Need a good book on the theories of Calculus

[sEsposito]

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.

 

[Pjennings]

Have you looked into Analysis by Tao?

 

[sEsposito]

I checked it out on amazon, but I only found https://www.amazon.com/dp/8185931631/?tag=pfamazon01-20. Is this the book you're referring to? I'm only skeptical because it says vol II and I cannot find a vol I.

 

[Pjennings]

I'm referring to both volumes. Try looking around on other website because the book is hard to find, but well worth it.

 

[sEsposito]

I'll look into it. Thank you for the recommendation.

 

[ordered_chaos]

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).

 

[Pinu7]

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