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Math Help - Good Vector Calculus texts?

  1. #1
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    Good Vector Calculus texts?

    Is Marsden a good vector calculus text or maybe Lang, Hubbard, Spivack even better? my professor is using Marsden but it seems even less abstract than Stewart- I taught myself calculus from Stewart. I also have the Riley, Hobson Mathematical Methods for Physics and Engineering
    thanks very much!
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    Re: Good Vector Calculus texts?

    Hey mathnerd15.

    If you want a book that looks more-so at intuition rather than formalities, look at this book:

    Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, Fourth Edition: H. M. Schey: 9780393925166: Amazon.com: Books
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    Re: Good Vector Calculus texts?

    Quote Originally Posted by mathnerd15 View Post
    Is Marsden a good vector calculus text or maybe Lang, Hubbard, Spivack even better? my professor is using Marsden but it seems even less abstract than Stewart- I taught myself calculus from Stewart. I also have the Riley, Hobson Mathematical Methods for Physics and Engineering
    thanks very much!
    If you want a stand alone text, I highly recommend Vector Caculus by Thomas H Barr.
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    Re: Good Vector Calculus texts?

    Thanks very much! my professor seems to like Hubbard since he introduces manifolds
    it seems better to just read Hubbard or Marsden instead of Schey since they may cover the same material.
    Last edited by mathnerd15; April 1st 2013 at 11:01 PM.
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    Re: Good Vector Calculus texts?

    the problems in Marsden are a bit more interesting than Stewart. if you go with Schey you might miss a lot of theory and rigor?

    I don't know what kind of career I could have in math or finance.... I took Putnam seminar with math god who won the competition in highschool
    Last edited by mathnerd15; April 1st 2013 at 11:02 PM.
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    Re: Good Vector Calculus texts?

    by the way about Schey if you don't do proofs rigorously then is that worth studying if it is covered in Hubbard or Stewart?.... anyways I'm sure you can learn something from everyone (I guess the results and equations are true and can be applicable even if an informal proof does not prove the result?)....I guess I like to understand every point of a proof
    Last edited by mathlover10; May 3rd 2013 at 05:05 AM.
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  7. #7
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    Re: Good Vector Calculus texts?

    the Marsden seems more visually intuitive than other texts but is it necessary to go through Hubbard or Courant? does Marsden believe that deep understanding is visual with curve sketching?
    Last edited by mathnerd15; September 16th 2013 at 05:15 AM.
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