Is this a reasonable list for who seek to learn mathematics by "self learning" program? and is it a well sorted list to follow? http://www.math.niu.edu/~rusin/known-math/index/index.html
Help in self-studying mathematics.
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1It depends on what you mean when you say "learn mathematics". What mathematics are you interested in? What is your actual level? – 2012-07-02
3 Answers
Our very own Pete Clark, now of the University of Georgia faculty, was once upon a time a very talented undergraduate student at the University of Chicago. Back then, he and several of his fellow U of C honor students compiled a list of their recommended textbooks at various levels and posted it online. It does need to be updated, but I think you'll find it quite helpful. In fact,I've been asking Pete to revise it for a few months now. I hope he'll eventually find the time to do so.
Here it is:
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0thank you can guys for help, i appreciate it. – 2012-07-02
Dave Rusin's web site contains many interesting nuggets of information, but it is not, and is not meant to be, a coherent course of study.
The list you provided is quite concise. Notice however that a reasonable load of classes would be something like 4 per semester so with a 4 year program, you will cover around 32 of the list at best (unless you skip around). That's why you should just cover basic core classes first (real analysis, complex analysis, algebra, ODE/PDE, etc).
MIT Open Courseware will have a broad range of lists that include topics you listed and you can find lists of courses by going to any university mathematics program website and looking at the curriculum requirements (which will usually have a suggested program).
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0Honestly, google searches for lecture notes tend to be much more useful than the notes at MIT Courseware. They do have nice video lectures though. – 2012-07-02