If I were again beginning my studies I would follow the advice of Plato and start with mathematics.
Mathematics are the result of mysterious powers which no one understands and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
We especially need imagination in science. It is not all mathematics nor all logic but it is somewhat beauty and poetry.
Mathematics is as it were a sensuous logic and relates to philosophy as do the arts music and plastic art to poetry.
In mathematics the art of proposing a question must be held of higher value than solving it.
Modern bodybuilding is ritual religion sport art and science awash in Western chemistry and mathematics. Defying nature it surpasses it.
One of the most amazing things about mathematics is the people who do math aren't usually interested in application because mathematics itself is truly a beautiful art form. It's structures and patterns and that's what we love and that's what we get off on.