‎Mathématiques‎

‎"MAHALANOBIS, P.C.‎

‎On Large-Scale Sample Surveys. (Offprint from: Philosophical Transactions of the Royal Society of London, Series B, Vol. 231, pp.329-451).‎

‎London, Cambridge University Press, 1944. Large 4to. Original printed wrappers. A fine copy. Owner's signature of statistician Anders Hald (the author of ""A History of Mathematical Statistics""). (123 pp.).‎

‎"MALMSTÉN, C. J.‎

‎De integralibus quibusdam definitis, seriebusque infinitis.‎

‎Berlin, G. Reimer, 1849. 4to. Contemporary binding with marbled paper over boards. In ""Journal für die reine und angewandte Mathematik"", 38. band, Heft 1-4, 1849. Entire 38. band offered. Fine and clean. Pp. 1-92. [Entire offered volume: IV, 372 pp. + 1 folded plate].‎

‎"MARKOFF, ANDRÉ.‎

‎Recherches sur un cas remarquable d’epreuves dependantes. [Translated from the Russian: Issledovanie zamechatel’nogo sluchaya zavisimyh ispytanij].‎

‎[Berlin, Stockholm, Paris, Beijer, 1910]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 33, pp. 87-104.‎

‎"MATEMATISK MANUSKRIPT - MATHEMATICAL MANUSCRIPT. (CHRISTIAN CRAMER).‎

‎Arithmetica Tyronica. Eller Den Gÿldne Regne Kunst Efter Christian Chramer Forfattede Regne Bog Paa Practique Maade Excercere.‎

‎(Ebbestofte ?), 1770-71. 4to. Bindet dateret 1770 i guldtryk på forperm ligesom ejers initialer i guldtryk O.C.v.H (Oluf Christian v. Hessen) på forperm. Helbind med spejl. og rygforgyldning. Spor efter lukkestroppe. Rygforgyldning. 177 blade (= 354 pp.) i smuk håndskrift, helt igennem er titler og kapiteloverskrifter kalligraferet i rødt og grønt.‎

‎"MAUPERTUIS, (PIERRE LOUIS MOREAU DE).‎

‎La Courbe descensus aequabilis dans un Milieu resistant comme une Puissange quelconque de la Vitesse.‎

‎(Paris, L'Imprimerie Royale, 1732). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1730"". Pp. 233-242.‎

‎"MAUPERTUIS, (PIERRE LOUIS MOREAU DE).‎

‎Sur une Question de Maximis et Minimis. - [MAUPERTUIS'S FIRST PAPER]‎

‎Paris, De l'Imprimerie Royale, 1728.. 4to. In a nice contemporary full mottled calf binding with five rasied bands and rchly gilt spines. Gilt borders on covers. In ""Histoire de L'Academie Royale des Sciences. Année M. DCCXXVI"", entire volume offered. Small tear to upper part of spine and ex-libris pasted on to pasted down front end-paper. A fine copy. Pp. 84-94. [entire volume: (8), 84, 341, (2) pp + 16 folded plates.‎

‎"MAUPERTUIS, (PIERRE LOUIS MOREAU DE). - LOXODROMIC NAVIGATION.‎

‎Traité de la Loxodromie tracee sur la veritable Surface de la Mer.‎

‎(Paris, L'Imprimerie Royale, 1748). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1744."". Pp. 462-774, textillustrations.‎

‎"MAUPERTUIS, PIERRE LOUIS MARIE de - FORMEY, JEAN HENRI S.‎

‎Eloge de Monsieur Maupertuis.‎

‎Berlin, Haude et Spener, 1766. 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Année 1759, tome XV. Titlepage to tome XV a. pp. 464-512. Titlepage with a stamp and engraved vignette.‎

‎"MAXWELL, JAMES CLARK.‎

‎On Boltzmann's Theorem on the Average Distribution of Energy in a System of material points.‎

‎London, Taylor and Francis, 1879. 4to. Extracted and rebound in recent green plain wrappers. In ""Transactions of the Cambridge Philosophical Society, vol. 12"" Title-page of vol. 12 withbound. A fine copy. Pp. (2), 547-570.‎

‎First appearance of Maxwell's paper on Boltzmann's theorem on the average distribution of motion, in which he showed that when a material system has arrived at that steady distribution of motion among its parts which corresponds in real bodies to thermal equilibrium, the energy of the internal motion for any portion of the system is proportional to the number of degrees of freedom of that portion.‎

Référence libraire : 54406

‎"MAXWELL, JAMES CLARK.‎

‎On Boltzmann's Theorem on the Average Distribution of Energy in a System of material points.‎

‎London, Taylor and Francis, 1879. 4to. Extracted and rebound in recent green plain wrappers. In ""Transactions of the Cambridge Philosophical Society, vol. 12"" Title-page of vol. 12 withbound. A fine copy. Pp. (2), 547-570.‎

‎"MEALY, GEORGE H.‎

‎A Method for Synthesizing Sequential Circuits. - [FIRST PUBLICATION OF THE MEALY MACHINE]‎

‎New York, American Telephone and Telegraph Company, 1955. 8vo. Original full green cloth. Volume XXXIV, 1955 of ""The Bell System Technical Journal"". Library stamp to front free end-paper and title page. Minor bumping to extremities. A nice and clean copy. Pp. 1045-1079. [Entire volume: 13, (3), 1330 pp.].‎

‎First publication of the highly influential Mealy machine: a finite-state machine whose output values are determined both by its current state and by the values of its inputs. Mealy machines are useful to describe how an output is associated with the transition. A full-adder changes state to reflect the carry-in and outputs the sum as the transition takes place. Vending machines can be set up as Mealy machines.Other papers of interest contained in the present volume: 1. Uhlir, A., The Potentials of Infinite Systems of Sources and Numerical Solutions of Problems in Semiconductors Engineering. Pp. 105-1282. Hohn, Franz E." Schissler, L. Robert. Boolean Matrices and the Design of Combinational Relay Switching Circuits. Pp. 177-202.3. Herring, Conyers. Transport Properties of a Many-Valley Semiconductor. Pp. 237-290. 4. Brewer, S.T. Hecht, G.. A Telephone Switching Network and Its Electronic Controls. Pp. 361-402. 5. Doba, Stephen Jr. Kolding, A. Robert. A New Local Video Transmission System. Pp. 677-712. 6. Fox, A.G. Wave Coupling by Warped Normal Modes. Pp. 823-852. 7. Louisell, W.H.. Analysis of the Single Tapered Mode Coupler. Pp. 853-870. 8. Lee, C.Y. Analysis of Switching Networks. Pp. 1287-1315.And many other.‎

Référence libraire : 43021

‎"MEHLER, G. F. (+) NEUMANN, CARL.‎

‎Ueber eine mit den Kugel- und Cylinderfunctionen verwandte Function und ihre Anwendung in der Theorie der Elektricitätsvertheilung (Mehler) (+) Ueber die Mehler'schen Kegelfunctionen und deren Anwendung auf elektrostatische Probleme (Neumann). - [CONICAL FUNCTION]‎

‎Leipzig, B. G. Teubner, 1881. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 18., 1881. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Very fine and clean. Pp. 195-236 . [Entire volume: Pp. IV, 608.]‎

‎First printing of these two important papers in the history of Conical function. The functions were introduced by Mehler and expanded by Neumann.‎

Référence libraire : 47126

‎"MENGER, KARL.‎

‎Grundzüge einer Theorie der Kurven.‎

‎(Berlin, Julius Springer, 1926). 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 95. Band"". Pp. 278-306.‎

‎First printing. ""In the present paper Karl Menger proves that if M is a bounded continuum containing no domain then a necessary and sufficient. Condition that M be a continuous curve [regular curve] is that, for each positive number e, M is the sum of a finite number of continua all of diameter less than e, such that the common part of any two of these continua is vacuous or totally disconnected [finite]."" (Roberts. Concerning Non-Dense Plane Continua).‎

Référence libraire : 44774

‎"MICHEL, PAUL-HENRI.‎

‎De Pythagore a Euclide. Contribution à l'histoire des Mathématiques préeuclidiennes.‎

‎Paris, Société D'Édition ""Les Belles Lettres"", 1950. Royal8vo. Uncut and unopened in orig. printed wrappers. Stamp to foot of titlepage. 699 pp., textfigs. Fine and clean.‎

Référence libraire : 47934

‎"MINDING. [ERNST FERDINAND ADOLF].‎

‎Ueber die Bestimmung des Grades einer durch Elimination hervorgehen den Gleichung.‎

‎Berlin, G. Reimer, 1841. 4to. In ""Journal für die reine und angewandte Mathematik, 22. Band, 2 Heft, 1841"". In the original printed wrappers, without backstrip. Fine and clean. [Minding:] Pp. 178-83. [Entire volume: Pp. 97-192, (2)].‎

‎First printing of Minding's important paper in which he presents his theorem representing the first (implicit) appearance of the BKK bound and some of its extensions in the amthematical literature. ""Minding's most important discoveries were in the dilierential geometry of surfaces"" in these works he brilliantly continued the researches of Gauss, which had been published in 1828. In his first paper (1830), which dealt with the isoperimetric problem of determining on a given surface the shortest closed curve surrounding a given area (on the plane it is the circumference of a circle), he introduced the concept of geodesic curvature. It was independently discovered in 1848 by O. Bonnet, and it was he who named it geodesic curvature. Minding soon proved, as did Bonnet after him, the invariance of the geodesic curvature under bending of the surface. Neither of them knew that the same results had been presented in an earlier, unpublished paper of Gauss's (1825)."" (DSB).‎

Référence libraire : 48042

‎"MINDING. [ERNST FERDINAND ADOLF].‎

‎Ueber die Biegung gewisser Flächen.‎

‎Berlin, G. Reimer, 1838. 4to. In ""Journal für die reine und angewandte Mathematik, 18. Band, 4 Heft, 1838"". In the original printed wrappers, without backstrip. Fine and clean. [Minding:] Pp. 297-302. [Entire issue: Pp. 281-376, (2) + 1 folded plate.].‎

‎First printing of Minding's first work on the deformation of general ruled surfaces into ruled surfaces and showed that any ruled surface can be developed on another whose direction vectors form a circular cone. This was subject in which he was to make his most important discoveries. ""Minding's most important discoveries were in the dilierential geometry of surfaces"" in these works he brilliantly continued the researches of Gauss, which had been published in 1828. In his first paper (1830), which dealt with the isoperimetric problem of determining on a given surface the shortest closed curve surrounding a given area (on the plane it is the circumference of a circle), he introduced the concept of geodesic curvature. It was independently discovered in 1848 by O. Bonnet, and it was he who named it geodesic curvature. Minding soon proved, as did Bonnet after him, the invariance of the geodesic curvature under bending of the surface. Neither of them knew that the same results had been presented in an earlier, unpublished paper of Gauss's (1825)."" (DSB).‎

Référence libraire : 45099

‎"MINKOWSKI, H. (HERMANN). - THE UNIFICATION OF SPACE AND TIME (PMM 401).‎

‎Raum und Zeit. (Space and Time). Vortrag von der 80. Naturforscherversammlung zu Köln.‎

‎Leipzig, S. Hirzel, (1909). 4to. Bound with orig. printed wrappers in fine later hmorocco. (Bound by Anker Kyster Eftf. 1968). Titlelabel in leather with gilt lettering on frontcover. Offprint (Sonderabdruck) from ""Physikalische Zeitschrift"", 10. Jahrgang. No. 3. Seite 104-111, here paginated as offprint pp. 1-8 and with textfigs. Clean and fine.‎

‎First edition - in the scarce offprint-issue - of this milestone paper where Minkowski was the first to conceive that the relativity principle formulated by Lorentz and Einstein led to the abandonment of the concept of space and time as separate entities and to their replacement by a fourdimensional ""space-time"", THE SPACE-TIME CONTINUUM. In the opening passage Minkowski declared: ""Henceforth, space by itself, and time by itself, are doomed to fadeaway in the shadows, and only a kind of union of the two will preserve an independent reality.""The work was simultaneously published in ""Jahresberichte der Deutschen Mathematiker-Vereinigung"". Leipzig 1909, in ""Verhandlungen der Gesellschaft Deutscher Naturforscher und Ärzte"". Leipzig, 1909 (a shorter version) and as here.The paper was read 20th of September 1908 at a Conference in Cologne only a few months before his death. Here ""he introduced the notion that made possible the expansion of the Relativity Theory of Einstein from its specific to its general form. The technical description of Minkowski's hypothesis is the four-dimensional Space-time continuum.... Minkowski's space-time hypothesis was in effect a restatement of Einstein's basic principle in a form that greatly enchanced its plausability and also introduced importent new developments. Hitherto natural phenomena had been thought to occur in a space of three dimensions and to flow uniformly through time. Minkowski maintained that the separation of space and time is a false conception"" thet time is itself a dimension, comparable to lenght, breadth and height: and that therefore the true conception of reality was constituted by a space-time continuum possessing these four dimensions. This strongly reinforced Einstein's objections to absolute concepts and supported his view of the relativity of events in nature."" (PMM No. 401).‎

Référence libraire : 52692

‎"MINKOWSKI, HERMANN.‎

‎Ueber die Annährung an eine reelle Grösse durch rationale Zahlen.‎

‎Leipzig, B.G. Teubner, 1901. 8vo. No wrappers. In: ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. 54. Band. 1. Heft."" Entire issue offered with titlepage to vol. 54. IV,124 pp. Minkowski's paper: pp. 91-124.‎

‎First printing of one of Minkowski's importent papers on the geometrical theory of numbers.""Minkowski was always interested in mathematical physics but did not work in that field until the last years of his life, when he participated in the movement of ideas that led to the theory of relativity. He was the first to conceive that the relativity principle formulated by Lorentz and Einstein led to the abandonment of the concept of space and time as separate entities and to their replacement by a fourdimensional “space-time,” of which he gave a precise definition and initiated the mathematical study"" it became the frame of all later developments of the theory and led Einstein to his bolder conception of generalized relativity.""(DSB).Also with PAUL STÄCKEL ""Friedrich Ludwig Wachter, ein Beitrag zur Geschichte der nichteuklidischen Geometrie"", pp. 40-90.‎

Référence libraire : 47458

‎"MINKOWSKI, HERMANN.‎

‎Untersuchungen über Quadratische Formen. I. Bestimmung der Anzahl verschiedener Formern, welche in gegebenes Genus Enthalt (all issued). - [MINKOWSKI'S INAUGURAL- DISSERTATION]‎

‎Berlin, Uppsala u.Stockholm, Paris, 1885). 4to. No wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", vol. 7, pp.201-258.‎

‎First edition of Minkowski's Inaugural-Dissertation in the periodical form.""Minkowski received his doctorate in 1885 at Königsberg" he taught at Bonn undtil 1894, then returned to Königsberg for two years. In 1896 he went to Zürich.where he was Hurwitz' collegue until 1902" Hilbert then obtained the creation of a new professorship for him at Göttingen, where Minkowski taught until his death. From his Grand Prix paper (1883) to hisd last work Minkowski never ceased to return to the arithmetic of quadratic forms in n ariables (""n-ary Forms""), Ever since Gauss' pioneering work on binary quadratic forms at the beginning of the nineteenth century, the generalization of his results to n-ary had been the goal of many mathematicians, including, Eisenstein, Hermite, Smith, Jordan, and Poincaré.""(DSB). - An error in this paper was found and corrected by C.L. Siegel in 1935.‎

Référence libraire : 39165

‎"MINKOWSKI, HERMANN.‎

‎Untersuchungen über Quadratische Formen. I. Bestimmung der Anzahl verschiedener Formern, welche in gegebenes Genus Enthalt (all issued). - [MINKOWSKI'S INAUGURAL- DISSERTATION]‎

‎Berlin, Uppsala u.Stockholm, Paris, 1885). 4to. No wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", vol. 7, pp.201-258.‎

‎"MINKOWSKI, HERMANN. - DOCTORIAL THESIS‎

‎Untersuchungen über quadratische Formen. I. Bestimmung der Anzahl verschiedener Formen, welche ein gegebenes Genus enthält.‎

‎(Stockholm, F.& G. Beier), 1885. 4to. Orig. printed wrappers (to Acta Math. 7:3). Extracted from ""Acta Mathematica"", Vol. 7. Pp. . Clean and fine.‎

‎First printing of Minkowski's doctorial dissertation, which he received from Königsberg.""From his Grand Prix paper (on five squares integers) to his last work Minkowski never ceased to return to the arithmetic of quadratic forms in n variables (""n-ary forms""). Ever since Gauss' pioneering work on binary quadratic forms at the beginning of the nineteenth century, the generalization of his results to n-ary forms had been the goal of many mathematicians including Eisenstein, Hermite, Smith, Jordan, and Poincaré. Minkowski' most importent contributions to the theory were for quadratic forms with rational coefficients, through a system of three invariants of the form and (in a later paper) a paper from 1905.""(DSB).‎

Référence libraire : 41898

‎"MINKOWSKI, HERMANN. - THE MINKOWSKI PROBLEM.‎

‎Volumen und Oberfläche.‎

‎Leipzig, B.G. Teubner, 1903. Orig. printed wrappers. No backstrip. In: ""Mathematische Annalen begründet durch Georg Clebsch und Carl Neumann"", 57. Bd., 4. Heft. The whole issue offered (=4.heft). Pp. 425-572. Minkowski's paper: pp. 447-495.‎

‎First appearance of the formulation of the Minkowski Problem.The Minkowski problem deals with existence, uniqueness, regularity, and stability of closed convex hypersurfaces whose Gauss curvature (as a function of the outer normals) is preassigned. Major contributions to this problem were made by Minkowski in the offered paper.‎

Référence libraire : 41974

‎"MISES, RICHARD VON.‎

‎Notes on the mathematical theory of probability and statistics.‎

‎Harvard, Cambridge, 1946. 4to. Loose-leaf mimeographed typescript, in brown cardboard boards with printed titel-label to front bard. Fine and clean, (4), 27, 23, 27, 23, 40, 20, 37, 32, 40, 30, 3, (8) ff.‎

‎First edition of Von Mises two works which contains ""the essential materials presented to students of mathematics in a two-semester course on probability and statistics""(f. [ii]). The first half of the work is devoted to probability theory" the second to mathematical statistics.‎

Référence libraire : 59460

‎"MOIVRE, A. de.‎

‎Abhandlung über Leibrenten. Nach der dritten Auflage von 1756 ins deutsche übertragen und mit Anmerkungen versehen von Emanuel Czuber.‎

‎Wien, Franz Deuticke, 1906. Cont. hcloth. VIII,88 pp. Small stamp on title. (Sonderheft der ""Versicherungswissenschaftlichen Mitteilungen"").‎

‎First German edition of Moivre's famous work ""Evaluation of Annuities on Lives"" (first published 1723), but this translation is from the most elaborate version of ""Annuities"" which appeared together with the third edition of the authors ""The Doctine of Changes"" from 1756. The work is considered as the foundation of life-insurance mathematics.‎

Référence libraire : 30704

‎"MONGE, (GASPARD). - FOUNDING DESCRIPTIVE GEOMETRY.‎

‎Mémoire sur les Développées, les Rayons de Courbure, et les Différens Genres D'Inflexions des Courbes a double Courbure‎

‎(Paris, Moutard, 1785). 4to. Extracted from ""Mémoires fe Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Tome X. Pp. 511-550 a. 2 folded engraved plates. Clean and fine.‎