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In which order should I study the following?

  1. Sep 30, 2011 #1
    Ok so I got hold of a good amount of schaum series books that I would like to study.
    The most advanced topic in math I know so far is basic differential and integral calculus and I can deal rather good with calculus-based introductory courses in physics (newtonian mechanics).

    The books are:
    advanced algebra
    abstract algebra
    modern algebra
    fourier analysis
    vector analysis
    astronomy (algebra-based intro)
    advanced calculus
    differential equations
    electromagnetism
    statistics
    applied physics (algebra-based intro)
    analytic geometry
    geometry
    college mathematics
    theoretical mechanics
    probability and statistics
    General topology
    complex variable
    real variable

    In which order would you suggest that I study them? Also, if anyone would like one of this books I could send them to you or upload them here (I don't know if that's possible). Some of them are in spanish, though so, yeah...
     
  2. jcsd
  3. Sep 30, 2011 #2
    I don't want to be a downer but I don't think its a good idea to get your whole education from the Schuams outline series. Though some of them are good.
     
  4. Sep 30, 2011 #3
    I agree with you, I will be using those on topics I already know as review material and the ones I don't know as an introduction, for I am going to take most of these topics later on in college anyway. Thanks for your reply!
     
  5. Oct 1, 2011 #4
    Not exactly sure what many of these course titles even mean, or what their pre-reqs are.. But I tried splitting it up as best as I could off their vague titles. I split it into 3 tiers where you could (probably) learn anything within the same tier at the same time. But the order in my listing still does matter a bit. Namely, taking real analysis should be before complex analysis, etc.

    I did it out of boredom (took like 5 minutes) and my general inclination to classify things. Also, I strongly agree. You probably won't get much (even an intro) out of learning these online unless you are extremely rigorous and dedicated; this means doing actual problems rather than some passive learning experience.

    Tier 1:
    modern algebra [is this middle school algebra, or another name for abstract algebra?]
    advanced algebra [is this just more middle school algebra?]
    geometry [high school geometry? not sure on this one either]

    Tier 2:
    astronomy (algebra-based intro)
    electromagnetism
    statistics
    applied physics (algebra-based intro)
    probability and statistics

    college mathematics [what is this..?]
    advanced calculus
    differential equations

    Tier 3:
    theoretical mechanics

    vector analysis [I assume this is (mainly) linear algebra?]
    real variable [I assume this is real analysis?]
    abstract algebra
    complex variable [I assume this is complex analysis?]
    fourier analysis
    General topology
    analytic geometry [uh.. I would have some relation to arithmetic/algebraic geometry]
     
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