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David Hilbert Natur und mathematisches Erkennen (German, Paperback, Softcover reprint of the original 1st ed. 1992)
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David Hilbert Natur und mathematisches Erkennen (German, Paperback, Softcover reprint of the original 1st ed. 1992)
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At the time of David Hilbert's death in 1943, his leading disciple,
Her- mann Weyl, wrote that " . . . the era of mathematics upon
which he impressed the seal of his spirit and which is now sinking
below the horizon achieved a more perfect balance than prevailed
before and after, between the mastering of concrete problems and
the formation of general abstract concepts. "l Weyl attributed this
"happy equilibrium" in no small part to Hilbert 's work and its
influence, adding that "no mathematician of equal stature has risen
from our generation., 2 Surely, it would be difficult to exaggerate
the importance of Hilbert's contributions to twentieth-century
mathematics or even to conceive of what mathematics today would be
like without them. He overturned the concep- tual framework of
older fields ranging from invariant theory and algebraic number
theory to the foundations of geometry. He rehabilitated the Dirich-
let Principle, propelled integral equation theory to the forefront
of active research, derived the field equations governing
Einstein's general theory of relativity, created modern proof
theory and metamathematics, and through- out his career he
championed the power and efficacy of the axiomatic method not only
for mathematics but for all of the exact sciences. Every educated
mathematician knows something about Hilbert space, the Hilbert
problems, and Hilbert 's formalist program.
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