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"KOOPMAN, B. O. - GEORGE D. BIRKHOFF. - THE ERGODIC THEOREM DISCOVERED AND PROVED
Reference : 48257
(1931)
Hamiltonian Systems and Transformation in Hilbert Space. (Koopman) (+) Proof of a Recurrence Theorem for strongly transitive Systems. (Birkhoff) (+) Proof of the Ergodic Theorem. (Birkhoff).
Easton, PA., Mack printing Compagny, 1931. Royal8vo. Contemp. full cloth. Spine gilt and with gilt lettering. In: ""Proceedings of the National Academy of Sciences of the United States of America"", Vol. 17. VII,710 pp. (Entire volume offered). The papers: pp. 315-318, 650-655 and 656-660.
First editions of these importent papers in statistical mechanics. The so-called Koopman-von Neumann mechanics is a description of classical mechanics in terms of Hilbert space, introduced by Bernard Koopman (the paper offered) and John von Neumann in 1931 and 1932. Ergodicity was introduced by Boltzmann, but the modern theory started from the paper by Koopman, and has been a cornerstone of statistical mechanics since. The ergodic method has found impressive applications in the fields of statistical mechanics, number theory, probability theory, harmonic analysis, and combinatorics.As Koopman and von Neumann demonstrated, a Hilbert space of complex, square integrable wavefunctions can be defined in which classical mechanics can be formulated as an operatorial theory similar to quantum mechanics.Birkhoff's proof (in the third paper offered) of ""the ergodic theorem was deemed as importent as his proof of Poincare's geometric theorem"" (Landmarks Writing in Western Mathematics 1640-1940, p. 877).
EEN ONTMOETING MET DE TOVENAAR,
z.p., De Prom, 1996 Paperback, blauwe kartonomslag met flappen, 120 x 175mm., 128pp., z/w biografisch materiaal. ISBN 906814757.
Over Willem Frederik Hermans in foto's en teksten. De Prom Bibliofiel 33.
LE FONCTIONNEMENT DU CERVEAU humain pendant les phénoménes métapsychiques
1939 REVUE METAPSYCHIQUE 1939- IN8 br.14p.
By Uytscheyding van Koophandel - Par Cessation de Commerce. P. BARELLA Koopman in prenten. (Broadside, print and book auction sale).
Loven, (Leuven), drukkery van P. Barella, s.d. (1852), enkel blad, tweezijdig bedrukt (Frans, Nederlands). Single leaf, printed at two sides (French, Dutch), 27,5 x 18 cm, broadside announcement for a print and book auction sale of the contents of Barella's shop ( Diestersche Straet 29 ).
CAPELLEVEEN Paul van - Sophie HAM - Jordy JOUBIJ ( authors ) - Clemens De WOLF - Paul van CAPELLEVEEN ( editors ) - [ ] Louis KOOPMAN :
Reference : 50482
Voix et Visions. La Collection Koopman et l'Art du Livre français.
2. Zwolle, Waanders / 's Gravenhage - Koninklijke Bibliotheek, 2009, in-4°, 207 pp, index, illustrations en couleur. Cartonnage d'éditeur. Livre en français. ISBN 97889040085321 ..
Detachment tectonics in the central Apennines, Italy.
1984 155 p., 58 figures, loose in rear 2 folded plates (sections and geological map), paperbound. Geologica Ultraiectina. Thesis.
Aspects of middle cretaceous pelagic sedimentation in southern Europe.
1983 112 p., numerous figures, paperbound. Geologica Ultraiectina. Thesis.
cachets a simple cercle de Belgique / De enkelcirkel-stempels van Belgie.
, , 1978 Oorspronkelijk uitgevers omslag,55 Pages, + supplement.
Handbuch der Zoologie. Handbook of Zoology. Band/Volume VIII. Mammalia. Chiroptera: Systematics.
1994 [6], 217, [6] p., 192 figs, 4to, cloth. Library stamps, text slightly undulated. Retail price for new copies is 279 euro.
Peri-operative autotransfusion by means of a blood cell separator.
1993 168 p., num. figs, hardbound. Thesis. Library stamps and marks.
Limosa Jaargang 60 - 1984 Aflevering 4. Sommaire : Verspreidingspatroon van de Roek Corvus frugilegus in Zuidoost-Drenthe - Verschillen in overwinteringsgebied van Friese Scholesksters Haematopus ostralegus - etc.
Nederlandse Ornithologische Unie (NOU). 1984. In-8. Broché. Bon état, Couv. convenable, Agraffes rouillées, Intérieur frais. Paginé de 169 à 216. Nombreuses photos et illustrations en noir et blanc dans et hors texte. Relié par deux agraffes. Texte sur deux colonnes en néerlandais.. . . . Classification Dewey : 598-Ornithologie
Sommaire : Verspreidingspatroon van de Roek Corvus frugilegus in Zuidoost-Drenthe - Verschillen in overwinteringsgebied van Friese Scholesksters Haematopus ostralegus - etc. Classification Dewey : 598-Ornithologie
Ria Van den Brandt, Mariska Koopman-Thurlings
Reference : 43330
(2007)
ISBN : 9782204080811
Bricoler la mémoire : La théologie et les arts face au déclin de la tradition
Paris, Cerf, 2007, in-8°, broché, 326 pages. Bon état.
Brieven Waer in verhandelt worden verscheyde Geschillen, zoo nopens de oprechtinge van het Seminarie-Generael tot Loven, als raekende de ontplaetsing der dry Faculteyten naer Brussel, en andere souvereyne Schikkingen.
0. S.l., s.e., 1789, in-8°, 18,5 x 11 cm, 251 pp, blank paper wrapper, uncut pages, margins and wrapper a bit dustsoiled but a good copy. Not in KUL library.
