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Algebra Similar book to Kleppner's Quick Caculus for linear algebra

  1. Sep 1, 2016 #1
    So anyone of you know a book that provides a gentle and quick refresher for linear algera, in the spirit of the book "Quick Calculus" by Kleppner and Ramsey?

    Now that I am studying quantum mechanics, I feel I need to review the linear algebra I studied during my engineering degree.

    Thanks.
     
  2. jcsd
  3. Sep 1, 2016 #2

    micromass

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    Boas' book on mathematical methods. Sure, it covers a lot more than linear algebra, but what it covers of linear algebra is really well done.
     
  4. Sep 1, 2016 #3
    That's probably the only chapter I would not read from that book though See here

    Not sure about quick but the following are really good book to learn Linear Algebra from for application to QM.
    1. https://www.amazon.com/gp/product/3319110799
    2. https://www.math.brown.edu/~treil/papers/LADW/LADW.html

    Another short book on Linear Algebra that I really like is
    https://www.amazon.com/Linear-Algebra-Introduction-Abstract-Mathematics/dp/9814723770

    The book is available for free here
    https://www.math.ucdavis.edu/~anne/linear_algebra/

    And don't forget to check out this strange little book for Linear Algebra - although this should not be used as a main book , it has excellent insight that will make your concepts solid.
    https://www.amazon.com/gp/product/B00HLW5V9U

    The author has a fantastic linear algebra course that you can take for free on your own time
    https://www.lem.ma/web/#/books/VBS92YDYuscc5-lK/landing
     
    Last edited by a moderator: May 8, 2017
  5. Sep 1, 2016 #4

    micromass

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    I do not agree with that post. Boas' chapter is fine.
     
  6. Sep 1, 2016 #5

    Student100

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    Indeed, and she does mention vector spaces.
     
  7. Sep 2, 2016 #6

    micromass

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    That said, I do recommend the OP to study somewhat formally vector spaces, inner product spaces, linear transformations and dual spaces. But the OP wanted a quick and gentle refresher of engineering linear algebra, so that's what I tried to answer.
     
  8. Sep 2, 2016 #7
    Well, I actually need a refresher of linear algebra that goes quickly and straight to the point, starting from the very basics, and reaching to the concepts required for quantum mechanics. That is why I mentioned, as an example, Kleppner's book on calculus (brief, very good on explanations, and focused on the calculus needed to follow a typical course on classical mechanics).

    The authors of some of the mentioned books claim they should be second books on the subject. I do not want that.

    Regards.
     
  9. Sep 2, 2016 #8

    Student100

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    Again Boas is fine for that.
     
  10. Sep 2, 2016 #9
    OK.

    Is Boas' chapter on LA enough to be able to follow Griffiths' quantum mechanics book?

    Regards.
     
  11. Sep 2, 2016 #10

    Student100

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    No, but she covers everything else in other chapters. First few sections of chapter six cover useful information found in a LA text, as do chapters 10, 12 and 15.
     
  12. Sep 2, 2016 #11

    micromass

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    You could go through Boas' chapter on LA and then start Griffiths. Whenever you're stuck in Griffiths, you can then refer back to Boas and read the relevant parts of where you're stuck.
     
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