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wodenokoto 2 hours ago

Last night I was looking into what to read after or along with 3Blue1Brown's series of Linear algebra videos [1]

The contenders seems to be:

- Linear Algebra Done Right - Sheldon Axler

- Liner Algebra Done Wrong - Sergei Treil

- Introduction to Linea Algebra - Gilbert Strang

- Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares by Stephen Boyd and Lieven Vandenberghe

[1] https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2x...

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mchinen 28 minutes ago | parent | next [-]

Strang's lecture series are a nice and friendly accompaniment, especially if you don't have a reading group https://www.youtube.com/watch?v=7UJ4CFRGd-U&list=PL221E2BBF1...

LADW and LADR are great too, for an honors approach with more focus on proofs. To me it would make more sense on a second pass.

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dash2 2 hours ago | parent | prev | next [-]

Strang is simpler and clearer. Axler is more advanced in the sense that it doesn’t tie it to matrices. Strange is a “first course” book, Axler is a second course.

	▲	aureate an hour ago \| parent \| next [-]
		Depends how you think. I found Strang impenetrable and Axler simple and lucid. Some people seem to find abstract vector spaces weird and unmotivated without doing a load of stuff with lists and grids of numbers first. I find determinants weird and unmotivated without learning exterior algebra first. I wish Axler had been my first course.
	▲	Tomte an hour ago \| parent \| prev [-]
		Axler does limit itself to vector spaces over real and complex fields, though. That‘s fine, but I would have appreciated notices, which proofs and theorems do not hold in the general case. It‘s an exercise for the reader.

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ivankra an hour ago | parent | prev | next [-]

If you liked 3B1B and prefer intuition/applications-heavy view, then definitely Strang over Axler. Check out especially his newer textbook "Linear Algebra and Learning from Data".

Axler is more of a pure math textbook - if you want to dive more into proofs and abstractions.

	▲	niksmather 24 minutes ago \| parent [-]
		I would also say Axler is much better prep for higher level applied math, as well as pure. If you are interested in how the big ideas of linear algebra extend to things like Fourier analysis it's very helpful to see the more abstract explanation of vector spaces.

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geokon an hour ago | parent | prev | next [-]

I really recommend Matrix Analysis and Applied Linear Algebra by Carl Meyer. It's both concise and comprehensive. Strange is very good, but feels kinda vague and long winded in comparison (very good for a high level understanding of the tools you're dealing with)

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qsort an hour ago | parent | prev | next [-]

You zoomers are making a list of linear algebra books and not citing Lang? Get off my lawn ;)

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impossiblefork an hour ago | parent | prev | next [-]

Lorenzo Sadun's Linear Algebra: The Decoupling Principle would probably be enough too if you added something about determinants.

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emil-lp 2 hours ago | parent | prev | next [-]

+1 for Strang.

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quailfarmer an hour ago | parent | prev [-]

+1 for Boyd