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kq6up

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Can anyone recommend a good reference to get me through this patch. Something that correlates well with Boas would be a plus as this was my first treatment on the subject.

Thanks,

Chris Maness

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- Thread starter kq6up
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- #1

kq6up

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Can anyone recommend a good reference to get me through this patch. Something that correlates well with Boas would be a plus as this was my first treatment on the subject.

Thanks,

Chris Maness

- #2

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https://www.physicsforums.com/forumdisplay.php?f=21

I don't know Boas' book, but looking at the table of contents for chapter 3 on Amazon, I think you would find Serge Lang's "Introduction to Linear Algebra" to be a good choice. I don't like Strang's "Linear Algebra and Its Applications" at all - I found it to be somewhat incoherent and poorly organized. Lang is very clear and does everything on (finite dimensional) vector spaces after the first couple of motivational chapters covering vectors and matrices.

- #3

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https://www.physicsforums.com/forumdisplay.php?f=21

I don't know Boas' book, but looking at the table of contents for chapter 3 on Amazon, I think you would find Serge Lang's "Introduction to Linear Algebra" to be a good choice. I don't like Strang's "Linear Algebra and Its Applications" at all - I found it to be somewhat incoherent and poorly organized. Lang is very clear and does everything on (finite dimensional) vector spaces after the first couple of motivational chapters covering vectors and matrices.

I second Lang.

The following book is also good and free: http://www.math.brown.edu/~treil/papers/LADW/LADW.html But it might be too difficult for now...

- #4

kq6up

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Edit: My grad level text that I will be starting in the fall does not look that much harder than Boas, so I feel I am on the right track. She is using Arfken for a grad level methods course.

Thanks,

Chris Maness

- #5

verty

Homework Helper

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Another option for you. It seems to have good exercises and goes beyond the normal first-course content.

https://www.amazon.com/dp/0486663280/?tag=pfamazon01-20

https://www.amazon.com/dp/0486663280/?tag=pfamazon01-20

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MidgetDwarf

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Fredrik

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I don't like Axler's book. While it has many beautiful proofs and point of views that are original, he also avoids using the determinant a lot. I think this is a shame. This makes the book only really useful for students who are very comfortable with LA already and who want another point of view. Treil's book on the other hand is a work of art. It contains everything you ever want to know about LA, and (contrary to Axler) it does it in a practical way. Very well written (but not easy).

- #9

kq6up

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I will have to check out Treil's book.

Chris

Chris

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jack476

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DRose87

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Fredrik

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Yeah, it's good isn't it? I like it because it contains all the topics one should know about linear algebra. It even has discussions on stuff like condition numbers, tensors, Jordan canonical form, etc. And it does it all in the very modern language of vector spaces (which might make it unsuitable for beginning students though). But I'm really charmed by his selection of problems, they're not too difficult but they really do help understand the material. And above all: it's completely free!

- #14

Billioville

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Jeffrey Holt, James Defranza& Daniel Gagliardi, Keith Nicholson, David Poole, David Lay and Gilbert Strang. The first two are excellent in terms of clarity of explanations, logical flow and proofs.

Once you have gone through any of these books, you might then move onto higher stuff but you definitely will be on point with any of these books.

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