What field of mathematics should I look into that deals with properties of polynomials, roots, operations of functions (particularly inverses) and graphs? Any textbook reccomendations?
I'm trying to self-teach mathematics and am currently going through a calculus text. I am very confident in my foundations of algebra, but could use a more thorough understanding of the above topics. Precalculus texts only contain what I already know and don't contain more insight. Is Linear Algebra what I should be looking into?
>>8560461
Algebra by Gelfand and Shen
Functions and Graphs by Gelfand, Glagoleva, and Shnol
The Method of Coordinates by Gelfand, Glagoleva, and Kirillov
Trigonometry by Gelfand and Saul
>>8560471
hi gelf
>>8560461
honestly, you learn that while learning calculus. keep working at it.
If you are worried about not knowing abstract things like the name of super hyper ellipsoids or whatever dont be. It can be quickly researched when it becomes relevant, if it does at all
>>8560461
Check out galois theory it's a fucking hoot