All the Math You Missed

What Hacker News says

1. vmilnerNov 2024
   He wrote my favourite maths book.

   https://www.cambridge.org/core/books/all-the-math-you-missed...

   https://m.youtube.com/watch?v=ur0UGCL6RWc

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2. nextosJul 2024
   Garrity's All the Math You Missed book, mentioned elsewhere in the comments, draws a nice map of subjects, along with little introductions and book recommendations. The map is good for continuous mathematics, but IMHO fails to consider logic and type theory, which is a bit odd given the separate chapter for category theory. It also does not do proper justice to computation and clumps everything together under the label "algorithms".

   Good alternatives are The Princeton Companion to Mathematics by Gowers and Mathematics: Its content, Methods and Meaning by Alekxandrov, Kolmogorov, et al. Those present much more detailed maps so YMMV.

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3. rramadassApr 2024
   "Approachability" might vary somewhat but you might find the following useful;

   * For an introduction (and a reference) to various areas of Modern Mathematics that one didn't even know existed, The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are a must.

   * All the Math You Missed: (But Need to Know for Graduate School) by Thomas Garrity - A survey and a good adjunct to a textbook.

   * Mathematics: Its Content, Methods and Meaning by Kolmogorov et al. - Classic text from the great Russian Mathematicians.

   * Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming - Unique text from the great Richard Hamming (also checkout his other books).

   There is plenty more of course, specifically; checkout "Dover Publications" texts, many of which are classics and affordable.

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4. Raminj95Apr 2023
   For math I think this book has a great collection of theorems and ideas: All the Math You Missed: (But Need to Know for Graduate School). Although You probably need a certain level of mathematical maturity (A concept which the author of the book is quite passionate about) to really get the most out of it.
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5. foooobabaNov 2022
   3blue1brown linear algebra + the linear algebra chapter from “all the math you missed but need to know for graduate school” - linear algebra and abstract vector spaces in general finally feel familiar.

   Also, timbuktu manuscripts - showed a history that I had never really heard of. These are written manuscripts of african scholars which are hundreds of years old, and still exist today. Some record the history of great west african civilizations along with other things they studied (e.g. science, religion, math, literature, ect). I was never taught this history even existed but yet was made to learn the various details about asian, european, middle eastern, central/south american history. This, and the attempts to destroy/steal these manuscripts at various points in history, made it click how serious power of controlling information, and ultimately influencing beliefs can be, with respect to giving legitimacy to the various rulers/authorities. Beliefs/perceptions matter quite a lot. This 1hr lecture is quite good: https://m.youtube.com/watch?v=lQiqyyRfL2Y&t=16s

   Behavioral biology class from Dr. Sapolsky (Sanford) - explains a lot of why we behave the way we do, from different biological perspectives https://m.youtube.com/playlist?list=PLqeYp3nxIYpF7dW7qK8OvLs...

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6. sasaf5Nov 2022
   Strang's "Introduction to Linear Algebra". This book is a friend!

   Garrity's "All the Math You Missed". Brings you up to speed fast, and has great references.

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