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Any good books on PDEs?

  1. Dec 31, 2013 #1

    Zondrina

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    I'm wondering if people have recommendations on this topic. It's something I've been meaning to tackle for a long time now. I'm interested in learning how to solve PDEs as well as learn about uniqueness theorems and such. The more rigorous the book is, the better.

    I already have good experience with ODEs and I'm pretty comfortable with them. I also have some experience already with BVPs and Fourier series.
     
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  3. Dec 31, 2013 #2
    A good intro book seems to be Strauss: https://www.amazon.com/Partial-Differential-Equations-An-Introduction/dp/0470054565

    More rigorous books (and not exactly meant for a first course) are Evans and Renardy:
    https://www.amazon.com/Partial-Differential-Equations-Graduate-Mathematics/dp/0821849743
    https://www.amazon.com/Introduction-Partial-Differential-Equations-Mathematics/dp/0387004440

    These books are heavy in functional analysis stuff however. Although Evans has appendices containing everything you need to know to read the book.

    The bible on PDE is in my opinion Taylor: https://www.amazon.com/Partial-Differential-Equations-Mathematical-Sciences/dp/1441970541 (and the subsequent two volumes)

    Strauss is a book that you should be able to read right now. The other three books I mentioned are very mathy, so I kind of doubt they will be much use to you as an electrical engineer (that said, you like math soooo...). As far as I know, none of the books really go into numerical issues.
     
    Last edited by a moderator: May 6, 2017
  4. Dec 31, 2013 #3

    Zondrina

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    Thank you for the plentiful recommendations.

    Math gives you wings, so there's no reason not to be serious about it, regardless of the chosen discipline.

    I'll read a bit of the Strauss book and then a bit of the Taylor book; then I'll decide which author I enjoy more and read that one.
     
  5. Dec 31, 2013 #4
    Taylor is extremely mathy. It does PDE's directly on manifolds, so I recommend to know a bit of differential geometry beforehand. So don't be surprised if you find Taylor too much to handle.
     
  6. Dec 31, 2013 #5

    Zondrina

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    I've read calculus on manifolds by Spivak, so I do know some basic stuff. It was a pretty short book though, would it be enough information to tackle Taylor?

    Here's a link to the PDF: http://faculty.ksu.edu.sa/fawaz/482/Books/Spivak_Calculus on manifolds.pdf
     
  7. Dec 31, 2013 #6
    I doubt it, but you should try anyway. If it works out then you found a very good book, otherwise you know what you need to work at.

    You sure this is legal? You might want to remove it before the mentors see it :tongue:
    But I'm very acquainted with spivak's calc on manifolds, it's a very decent book but it doesn't go very far into differential geometry.
     
  8. Dec 31, 2013 #7

    Zondrina

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    If it's uploaded on a .edu website, I don't think there should be any issues as it's public educational knowledge.

    I'll give Taylor a go, if I'm not comfortable after the first chapter or so I'll switch to Strauss and see how it feels.
     
  9. Dec 31, 2013 #8
    Good luck!!
     
  10. Jan 2, 2014 #9
    Last edited by a moderator: May 6, 2017
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