Need a good book on the theories of Calculus

  • Thread starter sEsposito
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  • #1
sEsposito
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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.
 

Answers and Replies

  • #2
Pjennings
16
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Have you looked into Analysis by Tao?
 
  • #3
sEsposito
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Last edited by a moderator:
  • #4
Pjennings
16
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I'm referring to both volumes. Try looking around on other website because the book is hard to find, but well worth it.
 
  • #5
sEsposito
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I'll look into it. Thank you for the recommendation.
 
  • #6
ordered_chaos
17
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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).
 
  • #7
Pinu7
272
4
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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