I discovered mathematics and other things like painting, and I kind of stumbled upon architecture because it combined so many of my interests.
Learning geometry need not be relegated to the high school; studying and discovering mathematics is, in fact, a process, one as beautiful and profound to many as Heller's fascination with design.
Under Professor Stewart's guidance you will discover the mathematics of codes, sudoko, Rubik's cube, music, primes and pi.
Such folk may be bemused to discover that mathematics can be fun and that books on the subject are often bestsellers.
The dean of French mathematical physics, Jules-Henri Poincaré -- who discovered the mathematics of chaos in 1893 and whose 1899 classic on celestial mechanics was reprinted by NASA in order to plan Apollo's course to the moon -- came very close to discovering the special theory of relativity.
Eventually, however, she discovered that mathematics offered no certainties either: "You're told that two parallels never meet, and then you learn that in non-Euclidean geometry they can easily come together.
The exterior of the Pavilion was based on the parabolic curves that Xenakis had discovered in mathematics and which he used to structure his early musical works, such as Metastasis; it was a symphony in swooping steel and concrete, and seeing it today in photographs, it still looks like the future made flesh.
Uranus, for example, would be a competitive incorrect alternative to the question, "Which outer planet was discovered by mathematics rather than direct observation?" because Uranus is an outer planet.
Since we invent mathematics in its entirety, we do not discover pre-existing mathematical objects or facts or that mathematical objects have certain properties, for "one cannot discover any connection between parts of mathematics or logic that was already there without one knowing" (PG 481).
The historically first exact formula for, based on infinite series, was not available until a millennium later, when in the 14th century the Madhava Leibniz series was discovered in Indian mathematics.
