I need a guide of topics to study maths

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Santiago24
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Hi PF community, i'd like to learn about advanced maths but i don't know what are the requirements to study some topics, so if you can give me a list with the topics that i should learn first i will be very thankfull. :)
 
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Santiago Perini said:
Hi PF community, i'd like to learn about advanced maths but i don't know what are the requirements to study some topics, so if you can give me a list with the topics that i should learn first i will be very thankfull. :)
Which topics? The question is so vague that the only possible answer is: get a list of lectures at any university where mathematics can be studied.
 
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fresh_42 said:
Which topics? The question is so vague that the only possible answer is: get a list of lectures at any university where mathematics can be studied.
I'd like to study complex analysis, differential equations, vector calculus and topology, the problems is that i don't know what topics are in the middle or what study first.
 
Infrared said:
What math do you currently know?
Single variable calculus and linear algebra
 
Santiago Perini said:
I'd like to study complex analysis, differential equations, vectorial calculus and topology, the problems is that i don't know what topics are in the middle or what study first.
You should start with linear algebra before vector calculus. Then you can approach differential equations and complex calculus. Set topology is more or less independent of those, although some calculus would be nice to understand the examples. You can do it in parallel. And of course you need all basics in real calculus.
 
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fresh_42 said:
You should start with linear algebra before vector calculus. Then you can approach differential equations and complex calculus. Set topology is more or less independent of those, although some calculus would be nice to understand the examples. You can do it in parallel. And of course you need all basics in real calculus.
Thansk! :D