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Main Question or Discussion Point
I have just started to learn calculus.Can you suggest the best book to grasp the concepts and to teach myself the true calculus.
Well, you really should have explained a bit where you currently stand and which goals you have. For the "gap" between school and college or university, I usually recommend the books on https://openstax.org/subjects which are free. They might contain stuff you already know, but you can skip these parts, and have many exercises for practice. My recommendation would be a different one, if you, say, want to build a personal library or study calculus in deep, which again would depend on your goals: physicists might have different emphases than statisticians. However, for the basic concepts the books on OpenStax are fine and cheap.I have just started to learn calculus.Can you suggest the best book to grasp the concepts and to teach myself the true calculus.
He did say that he was just starting off, which is why I think that Spivak or Apostol would be too much. I really like the Silvanus Thompson book. I picked up a copy myself yesterday and it is really quite brilliantly written. It is an excellent introduction to the concepts.I may be wrong, but as I read the question, the OP wants a deep grasp of calculus concepts, including theory, for which my best recommendations are still Courant, Spivak, and Apostol.