‎Mathematics‎

‎"MONGE, (GASPARD). - THE GENERAL REPRESENTATION OF DEVELOPABLE SURFACES.‎

‎Mémoire sur les Fonctions Arbitraires continues ou discontinues, qui entrent dans les Intégrales des Équations aux Différences finies. (1774) (+) Mémoire sur les Propriétés de plusieur Genres de Surfaces Courbes, particulièrement sur celles des Surfac...‎

‎(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. 345-381 a. 2 folded engraved plates. And pp. 382-440 a. 3 folded engraved plates. Clean and fine.‎

‎First printing of two importent papers by Monge in differential functions and infinitesimal geometry, - in the first he discussed the nature of the arbitrary functions involved in the integrals of, finite difference equations. He also considered the, equation of vibrating strings, a topic he later investigated more fully. In the second memoir Monge returned to infinitesimal geometry. Working on the theory of developable surfaces outlined by Euler in 1772, he applied it to the problem, of shadows and penumbrae and treated several, problems concerning ruled surfaces. ""It is in this paper that he gives a general representation of developable surfaces...""(Morris Kline ""Mathematical Thoughts from Ancient to Modern Times"", p. 567).‎

Bookseller reference : 44972

‎"MONGE, (GASPARD). - THE NATURE OF THE ARBITRARY FUNCTION OF PARTIAL DIFFERENTIAL EQUATIONS.‎

‎Mémoire sur la Détermination des Fonctions Arbitraires qui entrent dans les intégrales des Équations aux differences partielles-‎

‎(Paris, Imprimerie Royale, 1776). 4to. Extracts from ""Mémoires de Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Année 1773. Pp. 305-327. Clean and fine.‎

‎"MOORE, ELIAKIM HASTINGS.‎

‎Concerning Transcendentally Transcendental Functions.‎

‎Leipzig, B.G. Teubner, 1896. 8vo. In ""Mathematische Annalen, 48. Band, 1-2 Heft, 1896"". In the original printed wrappers, without backstrips. Wrappers with a few nicks and some brownspotting to front wrapper and title page. Library stamp to verso of title page. [Moore:] Pp. 49-74. [Entire issue: IV, 240 pp. + 1 folded plate].‎

‎"MÖBIUS, A.F.‎

‎Über eine allgemeinere Art der Affinität geometrischer Figuren.‎

‎(Berlin, G. Reimer, 1834). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 12.. Pp. 109-136.‎

‎First appearance of this paper in projective geometry, which can be seen as an extension of a chapter in the author's famous ""Baryzentrischer Kalkül""‎

Bookseller reference : 41887

‎"MÖBIUS, AUGUST FERDINAND‎

‎Kurze Darstellung der Haupt-Eigenschaften eines Systems von Linsengläsern.‎

‎(Berlin, Georg Reimer, 1830) 4to. As extracted, without backstip. In """"Journal für die reine und angewandte Mathematik"", 5 band. Fine and clean. Pp. 113-32.‎

‎First printing. In the 1820s, yet another pupil of Gauss, August Ferdinand Mobius (1790-1868), also developed an interest in geometrical optics, but the papers that he devoted to the subject were also very much part of the eighteenth-century tradition of dioptrics and catoptrics. Taking the basics of this kind of optics for granted, he concentrated on the simplification of the calculations involved [The present paper]. (Atzema ""ALL PHENOMENA OF LIGHT THAT DEPEND ON MATHEMATICS"").‎

Bookseller reference : 47448

‎"MÖBIUS, AUGUST FERDINAND.‎

‎Über den Mittelpunct nicht paralleler Kräfte.‎

‎Berlin, G. Reimer, 1837. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 16. band, Heft 1, 1837. Entire first heft offered. Fine and clean. Pp. 1-10. [Entire volume: 96 pp + 1 folded plate].‎

‎First printing of Möbius paper on the center of non-parallel forces. ""... he introduced (for the first time, he thought) the use of vectorial addition and subtraction to represent velocities and forces and effectively showed the computational usefulness of that very ancient mathematical device, the epicycle."" (DSB).‎

Bookseller reference : 47532

‎"NEUMANN, CARL.‎

‎Ueber gewisse Eigenschaften der Differentialgleichungen der Dynamik.‎

‎Leipzig, B. G. Teubner, 1869. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 11. Band. 1. Heft."" Entire issue offered. Minor loss to wrappers, internally fine and clean. [Neumann:] Pp. 182-186. [Entire issue: IV, 191, (1) pp.].‎

‎First printing of Neumann's paper on the properties of differential equations of dynamics. ""Neumann, who led a quiet life, was a successful university teacher and a productive researcher. More than two generations of future Gymnasium teachers received their basic mathematical education from him. As a researcher he was especially prominent in the field of potential theory. His investigations into boundary value problems resulted in pioneering achievements"" in 1870 he began to develop the method of the arithmetical mean for their solution. He also coined the term ""logarithmic potential."" The second boundary value problem of potential theory still bears his name"" a generalization of it was later provided by H. Poincaré."" (DSB)‎

Bookseller reference : 44776

‎"NEUMANN, JOHN V.‎

‎Widerspruchfreiheitsfrage in der axiomatischen Mengenlehre.‎

‎Berlin & Leipzig, Walter de Gruyter, 1929. Large 4to. In the original printed wrappers. In "" Journal für die reine und angewandte Mathematik"", Bamd 160, heft 4. Entire issue offered. Fine and clean. Pp. 227-42. [Entire issue: Pp. 199-242].‎

‎First printing of John von Neumann's on the opposition freedom of axiomatic set theory.‎

Bookseller reference : 50826

‎"NEUMANN, JOHN von.‎

‎Einige Bemerkungen zur Diracschen Theorie des relativistischen Drehelektrons.‎

‎Berlin, Julius Springer, 1927. 8vo. Contemp. hcloth. Gilt lettering to spine. In: ""Zeitschrift für Physik"" Vol. 48. VIII,891 pp. (Entire volume offered). Neumann's paper: pp. 868-881. A stamp to titlepage. Clean.‎

‎First printing of a famous paper in which Neumann extends the relativistic wave equation of the electron set forth by Dirac earlier the same year and Neumann here gives the five fundamental covariants of the Dirac theory.""Von Neumann’s most famous work in theoretical physics is his axiomatization of quantum mechanics. When he began work in that field in 1927, the methods used by its founders were hard to formulate in precise mathematical terms"" ""operator"" on ""functions"" were handled without much consideration of their domain or definition to their topological properties: and it was blithely assumed that such ""operators,"" when self-adjoint, could always be ""diagonalized"" (as in th finite dimensional case), at the expense of introducing ""Dirac functions"" as ""eigenvectors."" Von Neumann showed that mathematical rigor could be restored by taking as basic axioms the assumptions that the states of a physical system were poinds of a Hilbert space and that the measurable quantities were Hermitian (generally unbounded) operators densely efined in that space.""(DSB).‎

Bookseller reference : 48882

‎"NEUMANN, JOHN VON.‎

‎Mathematical Foundations of Quantum Mechanics.‎

‎Princeton, Princeton, University Press, 1955. 8vo. Original printed wrappers. XII,445 pp. A fine and clean copy.‎

‎"NEWTON, ISAAC.‎

‎La Methode des Fluxions, et des Suites Infinies Par le Chevalier Newton. (Translated by G. Louis Le Clerc, ount de Buffon). - [THE CALCULUS - THE INFINITESIMAL METHOD]‎

‎Paris, De Bure, 1740. 4to. Contemporary half calf, raised bands, richly gilt spine and and red speckled edges. Leather title-label to spine. Corners neatly repaired. Title in red/black. (2), III-XXX, (2) Errata, 148 pp., many diagrams. The ""Preface"" and the first 18 leaves of the text with a foxing to lower margin and right corners. The ""Preface"" is an historical account of Newton's method ""la sublime méthode"", written by Buffon. Without the leaf ""Extrait des Registres"".‎

‎"OETTINGER, L.‎

‎Summenrechnung für einfache und zusammengesetzte Reihen, gegründet auf die Differenziale und Integrale der Functionen, wodurch die Reihen erzeugt werden.‎

‎Berlin, G. Reimer, 1836. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 16. band, Heft 2, 1836. Entire second heft offered. Fine and clean. Pp. 131-191. [Entire volume: Pp. 97-196 plates.].‎

‎"OETTINGER, L.‎

‎Von der Werthe der Erwartung, welcher mit dem Eintreffen eines künftigen, günstigen oder ungünstigen Ereignisse verbunden ist. Eine Abhandlung aus der Wahrscheinlichkeitsrechnung.‎

‎(München, 1837). 4to. Later blank wrappers. From ""Mathm.-phys. Abhandl. d. Akad. d. Wissensch. München"" pp. 246-270 and titlepage.‎

‎"OLIVIER, LOUIS.‎

‎Remarques sur les series infinies et leur convergence.‎

‎[Berlin, G. Reimer, 1827.] 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 2. Band, 1827"". Fine and clean. Pp. 31-100.‎

‎In 1827, L. Olivier [26] published a paper claiming that the harmonic series represents a kind of 'boundary' case with which other potentially convergent seriesof positive terms could be compared.‎

Bookseller reference : 47329

‎"OLMSTED, P. S. (+) J. W. TURKEY.‎

‎Testing Peripheral Association. A Corner Test for Association.‎

‎(Atlantic City, N. J., 1947). Large 4to. (278x214 mm / 10.94x8.43 inches). Offprint from Bell System Technical Journal, Vol. 18, pp.495-513, December, 1947. Original printed wrappers with holes punched in the back (as issued). Lower left corner with traces after having been bended. Lower 2 cm of spine loosened, otherwise fine and clean throughout. Pp. 19.‎

‎Scarce offprint issue of Olmstead and Tukey's important paper in which a new method for the association of two continuous variables are proposed. ""Its notable properties are: (1) Special weight is given to extreme values of the variables. (2) Computation is very easy. (3) The test is non-parametric."" (From the present paper). ""One of the most influential statisticians of the twentieth century, John Wilder Tukey (1915-2000) played a key role in both the development and study of statistics. Upon receiving his Ph.D. in mathematics in 1939 from Brown University, he joined the faculty at Princeton"" in 1945, he also began work at Bell Laboratories. Equally committed to both Princeton and Bell Labs, Tukey chose to work concurrently at both institutions. He was also a consultant for many companies, such as Merck and Company, Xerox Corporation, and the Educational Testing Service, and was a frequent advisor to the government for such programs as the US Census. From 1960 to 1980 he led the statistical component of NBC's election night projections. Among other projects Tukey analyzed Alfred Kinsey's research and examined data on ozone depletion. Tukey made many important contributions to the field of statistics, such as work in time series analysis, exploratory data analysis, and multiple comparisons. In early 1945, Tukey began working for Bell Labs, a lifelong association, as it would turn out. While at Bell Labs, Tukey worked with B. D. Holdbrook to develop the Nike missile system although the scant correspondence within this collection is rather routine and doesn't reflect their extensive contribution. Tukey also had a reputation for being discreet regarding his more sensitive projects."" (American Philosophical Society).‎

Bookseller reference : 47529

‎"ORE, ØYSTEIN.‎

‎Die Dedekindschen Sätze über den Zusammenhang Zwischen den Idealen und den Höheren Kongruenzen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 11, (1) pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on Dedekind Sets. Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

Bookseller reference : 52313

‎"ORE, ØYSTEIN.‎

‎Kriterien für Gleichungen mit Primitiven Gruppen.‎

‎Kristiania, Jacob Dybwad, 1924. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers with light miscolouring, otherwise fine. 16 pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the criteria for equations with primitive groups.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

Bookseller reference : 52314

‎"ORE, ØYSTEIN.‎

‎Über die Reduzibilität von Algebraischen Gleichungen.‎

‎Kristiania, Jacob Dybwad, 1923. Royal8vo. In the original printed wrappers with authors presentation inscription to top of front wrapper: ""Cand. real Lange-Nielsen / med hilsen / fra forf."". Wrappers detached from book-block, otherwise fine. 37, (1) pp.‎

‎First appearance - with the author's presentation inscription - of Ore's paper on the reducibility of algebraic equations.Ore, Norwegian mathematician, is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring. He then examined polynomial rings over skew fields, and attempted to extend his work on factorisation to non-commutative rings.‎

Bookseller reference : 52312

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Fine contemp. hcalf, gilt spine. A paperlabel pasted on lower part of spine. Stamps on titlepage.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). Scattered brownspots.‎

Bookseller reference : 39462

‎"OTTO, J.C.F.‎

‎Mathematische Theorie des Ricoschettschusses.‎

‎Berlin, Jonqs Verlagsbuchhandlung, 1833. Fine contemp. hcalf, gilt spine. A paperlabel pasted on lower part of spine. Stamps on titlepage.X,145,(1) pp. and 1 folded engraved plate. With ""Tafel"" I-IV (= pp.61-146). Scattered brownspots.‎

‎"OZANAM, (JACQUES).‎

‎L'Usage du Compas de Proportion, expliqué et demontré d'une maniere courte & facile, & augmenté d'un Traité de la division des Champs. Derniere édition, corrigée & augmentée.‎

‎Paris, Charles-Antoine Jombert, 1736. 8vo. Contemp. full vellum. 150,(2) pp. and 1 folded engraved plate, many textdiagrams. Leaves somewhat browned.‎

‎Ozanam's work on the proportional compas - first printed in 1688 - became very popular and successfull and it was lastly printed in 1794.""By almost any criterion Ozanam cannot be regarded as a first-rate mathematician, even of his own time. But he had a flair for writing and during his career wrote a number of books, some of which were very popular, passing through many editions.""(DSB).‎

Bookseller reference : 46755

‎"OZANAM, (JACQUES).‎

‎Recreations Mathematiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmetique, de Geometrie, d'Optique, de Gnomonique, de Cosmographie, de Mechanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elementaires. ... - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Jean Jombert, 1694. 8vo. 2 contemp. full calf. Raised bands. Richly gilt spines with gilt lettering. Light wear to spine top of spines. 2 very small nicks to lower compartment of volume 2. Small crack to one hinge on volume 2, but in no way loosening. (32),400""(16),303,(1) pp. + ""Horloges"" separately paginated (8),163,(5) pp. With in all 84 engraved plates, some with many figs. Internally clean and fine.‎

‎Scarce first edition and the first work of its kind, ""Recreational Mathematics"".Qzanam's ""contributions consisted of popular treatises and reference works on ""useful and practical mathematics,"" and an extremely popular work on mathematical recreations" the latter had by far the more lasting impact. Ozanam’s Récréations may be regarded as the forerunner of modern books on mathematical recreations. He drew heavily on the works of Bachet de Méziriac, Mydorge, Leurechon, and Daniel Schwenter" his own contributions were somewhat less significant, for he was not a particularly creative mathematician. The work was later augmented and revised by Montucla and, still later, was translated into English by Hutton (1803).""(DSB).‎

Bookseller reference : 46773

‎"OZANAM, JACQUES.‎

‎Recreations mathematiques et physiques, qui contiennent plusieurs problemes d'aritmetique, de geometrie, de musique, d'optique, de gnomonique, de cosmographie, de mecanique, de pyrotechnie, et de physique. Nouvelle edition. 4 vols. - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Charles Antoine Jombert, 1750 (Vol. 2: 1749). 8vo. Uniformly bound in four nice contemporary full spinkled calf binding with five raised bands and richly gilt spines. Small paper-label pasted on to top of spines. Edges of boards gilt. All edges coloured in red. Light wear to extemities, primarily affecting spine-ends. A nice and clean set. (16), 460, (20) pp. + 32 plates." (4), 462, (14) pp. + 49 plates (2), 482, (12) pp. + 31 plates. (8), 446, (6) pp. + 17 plates. (A total of 129 plates out of 136)‎

‎Beautiful later edition the first work of its kind" ""Recreational Mathematics"".Qzanam's ""contributions consisted of popular treatises and reference works on ""useful and practical mathematics,"" and an extremely popular work on mathematical recreations" the latter had by far the more lasting impact. Ozanam’s Récréations may be regarded as the forerunner of modern books on mathematical recreations. He drew heavily on the works of Bachet de Méziriac, Mydorge, Leurechon, and Daniel Schwenter" his own contributions were somewhat less significant, for he was not a particularly creative mathematician. The work was later augmented and revised by Montucla and, still later, was translated into English by Hutton (1803).""(DSB).‎

Bookseller reference : 60995

‎"PAINLEVÉ, PAUL.‎

‎Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme. - [PAINLEVÉ TRANSCENDENTALS]‎

‎Berlin, Stockholm, Paris, Beijer, 1902. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 25, 1902. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-86.[Entire volume: (4), 383 pp].‎

‎"PAINLEVÉ, PAUL. - INTRODUCING THE PAINLEVÉ TRANSCENDENTS.‎

‎Sur les équations differentielles du second ordre à points critiques fixes.‎

‎(Paris, Gauthier-Villars), 1906. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 143, No 26.. Pp. (1110-) 1208. (Entire issue offered). Painlevé's paper: pp. 1111-1117. Frayed in inner margins, poor paperquality.‎