It has no need for experimentation to determine itself. Its truth is generally expressed in a single form. Mathematics is beautiful. Trigonometry, in its basic sense, is rather minimalistic, yet sometimes approaches the byzantine complexity of romanticism. Algebra, perhaps is found in the stark clarity of Mondrianism.
Geometry is sculpture.
Each of these branches, however, are interrelated in tremendously deep ways - and so you find that after the landscape becomes more and more complex, it also begins to simplify because of these profound linkages between subjects. Take what you know and learn how to apply it to new challenges as you meet them. Calculators Logic Check your assumptions. Check your assumptions at the door. Check your assumptions at the door, and throw the hatcheck ticket away.