Math Links

Introduction

This is something of a tracker of my journey through advanced math. I'll put links to the resources I use here as I progress. Wikipedia links will be omitted because they're practically omnipresent, but absolutely look up anything and everything on Wikipedia, as I do - it's an excellent resource, although it gets less helpful the more advanced the topic.

All textbook links here are open access, freely available textbooks, just collated in this one place. The only one I'm not sure about is the QSYS textbook that I got from my Brown quantum computing course.

I won't be able to catalogue absolutely everything I use here. Absolutely look for self study materials on your own. If you find something that you think people should REALLY see, again, email me at christianzhouzheng@gmail.com!

Links Catalogue

📗 - OpenCourseWare page
📘 - Textbook

How to Find Resources

I used to host pirated online textbooks here - now it's only links to legitimate online textbooks and some Amazon links to those you should buy, since distribution certainly doesn't qualify as fair use. I personally like using physical copies, so I get used copies of the books recommended for MIT courses, but I'm also a proponent of using online books. I believe self-education falls under fair use, so I fully support you going onto Google and finding online copies of textbooks for your viewing pleasure.

The easiest way to do this is through adding "filetype:pdf" to your Google search. For example, Artin's Algebra - your Google search should be "artin algebra filetype:pdf". academia.edu, linked above, is also a very useful resource - although you'll need to search for the resource you're looking for among the sea of irrelevant materials. Good luck!

Acknowledgements

Many thanks to the faculty and staff at MIT for compiling their classes and putting them in the public domain. In particular, the classes marked -SC are fully-fledged self-study-oriented courses, and they are an excellent place to start at that. Other classes have full video lecture series, course assignments and problem sets, lecture notes, and/or links to freely available textbooks. The MIT team has my greatest gratitude and respect for the work they've done making advanced topics so accessible.

Thanks as well to the other professors and lecturers who make their notes openly available, like Paul of Paul's Math Notes, and similarly to those who make mathematical media content, like 3Blue1Brown and Zetamath.

Finally, thanks to the millions of anonymous editors on sites like Wikipedia and ProofWiki that use their valuable time to add all sorts of ideas to the public domain, and to the wonderful people who make all kinds of other resources publicly available.

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