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axler

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Here are my notes from a summer course I taught a while back, meant as a second linear algebra course. Our text for the course was officially Friedberg, Insel, and Spence, which I thought was good. My approach differs from theirs mainly in my extensive use of the concept of the minimal polynomial of a linear map, as an organizing principle. For some reason Insel, et al. seemed the feel that using polynomials made the course too advanced. I also used Shilov as a supplementary text.

Obviously I am not qualified to call my book good, but it is free. Objectively I would say it probably lacks sufficient examples and problems, but overall I enjoyed learning and explaining the ideas while writing it.

Obviously I am not qualified to call my book good, but it is free. Objectively I would say it probably lacks sufficient examples and problems, but overall I enjoyed learning and explaining the ideas while writing it.

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Check this: https://www.physicsforums.com/blog.php?b=3206 [Broken]

I think Hoffman and Kunze would be an ideal book for you.

I think Hoffman and Kunze would be an ideal book for you.

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Here is a reasonable one though, used:

http://www.biblio.com/search.php?author=hoffman,+kunze&title=&keyisbn=&format=&dealer_id=133308

LINEAR ALGEBRA

Kunze, Ray & Hoffman, Kenneth

Bookseller: Samkat Books

(Dyersburg, TN, U.S.A.)

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Price: US$ 22.50

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Book Description: Prentice-Hall, Englewood Cliffs, N. J., 1961. Hardcover. Book Condition: Ex-Library; G/NONE. Not Latest Edition. Moderate edge wear. Previous owner's name marked out inside front cover. Pages clean, binding good. ; 332 pages. Bookseller Inventory # 63391

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either Linear Algebra Done Right (which is the Axler everybody is talking about)

or if you have an ok background in group theory, then I'd say go for Advanced Linear Algebra (again, people have already recommended this one, it's by Steven Roman)

the later is a little more robust, as it is intended for graduate students in mathematics, where the former is intended for upper level undergraduates.

An additional one I thought about that might work for you if you want a short, free text to be a bridge between where you are now and then picking up Roman's book:

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

It's free to download the whole thing and it focuses on learning the algebra necessary to get into a more in depth exploration of linear algebra.

or if you have an ok background in group theory, then I'd say go for Advanced Linear Algebra (again, people have already recommended this one, it's by Steven Roman)

the later is a little more robust, as it is intended for graduate students in mathematics, where the former is intended for upper level undergraduates.

An additional one I thought about that might work for you if you want a short, free text to be a bridge between where you are now and then picking up Roman's book:

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

It's free to download the whole thing and it focuses on learning the algebra necessary to get into a more in depth exploration of linear algebra.

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I'm currently browsing through the books suggested here and I'm leaning towards getting both Axler and Roman or Roman and Kunze, Ray &Hoffman, Kenneth. It seems Roman is the more rigorous book choice and If I get lost going through that I'll fall back on Axler and the free texts listed here. MathWonk and bpatrick thanks so much for the links to the free texts..MathWonk Ill check out your's out as soon as the pdf is approved and the link is available :)

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

also i recommend an excellent book, linear algebra done wrong, by sergei treil. it is not amateurishly composed like mine but professionally done. also free on his website.

http://www.math.brown.edu/~treil/

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I prefer Shilov over Axler or Hoffman & Kunze.

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