![]() This guide only covers an undergraduate mathematics curriculum, because, unlike the fields of physics and philosophy (both of which I have studied at the graduate level), that’s where my math knowledge ends. Anyone that follows and completes this curriculum will walk away with the knowledge equivalent to an undergraduate degree in mathematics. My goal here is to provide a roadmap for anyone interested in understanding mathematics at an advanced level. I promise you that it is worth every moment, every effort, every precious bit of energy. The secret to learning math is this: accept that it is a difficult subject and that understanding it is going to be hard, study it in small manageable pieces (like the curriculum I’ve put together here), be patient with yourself and with your study, and work diligently to understand it. That doesn’t mean it’s easy - no, mathematics is an incredibly challenging discipline, and there is nothing easy or straightforward about it - but, honestly, I have yet to find a single topic, discipline, or intellectual pursuit that is easy or straightforward to learn at any advanced level. ![]() Here is the truth: if you can understand the structure of literature, if you can understand the basic grammar of the English language or any other language, then you can understand the basics of the language of the universe. One of the lies I have heard so many people repeat is that everyone is either a “math person” or a "language person” - such a profoundly ignorant and damaging statement. Sadly, there is all sorts of baggage around learning it (at least in the US educational system) that is completely unnecessary and awful and prevents many people from experiencing the pure joy of mathematics. It is the universal language, both of human beings and of the universe itself. I think it is the purest and most beautiful of all the intellectual disciplines. Back in 2016, I typed up a little guide to studying physics called “ So You Want to Learn Physics.” It ended up being pretty popular, so I started working on other guides, including a guide to studying philosophy (“ So You Want to Study Philosophy”), which I published in 2021, and this long-awaited guide to studying mathematics, which I am sharing with you today.
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