Q:

Textbooks to use as reference for standard calculus and probability topics

I am currently working on a paper to be submitted to a US journal (addressed primarily to non-mathematicians’ audience) where I use 
(1) some standard calculus stuff (e.g. limits, Taylor expansions, integration by parts) and (2) some standard probability theory facts (e.g. Central Limit Theorem, Chebyshev’s inequality). 
What textbooks would you advise me to list as references for these topics so that the readers could find these topics covered there? I am looking for books that are well known in the US (and not hard to access), contain full proofs but are not too hard for non-mathematicians to comprehend? Thank you.

A:

Tom Apostol's Calculus is a "calculus" textbook with proofs and contains two chapters on probability. But then again, such isn't exactly a textbook for "non-mathematicians". Even though the text is suitable for students with good high-school mathematics background, it seems unlikely that anyone without a serious interest in mathematics would be willing to sit through over thousand pages of...well, proofs. It is my understanding that probability textbooks "with proofs" tend to assume, at the very least, multivariable calculus as a prerequisite.
Also, I am not sure if there are calculus textbooks "with proofs" in the current market that aren't written for serious students of mathematics.

A:

I think Gilbert Strang's Calculus not only has all the calculus and probability the average (and not so average) beginner needs - done carefully but highly intuitively with lots of pictures - but best of all, it's available online for free.
Can't get better than that for any recommendation for a beginning calculus student. 

A:

For standard calculus stuff, "A course of pure mathematics" by Hardy seems to fit what you want pretty well.

