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/sci/, if I know high school maths well enough and I want to self study more maths, where is the best place to start? I did some maths at university but have forgotten all of it. I'm not sure if my university offered a good curriculum anyway
I am never satisfied with anything. Doing calculation questions is boring as fuck. Doing "Show that..." questions usually rely on some result pages back and make me wonder what the point was after I inevitably fail to get it. Doing actual rigorous stuff is probably pointless and boring and would eventually feel crushingly pointless.
Ultimately I feel so damn lost when every single sub-topic has multiple textbooks of its own.
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Analysis or Abstract Algebra
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IUT
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>>8625897
http://4chan-science.wikia.com/wiki/Mathematics#Overview_of_Mathematics
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>>8625897
the key skill you need to develop is the ability to work with proofs. this includes being able to read and make sense of a proof, being able to write proofs, and generally grasping what distinguishes between valid proofs, invalid proofs, and things that aren't even proofs to begin with.
How familiar are you with basic set theory, for starters?
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>Analysis or Abstract Algebra
Seconded.
There are lots of intro to advanced math books which might be helpful in the transition to learning proof based math as opposed to arithmetic.
Then start with Analysis, Linear or Abstract Algebra.
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>>8625897
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