits

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SUMMARY

This discussion centers on recommendations for linear algebra books suitable for students with a strong math background. Key suggestions include "Introduction to Linear Algebra" and "Linear Algebra" by Serge Lang, with the latter being more comprehensive. Additionally, "Linear Algebra Done Wrong" is highlighted as a valuable resource, available for free online. The conversation emphasizes the importance of selecting the right material to grasp essential concepts like matrices and eigenvalues effectively.

PREREQUISITES
  • Understanding of calculus, specifically Calculus III concepts.
  • Familiarity with basic mathematical terminology, including matrices and eigenvalues.
  • Access to linear algebra textbooks or online resources.
  • Ability to navigate academic library systems, such as IUCAT.
NEXT STEPS
  • Research "Introduction to Linear Algebra" by Serge Lang for foundational concepts.
  • Explore "Linear Algebra Done Wrong" for a free, alternative perspective on the subject.
  • Investigate online courses or lectures on linear algebra to supplement textbook learning.
  • Look into study groups or forums focused on linear algebra for collaborative learning opportunities.
USEFUL FOR

This discussion is beneficial for mathematics students, particularly those studying calculus and preparing to delve into linear algebra, as well as educators seeking effective teaching resources.

BiGyElLoWhAt
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I'm thinking about stopping at the library and getting a linear algebra book, but there are so many! I'm sure each with their own benefits, but which ones would people like to recommend? (and why please?)
I typed linear algebra into my IUCAT (IPFW), and it turned up this:
(series of books, all titled linear algebra)
AUTHORS:
Allenby R.B.J.T. (1995)
Berberian, Sterling K. (1992)
Peterson, Pete-1962 (2012)(not sure what the 1962 is...)
Jones, Burton Wadsworth (1973)
...
Ok, I just realized there's 17 pages worth of these.
Any recommendations from here or elsewhere?
I have a strong math background (at least I feel I do), I'm a calc 3 student right now, but I want to get into linear algebra, as I'm not sure I'll be able to take it next semester. I'm going to take diff eq first, if I have time to take both, I will, but it all depends on scheduling. I keep running into things that require me to know about matrices and eigenvalues and blah blah blah insert random linear algebra termonology here... in order to understand the material that I'm reading, and honestly it's quite frustrating. I just don't want to get a book to find out it sucks. Any help would be greatly appreciated,
Thanks in advance
--BYH
 
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You can't go wrong with Lang here. Try Lang's "Introduction to Linear Algebra". Or if you find that too easy, try his "Linear Algebra" which is more complete and challenging.

Another good reference is Linear Algebra Done Wrong, which is freely available: http://www.math.brown.edu/~treil/papers/LADW/LADW.html
 

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