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Book series. David Hilbert's Lectures on the Foundations of Mathematics and Physics, 1891-1933
David Hilbert, born on January 23, 1862, in Königsberg, Prussia (now Kaliningrad, Russia), was a German mathematician who made significant contributions to the field of mathematics. He is best known for his work in reducing geometry to a series of axioms and establishing the formalistic foundations of mathematics.
Abstract. A great master of mathematics passed away when David Hilbert died in Göttingen on February the 14th, 1943, at the age of eighty-one. In retrospect it seems to us 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 ...
David Hilbert: the architect of modern mathematics. This is a terrible and superficial article. This search for axioms led him to tackle successively—and establish the foundations of—the Theory of Invariants (1886-1893), the Theory of Numbers (1893-1898), Geometry (1898-1902), integral analysis and equations (1902-1912) —thereby laying ...
Aug 8, 2019 · On August 8, 1900 David Hilbert, probably the greatest mathematician of his age, gave a speech at the Paris conference of the International Congress of Mathematicians, at the Sorbonne, where he presented 10 mathematical Problems (out of a list of 23), all unsolved at the time, and several of them were very influential for 20th century mathematics.
This fundamental theorem in the theory of integral equations contains two statements, namely: First. It answers the question as to the number and existence of those equations which have a given degree, a given abelian group and a given discriminant with respect to the realm of rational numbers. Second.
lecture notes (Hilbert, 1905a, 1905b) give us a picture of the state of Hilbert’s work on the foundations of mathematics. It shows that Hilbert had a clear motivation for reformulating the foundations, and some initial ideas on how to proceed. While the questions are stated, Hilbert does not yet provide any answers: Quote 1 (Hilbert, 1905a: 191)
