Next, there are many options to start learning calculus (ahem, analysis). Mathematics undergrads receive this intro-to-math material surreptitiously by taking a freshman course in discrete mathematics or elementary set-theory. And if you are past that, you might want a sort of general introduction to math, in order to get used to proofs, for example Liebeck's valuable book. Also, today you can even learn precalculus on Khan academy.
You, as a reader, can abridge it yourself - usually it helps not to read math linearly. There are many books for this, for example Axler's, which is good but way too long for my taste. If, however, you wanna get serious about it, you should make sure you have what Americans call "precalculus" in place. Albeit almost as many useless photos and flashy design elements. They tend to be calculation-oriented, somewhat lax on rigor (proofs omitted or glossed over) with occasional real world applications, and (to their credit perhaps) many graphs of functions plotted out. If the former, engineers sometimes like the heavy glossy-paged books with photos of spaceships in them (like Stewart etc.). You'll have to decide if you want an engineering-oriented book or a "pure-mathematics" rigorous approach to calculus. I don't have experience with answering questions here, but I have experience with learning mathematics by myself.
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