Question

Can someone suggest me a rigorous Calculus textbook?

Answer 1

Here you go,

http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098918/ref=wl_it_dp_o_pd_T1?ie=UTF8&coliid=I7FE8VAPSM0H2&colid=R8R340SRQL8L

If that does not work, it is written by Michael Spivak and sells for about $70 on Amazon.

Answer 2

There are a number of good H.S. AP Calculus Texts....
Larson or Stewart are probably the top 2.
College Texts....
I recommend Thomas.

Answer 3

By the way Larson's 8th ed text (assignment pages) are online for free.

Answer 4

Which one is better : Thomas or Spivak?

Answer 5

I have used Thomas and can highly recommend it. I have previewed Spivak...and don't have anything negative to say about it....others may have used both and could give you a better answer.

Answer 6

Stewart Calculus 7E is a good textbook too.

Answer 7

Michael Spivak is an excellent book, it also introduces the beauty of analysis.

Apostol's Calculus builds a strong foundation as well, and even though it covers integration before differentation ( I suppose that's how its mean to be)

And yes, for this course I personally use Stewart's Calculus, I have the 6th edition though.

Spivak, and Apostol are rigorous, though you're better off with Apostol if you can benefit from the lecture notes at MIT.

If you dont want to get into a lot of detail, rigour and theory. Stewart's calculus is excellent, and often covers a lot of information that's not provided, but is very helpful.

Answer 8

Thomas,Spivak or Stewart ? MOST RIGOROUS!

Answer 9

Spivak - Best

Answer 10

The most rigorous calculus course at MIT is this:
http://math.mit.edu/~clarkbar/1112a014.html
http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010/Syllabus/

and they use Apostol.

Answer 11

Of course, if you really want to treat the subject on a rigorous level, you'd be looking at a "Real Analysis" course, using a textbook like Rudin's.