‎Mathématiques‎

‎"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. In plain white paper-wrappers with title-page of journal volume pasted on to front wrapper. In ""Transactions of the Cambridge Philosophical Society, vol. 12. Fine and clean. Pp. 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.‎

书商的参考编号 : 54753

‎"MACWILLIAMS, JESSIE.‎

‎Permutation Decoding of Systematic Codes. - [FIRST PUBLICATION OF PERMUTATION DECODING]‎

‎New York, American Telephone and Telegraph Company, 1964. 8vo. Volume XLIII (63), January, Number 1, part 2, 1964 of ""The Bell System Technical Journal"". In the original blue printed wrappers. Previous owner's stamps to front wrapper. A part from minor light spotting to front wrapper, a very nice and clean copy. Pp. 485-505. [Entire issue: Pp. 339-563].‎

‎First publication of MacWilliam's important paper on permutation decoding.""MacWilliams (1917-1990) was a mathematician who contributed to the field of coding theory. She was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year. She spent most of her career at Bell Labs, where she worked on error-correcting codes and co-wrote 'The Theory of Error-Correcting Code with Neil Sloane'."" (Codings: Webster's Quotations, 42 p.)The issue contains the following papers.1. Darlington, Sidney. Demodulation of Wideband, Low-Power FM Signals. Pp. 339-374.2. Froehlich, F.E." Anderson, R.R. Data Transmission over a Self-Contained Error Detection and Retransmission Channel. Pp. 375-398.3. Sunde, E.D. Intermodulation Distortion in Analog FM Troposcatter Systems. Pp. 399-435.4. Harris, S.E. DeGrasse, R.W. Schulz-Dubois, E.O. Cutoff Frequencies of the Dielectrically Loaded Comb Structure as Used in Traveling-Wave Masers. Pp. 437-484.5. MacWilliams, Jessie. Permutation Decoding of Systematic Codes. Pp. 485-505.6. Gordon, Eugene I. Optical Maser Oscillators and Noise. Pp. 507-539.7. Wood, Elizabeth A. The 80 Diperiodic Groups in Three Dimensions. Pp. 541-559.‎

书商的参考编号 : 43550

‎"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.‎

‎First appearance of Maupertuis's first mathematical paper, a solution to the problem maxima and minima.""His early paper represent the the possibilities opened up by the calculus. [The present paper] is as much an exploration of the power of the method to discover unexpected results as it is the solution to a specific problem. The problem is a simple one from plane geometry: to fine trapezoids of greatest and least area, given certain conditions for the length of the sides."" (Terrall, The Man Who Flattened the Earth: Maupertuis).‎

书商的参考编号 : 58915

‎"MACWILLIAMS, JESSIE.‎

‎A Theorem on the Distribution of Weights in a Systematic Code. - [MACWILLIAMS IDENTITIES]‎

‎New York, American Telephone and Telegraph Company, 1963. 8vo. Volume XLII, January, Number 1, 1963 of ""The Bell System Technical Journal"". In the original printed blue wrapper. Previous owner's stamp to front wrapper. Spine slightly discoulered and lower right corner slightly bumped. A nice and clean copy. Pp. 79-94. [Entire issue: 206 pp].‎

‎"MACWILLIAMS, JESSIE.‎

‎Permutation Decoding of Systematic Codes. - [FIRST PUBLICATION OF PERMUTATION DECODING]‎

‎New York, American Telephone and Telegraph Company, 1964. 8vo. Volume XLIII (63), January, Number 1, part 2, 1964 of ""The Bell System Technical Journal"". In the original blue printed wrappers. Previous owner's stamps to front wrapper. A part from minor light spotting to front wrapper, a very nice and clean copy. Pp. 485-505. [Entire issue: Pp. 339-563].‎

‎"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].‎

‎"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).‎

‎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 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.‎

‎"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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 47126

‎"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.]‎

‎"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.‎

书商的参考编号 : 47934

‎"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).‎

书商的参考编号 : 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.‎

书商的参考编号 : 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.‎

书商的参考编号 : 39165

‎"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).‎

书商的参考编号 : 41898

‎"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.‎

‎"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.].‎

‎"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.‎

‎"MINKOWSKI, HERMANN.‎

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

‎(Berlin, Stockholm, Paris, Almqvist & Wiksell, 1885. 4to. Without wrappers, but stitched, as extracted from""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", Vol.7, pp. 201-258.‎

‎"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.‎

‎"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.‎

书商的参考编号 : 30704

‎"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).‎

书商的参考编号 : 44972