The discussion revolves around the topic of advanced mathematics study pathways, specifically the prerequisites and sequence of topics to learn. Participants express their interests in various advanced mathematical subjects and seek guidance on how to approach their studies.
There is no clear consensus on the best approach to studying advanced mathematics, as participants express differing views on the vagueness of the initial question and the appropriate sequence of topics.
The discussion highlights the uncertainty surrounding the prerequisites for advanced topics and the varying interpretations of what constitutes a suitable study path. Some assumptions about prior knowledge and dependencies between topics remain unaddressed.
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.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. :)
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.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.
Single variable calculus and linear algebraInfrared said:What math do you currently know?
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.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.
Thansk! :Dfresh_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.