Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to those who have learned at least the elements of the differential and integral calculus, as well… — Felix Klein Copy Share Image
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. — Felix Klein Copy Share Image
Every one who understands the subject will agree that even the basis on which the scientific explanation of nature rests is intelligible only to… — Felix Klein Copy Share Image
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations. — Felix Klein Copy Share Image
Mathematics in general is fundamentally the science of self-evident things. — Felix Klein Copy Share Image
The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity… — Felix Klein Copy Share Image
The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal… — Felix Klein Copy Share Image
Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions. — Felix Klein Copy Share Image
Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs. — Felix Klein Copy Share Image
The presentation of mathematics in schools should be psychological and not systematic. The teacher, so to speak, should be a diplomat. He must take… — Felix Klein Copy Share Image
Regarding the fundamental investigations of mathematics, there is no final ending ... no first beginning. — Felix Klein Copy Share Image
Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called the royal road… — Felix Klein Copy Share Image
The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure. — Felix Klein Copy Share Image
Among mathematicians in general, three main categories may be distinguished; and perhaps the names logicians, formalists, and intuitionists may serve to characterize them. — Felix Klein Copy Share Image
