I am reading a lot of maths lately, trying to get as much as possible before my birthday.
Algebra and analysis.
Algebra and geometry.
Algebra and number theory.
What is algebra? It comes from arabic, meaning the reunion of broken parts. “In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.” Wikipedia.
So far in reading algebra, I have been reading about groups, different types of groups, subgroups. Basically a lot of definitions and theorems and proofs regarding groups which follow from the group axioms.
Groups, along with rings and fields (which I have not read yet) are descriptions of the simplest algebraic structures which allow equations like polynomial equations to be solved.
My life is broken, can algebra help to reunion the broken parts of my life?