One needs to know the math to be able to understand how to transform the physical world to math so as to solve the problems. Math is not a computer module that

One needs to know the math to be able to understand how to transform the physical world to math so as to solve the problems. Math is not a computer module that can be used as a black box except in trivial cases. One needs to know the math to be able to understand how to transform the physical world to math so as to solve the problems. Example: Travelling salesman used to repair document gone through the document shredder. There isn't a book you can find this, either you understand the math principles or not. https://news.ycombinator.com/item?id=27713441 https://news.ycombinator.com/item?id=27713441 Do you need to know the proofs though? Most of the time no, but sometimes you need to know more. Many proofs for example invert tables and in real code you better avoid it. Buy you need to know the Gauss Jordan to avoid the wtf when you crash into its common numerical instabilities.