David Hilbert

Heyrovsky Jaroslav (1890-19670 Czech phys. chem., discoverer of polarography Hilbert David (1862-1943) Ger. math., investigated theory of numbers and relative fields, developed Hilbert space in work on integral equations... 

BORN, MAX (1882-1970). A German-born British physicist. Max Born studied mathematics and physics and in 1904 became David Hilbert is private assistant for. While at the University of Breslau, he won a competition on the stability of elastic wires and it became the dissertation for his Ph.D. After graduate school, he studied special relativity for a while, then became interested in the physics of crystals. In 1912. he published the Born-Karman theory of specific heats and his work on crystals is a cornerstone of solid-state theory. 

Likewise, the three columns of the matrix A2 above represent three mutually perpendicular, normalized vectors in 3D space. A better name for an orthogonal matrix would be an orthonormal matrix. Orthogonal matrices are important in computational chemistry because molecular orbitals can be regarded as orthonormal vectors in a generalized -dimensional space (Hilbert space, after the mathematician David Hilbert). We extract information about molecular orbitals from matrices with the aid of matrix diagonalization. 

L. Corry David Hilbert and the Axiomatization of Physics (1898-1918). FromGrund-... 

El I liny Noether (1882-1935), Gcri i lai i mathematician, informally professor, formally only the assistant of David Hilbert at the University of Gottingen (in the first quarter of the 20th century, women were not allowed to be professors in Germany). Her outstanding achievements in mathematics meant nothing to the Nazis, because Noether was Jewish, and in 1933, Noether was forced to emigrate to the United States and join the Institute for Advanced Study at Princeton University. 

Hilbert space A linear vector space that can have an infinite number of dimensions. The concept is of interest in physics because the state of a system in quantum mechanics is represented by a vector in Hilbert space. The dimension of the Hilbert space has nothing to do with the physical dimension of the system. The Hilbert space formulation of quantum mechanics was put forward by the Hungarian-born US mathematician John von Neumann (1903-57) in 1927. Other formulations of quantum mechanics, such as matrix mechanics and wave mechanics, can be deduced from the Hilbert space formulation. Hilbert space is named after the German mathematician David Hilbert (1862-1943), who Invented the concept early in the 20th century. 

Martin David Kruskal obtained the MS degree from University of New York in 1948, and the PhD title in mathematics there in 1952. He was a research scientist in the Plasma Physics Laboratory, Princeton University, from 1951 to 1961, from when he took over there as professor of astrophysical sciences, and professor of mathematics in 1981 imtil retirement in 1989. He was then David Hilbert professor of mathematics at Rutgers University, New Brunswick NJ. He had been from 1985 to 1991 trustee of the Society of Industrial and Applied Mathematics SIAM, senior fellow of the Weizmaim Institute of Sciences from 1973 to 1974, and 1979 Gibbs Lecturer of the American Mathematical Society AMS. Kruskal was the recipient of the 1983 Dannie Heineman Prize for mathematical physics, the 1986 Potts Gold Medal of the Franklin Institute, and the National Medal of Science of the National Seience Foundation in 1993. He was member AMS, Fellow of the Ameriean Physieal Soeiety APS, and the National Academy of Sciences NAS. 

The popular problems of kinetics theory is the derivation of hydrodynamic equations, in certain conditions, solution of f (r, v,t) transport equation is similar the form that can relate directly to continuous or hydrodynamic description. In certain conditions the transport process is like hydrodynamic limit. In 1911 David Hilbert was who ptropwsed the existence Boltzmann equations solutions (named normal solutions), and these are determinate by initial values of hydrodynamic variables it return to collision invariant (mass, momentum and kinetics energy), Sydney Chapman and David Enskog in 1917 were whose imroUed a systematic process for derivate the hydrodynamic equations (and their corrections of superior order) for these variables. 

David Hilbert, a professor of mathematics at the University of Gottingen, was the recognized leader of German mathematics. At a mathematics conference in 1928, Hilbert identified three questions about the foundations of mathematics that he hoped would be resolved in short order. The third of these was the so-called decidability problem Was there was a foolproof procedure to determine whether a mathematical statement was true or false Essentially, if one had the statement in symbolic form, was there a procedure for manipulating the symbols in such a way that one could determine whether the statement was true in a finite number of steps ... 

With the following words, David Hilbert opened the Second International Congress of Mathematicians in Paris in the year 1900 ... 

Opening sentence of an article Mathematical Problems of David Hilbert, available at http //www.cmi.ac.in/ smahanta/hilbert.html (accessed August 20, 2015). 

Although some may view the continuing interest of a number of scientists in construction of novel indices, when there are thousands that have been already introduced, as a violation of the Occam s razor doctrine, one should not overlook another doctrine that characterizes the importance of scientific results, which says the importance of novelty can be measured by the number of existing items it makes irrelevant. This comes from David Hilbert (1862-1943), a very distinguished German mathematician at the turn of the century, whose exact words are, One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it. ... 

---