Algebra studies the existence and uniqueness of solution sets in equations and inequalities. Calculus, and its subset Differential Equations, further explores the properties of Algebra through use of derivatives, antiderivatives (integrals), and partial derivatives/antiderivatives.
Game Theory involves the study of outcomes in scenarios, prediction, and optimization strategies in practical applications. There's many more branches, such as signal theory and other shit, but, quite simply, nobody, yes, mathematicians, NOBODY gives a flying fuck.
Mathematics, akin to chemistry and physics, is not about making friends. You need it a hell of a lot more than it needs you.
Contrary to scholastic doctrine, the majority of Mathematics must be purposely rigged in order to actually achieve a solution. Even more padding and precautionary measures must be added in order to make the solution somewhat understandable or practical.
Mathematics varies from the concrete applicational types, such as calculus and algebra, to the overly-abstract fields, such as linear theory. It's a necessary in anything scientific, and is useful in sweeping the academic debris away from fields in whic...