Like linear algebra goes in depth about linear systems, what should I look for to learn about the extension of linear algebra to nonlinear systems? Is there a name of the field of study? If I go into a book store to buy books about it, what should I be looking for? Abstract Algebra? Complex Analysis? If not, what are those anyway? Also, I've realised that is cool to know some calculus before linear algebra to relate some topics, but not necessary. Is multivariable calculus and differential equations something I should know before all of this other things? I'm just asking cause most universities have calculus up to differential equations before any of the stuff I'm asking about, including linear algebra. Is that for a particular reason? Thanks!