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Need a good book on the theories of Calculus

  1. Mar 5, 2010 #1
    Okay, so I've gone through calc I - III with Stewart's Calculus... I'm happy with the book for the most part, but I want a bit more theory now. I don't care what type of book, it could be like a pop-sci book for all I care, I just want to read about the theories behind the calculus without going broke. I've been recommended Spivak's book already but I can't afford a copy for another couple of weeks and wanted to see if anyone had any cheaper suggestions...Thanks in advance.
     
  2. jcsd
  3. Mar 5, 2010 #2
    Have you looked into Analysis by Tao?
     
  4. Mar 6, 2010 #3
    Last edited by a moderator: Apr 24, 2017
  5. Mar 6, 2010 #4
    I'm referring to both volumes. Try looking around on other website because the book is hard to find, but well worth it.
     
  6. Mar 6, 2010 #5
    I'll look into it. Thank you for the recommendation.
     
  7. Mar 8, 2010 #6
    I'm going through Tom Apostol's Calculus volume 1 by myself and it's very rigorous and theory based. It really fills in all the mathematical whys behind Stewart's Book.

    You can find a used book for cheap or download a torrent of the book (there are many out there).
     
  8. Mar 8, 2010 #7
    Solution: Internet!

    There are so much elementary analysis sources on the web that an actual text is unnecessary.

    Example: http://www.maths.mq.edu.au/~wchen/ln.html

    A google search on "real analysis pdf" should be sufficient
     
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