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I'm trying to learn mathematics and to understand calculus for the first time, I'm using this book Higher Math For Beginners: Mostly Physicists And Engineers by Y. B. Zeldovich and After that I 'll through go through these two : Introduction to Calculus and Analysis v 1 and 2 by Richard Courant , Fritz John and finally Mathematical Analysis V. A. Zorich,my question is if there anything that I would be repeating the same thingq (I mean if there is an order in which to read this subject in the least amount of time while covering a big part of it),or if this order is the right one?

Do you have any other suggestion on other book and ways to learn faster ?and can you comment on the books I'm using? thanks

P.S do I have to learn proofs(I have Velleman's book) before any of these books?my background is simply high school mathematics(algebra and trig) and small acquaintance with some calculus concepts.

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If you could explain what your background is, then perhaps you will get better answers. For instance, are you in high school? are you a professional scientist? etc. –  Prahlad Vaidyanathan Aug 12 '13 at 11:33
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can't comment on the books you mentioned, but for the first time self study Calculus by Thomas and Finney is good and Analysis by Tarrence Tao, "repeating meaninglessly"???, if it is meaningless, author would not include it in the book and if you have already done it/know it, just skip it. –  Vikram Aug 12 '13 at 11:38
    
Thomas and Finney new editions are horrible ,onl the first three are good and I can't find them. –  Daniel Faust Montana Aug 12 '13 at 12:03
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+1 for Thomas and Finney. Spivac and Apostol are great too but you probably have to go through an introductory book first. Try to learn linear algebra too, it is important. –  user2357 Aug 13 '13 at 5:04
    
Do I have to go through a proof book too? –  Daniel Faust Montana Aug 13 '13 at 11:47
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