How to Speak Mathematics: Subjects & Recommended Books

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Which subjects should I study to speak mathematics in a superior form? Also, which books do you recommend?
 
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You could try going on wikipedia the online encyclopedia, to search for definitions of mathematical terms, but I am not sure what book would help you learn the language of math. Hope this helps!
 
I wish to obtain a deeper core understanding of mathematics. Solving problems of course helps. I wish to have more pure understanding of the concepts. I am not sure if I am describing this clearly.
 
Books and school/university courses. there's no better way to learn something than with an actual person physically there to ask for help from.
 
Is there a subject of mathematics that is similar to ASM in Computer Science? For example, when I first studied programming, I learned Perl. I wanted a deeper understanding of the computer, so I studied C then I mastered Assembly.
 
arevolutionist said:
Is there a subject of mathematics that is similar to ASM in Computer Science? For example, when I first studied programming, I learned Perl. I wanted a deeper understanding of the computer, so I studied C then I mastered Assembly.

Logic and set theory are the underpinnings of modern mathmatics, so if you want an 'assembly'-style low-level understanding I'd start there. I used and enjoyed Enderton's A Mathematical Introduction to Logic.
 
"Common sense logic" takes you deep into maths, to study the subtilities of mathematical logic is not, perhaps, the best starting point.
 
arildno said:
the subtilities of mathematical logic is not, perhaps, the best starting point.

I agree that mathematical logic is deep and not a good place to begin. However, if you're looking for ASM, that's where it is.
 
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