"... in a single view, it sweeps over immense domains, now unified by the axiomatic method, but which were formerly in a completely chaotic state... In place of the sharply bounded compartments of algebra, of analysis, of the theory of numbers, and of geometry, we shall see, for example, that the theory of prime numbers is a close neighbor of the theory of algebraic curves, or, that Euclidean geometry borders on the theory of integral equations."
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