a list of textbooks, workbooks, and some notes on the math you ought to know
The status indicator reflects the current state of the work: - Abandoned: Work that has been discontinued - Notes: Initial collections of thoughts and references - Draft: Early structured version with a central thesis - In Progress: Well-developed work actively being refined - Finished: Completed work with no planned major changes This helps readers understand the maturity and completeness of the content.
The confidence tag expresses how well-supported the content is, or how likely its overall ideas are right. This uses a scale from "impossible" to "certain", based on the Kesselman List of Estimative Words: 1. "certain" 2. "highly likely" 3. "likely" 4. "possible" 5. "unlikely" 6. "highly unlikely" 7. "remote" 8. "impossible" Even ideas that seem unlikely may be worth exploring if their potential impact is significant enough.
The importance rating distinguishes between trivial topics and those which might change your life. Using a scale from 0-10, content is ranked based on its potential impact on: - the reader - the intended audience - the world at large For example, topics about fundamental research or transformative technologies would rank 9-10, while personal reflections or minor experiments might rank 0-1.
Please take not that this is not a curriculum meant to be followed in any particular order. Rather it is a list of books grouped by category, that I believe are the best in their respective categories. I have tried to include a wide range of topics, from the most basic to those needng the most prerequisites.
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Yotam, Kris. (Jun 2025). Math I Ought to Know. krisyotam.com. https://krisyotam.com/notes/science/math-i-ought-to-know
@article{yotam2025math-i-ought-to-know,
title = "Math I Ought to Know",
author = "Yotam, Kris",
journal = "krisyotam.com",
year = "2025",
month = "Jun",
url = "https://krisyotam.com/notes/science/math-i-ought-to-know"
}