Currently reading Manifolds, Tensor Analysis, and Applications by Abraham et al. Basically, how do you do geometry and calculus on surfaces or objects that are enough like a surface?
For STEM nerds: this book discusses manifolds in infinite dimensional spaces as well as finite dimensions. I believe there is a fluid dynamics application in the book that requires the infinite dimensional theory. There are far simpler books to learn this material if you just need to speedrun into calculations, but I really want the “full story”.
Currently reading Manifolds, Tensor Analysis, and Applications by Abraham et al. Basically, how do you do geometry and calculus on surfaces or objects that are enough like a surface?
For STEM nerds: this book discusses manifolds in infinite dimensional spaces as well as finite dimensions. I believe there is a fluid dynamics application in the book that requires the infinite dimensional theory. There are far simpler books to learn this material if you just need to speedrun into calculations, but I really want the “full story”.