‎Sur la fonction exponentielle. (+) Suite... (+) Sur la fonction exponentielle. (+) (Suite). 4 Parts (all).‎

‎Paris: Gauthier-Villars, 1873. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 77, Nos 1, 2, 4 a. 5 (4 entire issues offered). Hermite's paper: pp.18-24" 74-79 226-233" 285-293). With halftitle and titlepage to vol. 77.‎

‎First apperance of Hermite's epoch-making memoir in which he proved the transcendence of e, and thus initiated a new era in number theory. A decade later Lindemann used the method of Hermite's work to establish the transcendence of pi. Parkinson ""Breakthroughs"" 1873 M.‎

‎On the Attraction of homogenous Ellipsoides. Read June 15, 1809.‎

‎(London, W. Bulmer and Co., 1809). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1809 - Part II. Pp. 345-372. Clean and fine.‎

‎First printing this importent paper in which Ivory introduces his well-known theorem which bears his name. It states that the attraction of an ellipsoid upon a point exterior to it is dependent upon the attraction of another ellipsoid upon a point interior to it.""In 1809 J. Ivory proved the three-dimensional version of this theorem by straightforward calculation and by using an appropriate parametrization. This theorem holds in the n-dimensional Euclidean space (n > 1). It has been shown that it is also true in the pseudo-Euclidean plane (Minkowski)"" (H. Stachel).""Ivory's scientific reputation, for which he was awarded many honours during his lifetime, including knighthood of the Order of the Guelphs, Civil Division (1831), was founded on the ability to understand and comment the work of the French analysts rather than any great originality of his own...Ivory's work, conducted with great industry over a long period, helped to foster in England a new interest in the application of analysis to physical problems."" (DSB VII. p. 37).‎

‎De theoremate Abeliano observatio.‎

‎Berlin, G. Reimer, 1832. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 9. Bd. pp. 99-104.‎

‎First printing.‎

‎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).‎

‎Mémoire sur la dernier théoreme de Fermat.‎

‎(Paris, Bachelier), 1839. 4to. No wrappers. Extracted from ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome IX. Pp. 45-46.‎

‎First printing of an importent paper in mathematics in which Lamé proves that Fermat's last theorem is true for n=7, hereby bringing the known proved cases to n= 3, 4, 5, and 7. ( x7 + y7 = z7).‎

‎Experimentale og teoretiske Undersøgelser over Legemernes Brydningsforhold. (Experimental and theoretical investigations on the refractions in matter).‎

‎Kjøbenhavn (Copenhagen), Bianco Luno,1869. 4to. Uncut and unopened in orig. printed wrappers. [Off-print from: Vidensk. Selsk. Skr., 5 Række, naturvidenskabelig og matematisk Afd., 8 Bd. V.]. Pp. (203-)248. A mint copy.‎

‎First printing, off-print in original printed wrappers of this groundbreaking paper.""A further remarkable result of Lorenz' optical researches on the basis of his fundamental wave equation was the well-known formula (Lorents-Lorenz formula) for the refraction constant R... His first paper on the refraction constant, in which he also gave an experimental verification of his formula in the case of water, dates from 1869. In 1870 H. A. Lorentz arrived at the same result, independently of Lorenz."" (D.S.B. VIII:501).‎

‎Dictionnaire des sciences mathématiques pures et appliquées. ‎

‎Deuxième édition.Deux tomes en deux volumes in 4 demi-cuir pièces de titre et tomaison cuir noir,roulette,fers,filets dorés.Tome 1:faux-titre,titre,VIII,584 pages, texte sur deux colonnes,30 planches gravées en fin de volume;Tome 2:faux-titre,titre,620 pages,planches gravées n°31 à 58 en fin de volume.Paris Chez L.Hachette,librairie de l’Université de France 1845.Mors restaurés.Bon état d’ensemble,bien complet des planches.non rogné, pratiquement sans rousseurs‎

10 Images

‎Leçons de Thermodynamique‎

‎Paris. Hermann. 1913. In-8. Br. Avec une conférence du même auteur à la société chimique de Berlin sur le Théorème de Nernst et l'Hypothèse des Quanta. Nbrs figures. 310 p. TBE. ‎

‎Sur les systémes orthogonaux de fonctions. (Reisz) + Sur la convergence en moyenne. (Fischer). + Applications d'un théoreme sur la convergence en moyenne. (Fischer).‎

‎(Paris, Gauthier-Villars), 1907. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 144, No 11, No. 19 and No. 21. Pp. (593-) 664 + pp. (1009-) 1080. + pp. (1137-) 1192.(3 entire issues offered).Reesz' paper: pp. 615-619. Fischer's paper: pp. 1022-1024 a. 1148-51. Nos 19 a. 21 with some small tears to outher margins. paper fragile. Sewing loose.‎

‎First apperance of two fundamental papers - Riesz setting forth the theorem and Fischer proving it - the mathematics of which later made it clear that there is an equivalence between matrix mechanics (Heisenberg) and wave mechanics (Schrödinger) in quantum physics.The Riesz-Fischer theorem of 1907, concerning the equivalence of the Hilbert space of sequences of convergent sums of squares with the space of functions of summable squares, formed the mathematical basis for demonstrating the equivalence of matrix mechanics and wave mechanics.‎

‎Solution de quelques Problêmes relatifs à la Théorie des Surfaces courbes, & des Courbes à double courbure. (Présenté en 1774).‎

‎(Paris, Moutard, Panckoucke, 1780). 4to. Extract from ""Mémoires fe Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome IX. Pp. 593-624 and 2 folded engraved plates. Clean and fine.‎

‎First appearance of an importent papwer in the history of analytic geometry.""In this article Tinseau gave an interesting generalization of the Pythagorean theorem for space of three dimensions: the square of the area of a plane surface is equal to the sum of the squares of the projection of this surface upon three mutually perpendicular coordinate planes....To Tinseau it appears that the use of the word ""conoid"" in the modern sense is due.""(Boyer ""History of Analytic Geometry, p. 207).""Two of the three memoirs that constitute Tinseau’s oeuvre deal with topics in the theory of surfaces and curves of double curvature: planes tangent to a surface, contact curves of circumscribed cones or cylinders, various surfaces attached to a space curve, the determination of the osculatory plane at a point of a space curve, problems of quadrature and cubature involving ruled surfaces, the study of the properties of certain special ruled surfaces (particularly conoids), and various results in the analytic geometry of space. In these two papers the equation of the tangent plane at a point of a surface was first worked out in detail (the equation had been known since Parent), methods of descriptive geometry were used in determining the perpendicular common to two straight lines in space, and the Pythagorean theorem was generalized to space (the square of a plane area is equal to the sum of the squares of the projections of this area on mutually perpendicular planes). (DSB). Although Tinseau published very little, his papers are of great interest as additions to Monge’s earliest works. Indeed, Tinseau appears to have been Monge’s first disciple.‎