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In which order should I study the following? 
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#1
Sep3011, 08:01 PM

P: 53

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 calculusbased introductory courses in physics (newtonian mechanics). The books are: advanced algebra abstract algebra modern algebra fourier analysis vector analysis astronomy (algebrabased intro) advanced calculus differential equations electromagnetism statistics applied physics (algebrabased 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
Sep3011, 08:35 PM

P: 367

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.



#3
Sep3011, 08:39 PM

P: 53




#4
Oct111, 02:57 AM

P: 352

In which order should I study the following?
Not exactly sure what many of these course titles even mean, or what their prereqs 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 (algebrabased intro) electromagnetism statistics applied physics (algebrabased 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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