4 ms·
>is the thing that bothers you that there's formal mathematics No. I like formal mathematics. The audience of this book includes “motivated high school studen
by 74639497 7y ago
>is the thing that bothers you that there's formal mathematics
No. I like formal mathematics.
The audience of this book includes “motivated high school student who hasn’t seen calculus yet“.
IMO the book fails here. The average high schooler won’t understand this book on their own. This book is excellent if you already have an understanding of abstract algebra or higher level mathematics though, which is why I said it’s probably one of the best introduction to Category theory text out there. The topics covered in this book are great. This is a really outstanding book.
- throwlaplace 7y agocompare >The average high schooler with >motivated high school student certainly we all underestimate the difficulty of material (obverse of the dunning-krueger effect) but it says it does at least hint at it right there. but honestly i'm curious where in the book you see an example of a term or notion that isn't defined in situ? as usual (with all of these things) mathematical maturity is what's required rather than familiarity with the material. what this means is a sense for why definitions are written in the way that they are, which hypotheses in theorems capture the phenomenon and which are technical, which lemmata can be ignored on first reading, etc. this is a very hard thing to communicate, especially in text, but this book does do its best to make that not-overwhelming as possible with ample restatements of definitions and assumptions and diagrams.