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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?
  2. jcsd
  3. Oct 21, 2011 #2
    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


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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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