Question: what are the branches of mathematics and their meaning

title: Areas of mathematics
text: Numerical analysis Many problems in mathematics can not in general be solved exactly . Numerical analysis is the study of iterative methods and algorithms for approximately solving problems to a specified error bound . Includes numerical differentiation , numerical integration and numerical methods ; c.f. scientific computing . See also List of numerical analysis topics Computer algebra This area is also called symbolic computation or algebraic computation . It deals with exact computation , for example with integers of arbitrary size , polynomials or elements of finite fields . It includes also the computation with non numeric mathematical objects like polynomial ideals or series . Physical