Napkin (also titled “An Infinitely Large Napkin”) is a lightweight, semi-formal introduction to higher mathematics, aimed at giving readers a bird’s-eye view over various mathematical fields. It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. Because it is written in LaTeX (with supporting Asymptote or other tools), readers can compile their own version, and the repository integrates diagrams, flowcharts, and supplementary files.
Features
- Covers many fields/topics in higher mathematics: foundations, real analysis, algebra, geometry, etc. in overview mode
- Assumes proof experience; focuses on definitions, motivations, conceptual clarity rather than extremely detailed proofs everywhere
- LaTeX source is provided so one can build the PDF or modify content
- PDF version available; accessible format for reading offline
- Continuous improvements via issues/pull requests (errata, suggestions, etc.)
- Light / minimal external dependencies; mostly static content rather than large software infrastructure