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PieceOfPi
#8
Jun27-11, 11:02 PM
P: 186
I must apologize that I won't be answering your question.

If you already know the materials in Spivak, then I would pick any of these books, and read only the chapters that deal with applications. For example, Stewart has a chapter on optimization problems using the theory differentiation, and a chapter that deals with applications of integrals (e.g. in physics, biology, probability, etc). But that's only a small portion of the text. And I imagine that other standard calculus textbooks (e.g. the ones like Stewart) are pretty much the same.

If you want to go further, I also suggest you to study linear algebra and vector calculus as soon as possible. Once you have them down, you should be able to study differential equations, Fourier analysis, numerical analysis, probability, statistics, and well, many subjects that apply calculus that are useful. I think learning those subjects are much more interesting than simply reading the application chapters on Stewart, but it also requires a lot of work.