How to Speak Mathematics: Subjects & Recommended Books

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To achieve a superior understanding of mathematics, studying subjects like logic and set theory is essential, as they form the foundation of modern mathematics. Recommended resources include Enderton's "A Mathematical Introduction to Logic," which provides insights into mathematical logic, though it may not be the best starting point for beginners. Engaging with problems and seeking help from knowledgeable individuals can enhance comprehension. The discussion draws a parallel between learning mathematics and programming, suggesting that foundational subjects in math can offer a deeper understanding similar to mastering assembly language in computer science. Overall, a structured approach to learning these core subjects is crucial for developing a profound grasp of mathematics.
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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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