Pure mathematics must be learned because it is the cellular structure of applied mathematics.
Without the existence of applied mathematics, the greatness as well as the simplicity of mathematics cannot be defined. For me Pure Mathematics only defines the greatness of Maths.
Maths is a language of Science- The Prime Applied Math ;
Applied math speaks for every living and non living structure present on and beyond the earth!
Without the equations and variable and unknowns all theories are just written statements with no aid!
Applied Mathematics finds it ways in the most simplest of forms in a shop and leaps to complex equations where 26 dimensions are gifted by it to complete and prove the M theory!
Where a kid remembers his tables to find cost of candies, a scientist uses Double Integral to find the area on a graph!
From L.B.H to pi ... from angles to Pythagoras.... from area to integral... from division to differentiation.... Applied mathematics defines the full round spectrum of MATH...
So for me personally Applied Math is more preferred1