Welcome to my wonderful Zettelkasten of mathematics definitions! Here you can find a curated list of mathematics definitions from various different disciplines in mathematics. The aim is to provide (among many other sites) a centralized repository where I can find definitions with relative ease. I say I and not we because first and foremost, this zettelkasten is for my own personal use for when I need quick access to definitions I need. Indeed, you’ll find most of the definitions here line up with my personal research interests and work. However, this work is all in the public domain, and anyone is free to access it; just keep in mind it is not necessarily what you need.
There are some things that need to be moved out the way first:
I do have somewhat of a personal process regarding these. I have also started keeping a zibaldone for which I (at-least I hope I will) jot down some observations and reflections. No doubt, I will be reflecting on also keeping an online zettelkasten If you want to know more about my personal process, feel free to read the zibaldones I label as zettelkasten here.
I hope to update these zettelkastens on a regular basis, in accordance to my immediate needs given my research work and interests, and given my self study habits. In fact, the zettelkasten has provided me another paradigm of self study all in itself.
These zettelkastens lack a structure and are rather free form as of now. I haven’t decided whether I will group these zettelkastens under different topics to which each definition pertains. However, I believe so far that the free form nature of the project is actually a benefit, and there is no need to impose structure where it is not necessary. For the most part, the graph imparts and implies most, if not all the structure of the zettelkasten. I encourage you to just pick a definition and get lost in the web of vertices!