It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road to our particular field of knowledge.

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.

Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning.

The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point.