How Can a Physics Student Self-Learn Linear Algebra?

In summary, if you are a physics student and haven't taken any Linear algebra courses before, you may want to check out MIT's open course website or Gilbert Strang's video lectures on linear algebra. There are also some free books that you can learn from. If you are more advanced, you may want to look into Axler's Linear Algebra Done Right or Halmos's Finite-Dimensional Vector Spaces.
  • #1
Baggio
211
1
Hi, I'm a physics student and I haven't taken any Linear algebra courses before and have only come across it in my Quantum physics classes. I'm a capable mathematician and was wondering if I were to teach my self what would be the best approach, and what textbooks you would recommend? Also what are the prerequisites?

Thank you very much.
 
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  • #2
Check out MIT's open course website, or more specifically:
http://ocw.mit.edu/OcwWeb/Mathematics/18-06Linear-AlgebraFall2002/VideoLectures/index.htm

Those are great video lectures on linear algebra by prof. Gilbert Strang. I'm learning from them myself at the moment, bought the book also.

The content of the lectures is not that abstract, and really good as an introduction..and that's all it is really, an introduction. So if you like a more rigorous approach, I can't give you any advice. :shy:
 
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  • #3
some points you may want to cover would be: linear independence, vector basis, and the definition of a vector space.

having learned these ideas, which are not very hard, linear transformations and determinants would be good, and these things are probably most applicable to physics.
 
  • #4
Thank you very much.. I'll check out the video lectures too!
 
  • #5
gilbert strang makes a good matrix theory text. other (slightly) more advanced books are axler's linear algebra done right & halmos' finite-dimensional vector spaces
 
  • #6
sorry to be blunt, but if you do not know linear algebra, it is a bit optimistic to call yourself a capable mathematician, as that is pretty much the bottom rung on the math ladder.

since you have expressed a desire to elarn, here are some free book,s form which you can learn quite a lot: I especially recommend sharipov's book.

free books:

http://joshua.smcvt.edu/linearalgebra/

http://www.math.miami.edu/~ec/book/

http://mathforum.org/library/topics/linear/

http://dmoz.org/Science/Math/Publications/Online_Texts/

http://www.math.miami.edu/~ec/book/

http://www.math.uga.edu/~roy/
 
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  • #7
Is that last one you, mathwonk?
 
  • #8
mathwonk said:
sorry to be blunt, but if you do not know linear algebra, it is a bit optimistic to call yourself a capable mathematician, as that is pretty much the bottom rung on the math ladder.

since you have expressed a desire to elarn, here are some free book,s form which you can learn quite a lot: I especially recommend sharipov's book.

free books:

http://joshua.smcvt.edu/linearalgebra/

http://www.math.miami.edu/~ec/book/

http://mathforum.org/library/topics/linear/

http://dmoz.org/Science/Math/Publications/Online_Texts/

http://www.math.miami.edu/~ec/book/

http://www.math.uga.edu/~roy/

By capable, I meant I pick up new concepts quickly, I didn't mean that I'm an expert or anything :rolleyes: Thanks for the links they're really good.
 
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  • #9
you are welcome; sorry for the smart*** comments accompanying.

I wish I were as young as the guy in the picture on that link.
 
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FAQ: How Can a Physics Student Self-Learn Linear Algebra?

What is Linear Algebra?

Linear algebra is a branch of mathematics that deals with linear equations and their representations in vectors and matrices. It is used to solve systems of equations and model real-world problems.

Why is Linear Algebra important to learn?

Linear algebra is a fundamental tool in various fields of science and engineering, including computer science, physics, economics, and statistics. It provides a powerful framework for understanding and solving complex problems.

How can I start learning Linear Algebra?

To start learning Linear Algebra, it is important to have a strong foundation in basic algebra and geometry. You can also find online resources, textbooks, or enroll in a course to guide you through the concepts and applications of Linear Algebra.

What are some key topics in Linear Algebra?

Some key topics in Linear Algebra include vector spaces, matrices, determinants, linear transformations, eigenvalues and eigenvectors, and applications in systems of equations and optimization.

How can I improve my understanding of Linear Algebra?

To improve your understanding of Linear Algebra, it is essential to practice solving problems and applying the concepts to real-world situations. Engaging in collaborative learning and seeking help from a tutor or professor can also be beneficial.

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