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Books to review before entering Calculus?

  1. Oct 21, 2011 #1
    i'm about to enter calculus, and I'm worried I have a weak background in K-12 math.

    What are some good books I could review over my month-long winter break to get ready for calculus? I could study like 6+ hours a day and since the concepts in K-12 math are not overly complicated I think I could get a lot done review-wise. Do I need to get a book for algebra 1, geometry, algebra II, and precalc like they had it structured in high school or do some books have some of those subjects combined?
     
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  3. Oct 21, 2011 #2

    micromass

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    Go over the book "basic mathematics" by Lang. It's all you need.
     
  4. Oct 21, 2011 #3
    really, all K-12 math topics can be covered in one book? That's pretty sweet.

    Since I doubt I will have time to complete every problem in the textbook in 1 month, does anyone have a syllabus for a class that assigned problems so I can take advantage of an experienced teacher's selection of problems?
     
  5. Nov 5, 2011 #4
    I was wondering if there are books that treat introductory math topics "rigourously"? I want to try to read Spivak's calculus after I strengthen my high school math background, so I thought it may be useful to have seen some rigourous treatment of classes like Algebra I and II, geometry, and Pre-cal...

    Any suggestions? I would like to start from the beginning and work my way up to Spivak's calculus...


    Edit: @ Micromass, thank you for the lang recommendation. I found out my library has that book and I will definitely use it but I still wanted to ask about how I could strengthen my high school math background enough to prepare me for spivak's calc.
     
  6. Nov 6, 2011 #5

    eumyang

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    For Algebra I and Algebra II I would recommend Lial:
    http://www.pearsonhighered.com/educator/product/Introductory-Algebra/9780321557131.page" [Broken]
    http://www.pearsonhighered.com/educator/product/Intermediate-Algebra/9780321574978.page" [Broken]
    These are college textbooks for remedial classes. The teaching is done in the text. There are plenty of exercises.

    If you haven't done so, look at the "https://www.physicsforums.com/showthread.php?t=122924" (by Allendoerfer & Oakley) for a rigorous Pre-calculus course.
     
    Last edited by a moderator: May 5, 2017
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