‎Mathématiques‎

‎"VOLTERRA, VITO.‎

‎Lecons sur la Théorie mathematique de la Lutte pour la Vie. (Mathematical theory of the struggle for life) - [THE MATEMATIZATION OF BIOLOGY]‎

‎Paris, Gauthier-Villars, 1931. Royal 8vo. Uncut in orig. printed wrappers. Uppe and lower part of backstrip gone. VI,214 pp. + Publisher's cat. (7) pp.‎

‎First edition of this pioneering book on mathematical treatment of the dynamics of animal populations. ""The book mustbe considered as the most important contribution to the mathematization of biology made during the first half of the century, together with Lotka (1925). The origin of Volterra's direct intervention in the field of biomathematical research emerge clearly from his correspondance, manuscripts and direct testimony. In late 1925 D'Ancona showed him the results of a statistical survey of fish populations in the Upper Adriatic sea that pointed to a curious phenomenon. As a general rule, the percentage of predatory fish in the total fish catch in several ports in the Upper Adriatic remained constant, while it displayed an appreciable increase duringh the period 1915-18, that is, the years during which Italy was at war and the naval conflict in the Adriatic had led to an interruption of fishing activities. D'Ancona suggested that the lull in fishing activities was the cause of the increase in the number of predators, and he asked Volterra to provide a mathematical proof of this. Volterra threw himself into the question and came up with a description of the interaction between prey and predators beased on a simple mathematical model, which has since become famous and is known as the 'Lotka-Volterra equations'. (G. Israel in Landmarks Writings in Western Mathematics 1640-1940). - Vito Volterra (1860-1940) may be considered one of the greatest Italian mathematicians living between the 19th and the 20th centuries who also enjoied great international prestige. (G. Israel).‎

Referenz des Buchhändlers : 39199

‎"VOLTERRA, VITO.‎

‎Sur la stratification d'une masse fluide en équilibre.‎

‎Berlin, Stockholm, Paris, Beijer, 1903. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 27, pp. 105-124.‎

‎First printing of Volterra's paper on the distribution of pressure around spheres in a viscous fluid. ""Volterra’s scientific work covers the period from 1881, when he published his first papers, to 1940 when his last paper was published in the Acta of the Pontifical Academy of Sciences. His most important contributions were in higher analysis, mathematical physics, celestial mechanics, the mathematical theory of elasticity, and mathematical biometrics. His major works in these fields included the foundation of the theory of functionals and the solution of the type of integral equations with variable limits that now bear his name, methods of integrating hyperbolic parctical differential equations, the study of hereditary phenomena, optics of birefringent media, the motion of the earth’s poles and elastic dislocations of multiconnected bodies, and, in his last years, placing the laws of biological fluctuations on mathematical bases and establishing principles of a demographic dynamics that preset analogies to the dynamics of material systems."" (DSB).‎

Referenz des Buchhändlers : 45839

‎"VOLTERRA, VITO.‎

‎Sur les équations intégro-différentielles et leurs applications.‎

‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1912]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 35. Fine and clean. Pp. 295-356.‎

‎First printing.‎

Referenz des Buchhändlers : 45901

‎"VOLTERRA, VITO.‎

‎Drei Vorlesungen über neuere Fortschritte der mathematischen Physik. Gehalten im September 1909 an der Clark-University.‎

‎Leibzig & Berlin, B.G. Tebner, 1914. Royal8vo. Original printed wrappers. Spine strip with wear, otherwise fine. Offprint from ""Archiv der Mathematik und Physik"" pp. (5),98-181 pp. and 1 photographic plate.‎

‎"VOLTERRA, VITO.‎

‎Sur la stratification d'une masse fluide en équilibre.‎

‎Berlin, Stockholm, Paris, Beijer, 1903. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 27, pp. 105-124.‎

‎"VOLTERRA, VITO.‎

‎Sur les vibrations lumineuses dans les milieux biréfringents.‎

‎[Berlin, Stockholm, Paris, Beijer, 1892]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16, pp. 153-215.‎

‎"VOLTERRA, VITO.‎

‎Sur les équations intégro-différentielles et leurs applications.‎

‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1912]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 35. Fine and clean. Pp. 295-356.‎

‎"VON NEUMANN, JOHN. & HERMAN H. GOLDSTINE. - [PRESENTATION COPY].‎

‎Numerical Inverting of Matrices of High Order. Part 1-2 (All published). (In: Bulletin of the American Mathematical Society, volume 53, pp.1021-99 + Proceedings of the American Mathematical Society, volume 2, pp.188-202). - [FOUNDATION OF MODERN NUMERICAL ANALYSIS]‎

‎Menasha, Banta, 1947 & 1951. 8vo. Part 1: Entire November issue offered here (pp.1021-1140). Original printed wrappers. Small closed tear to front wrapper and three first pages. Inscribed by Goldstine on the title page: ""In recollections and remembrances of things past, Herman H. Goldstine, 4/15/20[00]"". Origins of cyberspace copy. Part 2: Entire April issue offered here (pp.175-334). Original printed wrappers.‎

‎"WESSEL, CASPAR. - THE FIRST SYSTEMATICAL THREATMENT OF COMPLEX NUMBERS.‎

‎Om Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. (Essai sur la représentation analytique de la direction, avec des applications, en particular à la détermination des polygones plans et d...‎

‎Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Uncut and unopened in original blue boards. Published in: ""Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter."" Vol. V. Wessel's paper: pp.469-518 and 3 folded engraved plates (the last plate inserted at p. 463). The whole volume V offered in its original binding. Engraved titlevignette. XII,670 pp., 15 engraved plates. 4 leaves with upper right corners gone, not affecting Wessel's paper.‎

‎First edition of this important first systematical treatment of the theory of complex numbers and at the same time, the first work to add vectors in three-dimensional space.""Wessel’s fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in publication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685"" Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand’s independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel’s work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. The title of Wessel’s treatise calls it an ""attempt"" to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel’s work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space."" (DSB).‎

Referenz des Buchhändlers : 58364

‎"WEIL, ANDRÉ. - ON COMPACT GROUPS.‎

‎Sur les fonctions elliptiques p-adiques. Presentée par Élie Cartan.‎

‎(Paris, Gauthier-Villars), 1936. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 203, No 1. Pp. (5-) 136 (entire issue offered). Weil's paper: pp. 22-24. Disbound and paper a bit fragile.‎

‎First printing of an importent paper on compact groups.""J. von Neumann an A. Weil, by different methods, obtained simultaneously the uniqueness in the case of of locally compact groups, A. Weil indicating at the same time how the procedure of Haar could be extended to general locally compact groups. It is also A. Weil (in the paper offered) who obtained the condition for the existence of a relatively invariant measure on a homogenous space, and showed finally that the existence of a ""measure"" (endowed with reasonable properties) on a separated topological group, implies ipse facto that the group is locally precompact.""(Bourbaki ""Elements of the istory of Mathematics"", p. 233).‎

Referenz des Buchhändlers : 49093

‎"WEIL, ANDRÉ. - WEIL'S UNIFORM SPACE INTRODUCED.‎

‎Sur les Espaces a Structure uniforme et sur la Topologie générale.‎

‎Paris, Hermann & Cie, Frontwrapper: 1937, Titlepage: 1938. Lex8vo. Uncut and unopened in orig. printed wrappers. Stamps on foot of titlepage. In the series ""Act. Sci. Industrielles 551, Paris, 1937"".‎

‎First edition of Weil's importent work on uniform topological spaces where he gives the first explicit definition of uniform structure""His most widely used innovation was in point set topology, namely the idea of uniform spaces. Such a space has no metric giving a distance between points, yet it makes sense to talk of different sequences ""converging at the same rate"" to different points. In particular there is a well-defined notion of uniform convergence of a series of functions from one uniform space to another."" (DSB).‎

Referenz des Buchhändlers : 49866

‎"WEIERSTRASS, KARL.‎

‎Über eine besondere Gattung von Minimalflecken.‎

‎Berlin, Königl. Akad. d. Wissenschaften, 1867. Orig. printed wrappers, uncut. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin"", August 1867, pp. 511-598. Weierstrass' paper: pp. 511-518.‎

‎First edition. Weierstrass is considered the most important German mathematician in the nineteenth-century after Gauss and Riemann.‎

Referenz des Buchhändlers : 39157

‎"WEYL, HERMANN.‎

‎Über die Konvergenz von Reihen, die nach Orthogonalfunktionen fortschreiten.‎

‎Leipzig, B.G. Teubner, 1909. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 67 Band. 2. Heft."" Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 225-45. [Entire issue: Pp. 145-280].‎

‎First printing of Weyl's paper on the convergence of series which continue as orthogonal functions. ""Very few of Weyl's 150 published books and papers-even those chiefly of an expository character-lack an original idea or afresh viewpoint. The influence of his works and of his teaching was considerable: he proved by his example that an ""abstract"" approach to mathematics is perfectly compatible with ""hard"" analysis and, in fact, can be one of the most powerful tools when properly applied."" (DSB)‎

Referenz des Buchhändlers : 44528

‎"WEYL, HERMANN.‎

‎Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. - [FIRST DESCRIPTION OF ESSENTIAL SPECTRUM]‎

‎Leipzig, B.G. Teubner, 1910. 8vo. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 68. Band"". Pp. 220-69.‎

‎First printing of Weyl's important paper in which he created the topic of essential spectrum.In mathematics, the essential spectrum is a certain subset of its spectrum, defined by a condition of the type that says, ""fails badly to be invertible"".‎

Referenz des Buchhändlers : 49486

‎"WEIERSTRASS, KARL & LEOPOLD KRONECKER.‎

‎Über die Flächen, deren mittlere Krümmung überall gleich Null ist"" (And Kronecker:) Über bilineare Formen.‎

‎Berlin, Königl. Akad. d. Wissenschaften, 1866. Uncut in orig. printed wrappers in ""Monatsbericht der Königlichen Preussischen Akademie der Wissenschaften zu Berlin"", Sept., October 1866. Pp. 595-655. Weierstrass' paper: pp.612-625. Kronecker's paper: pp. 597-612‎

‎"WEIERSTRASS, KARL.‎

‎Über eine besondere Gattung von Minimalflecken.‎

‎Berlin, Königl. Akad. d. Wissenschaften, 1867. Orig. printed wrappers, uncut. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin"", August 1867, pp. 511-598. Weierstrass' paper: pp. 511-518.‎

‎"WEIERSTRASS, KARL.‎

‎Über einen Functionentheoretischen Satz des Herrn G. Mittag-Leffler. (And same author:) Zur Funktionenlehre.‎

‎Berlin, Akaemie der Wissenschaften, 1880. Uncut in orig. printed wrappers. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin."", August 1880, pp. 719-43. Weierstrass' papers: pp. 707-717 and 719-43.‎

‎"WEIL, ANDRÉ. - WEIL PAIRING INTRODUCED.‎

‎Sur les fonctions algébriques à corps de constantes fini.‎

‎(Paris, Gauthier-Villars et Cie, 1940). 4to. Without wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 210, No 17. Pp. (589-) 616. (Entire issue offered). Stamp on front page. Weil's paper: pp. 592-594.‎

‎"WELCHMAN, GORDON W.‎

‎Introduction to Algebraic Geometry. - [CODE BREAKER AT BLETCHY PARK]‎

‎Cambridge, Cambridge University Press, 1950. 8vo. In the original full blue cloth with the original dust jacket. Dust jacket price-clipped and with minor wear. Otherwise a very fine and clean copy. X, 349 pp.‎

‎"WESSEL, CASPAR. - THE FIRST SYSTEMATICAL THREATMENT OF COMPLEX NUMBERS.‎

‎Om Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. (Essai sur la représentation analytique de la direction, avec des applications, en particular à la détermination des polygones plans et d...‎

‎Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Uncut and unopened in original blue boards. Published in: ""Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter."" Vol. V. Wessel's paper: pp.469-518 and 3 folded engraved plates (the last plate inserted at p. 463). The whole volume V offered in its original binding. Engraved titlevignette. XII,670 pp., 15 engraved plates. 4 leaves with upper right corners gone, not affecting Wessel's paper.‎

‎"WEYL, HERMANN.‎

‎Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. - [FIRST DESCRIPTION OF ESSENTIAL SPECTRUM]‎

‎Leipzig, B.G. Teubner, 1910. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 68. Band. 2. Heft.""Entire issue offered. Internally very fine and clean. [Weyl:] Pp. 220-69. [Entire issue: Pp. 145-304].‎

‎"WILSON, K. O.‎

‎Confinement of Quarks. - [WILSON LOOPS]‎

‎(New York), American Physical Society, 1974. Royal8vo. Bound with the original blue front wrapper in full red cloth with gilt lettering to spine. In ""Physical Review"" D, Vol. 10, October, 1974. Library stamps to front free end-papers and front wrapper. Otherwise very fine and clean. Pp. 2445-59. [Entire volume: Pp. 2051-2719].‎

‎First announcement of ""Wilson loops"", a crucial element of modern gauge theories that were introduced in an attempt at a nonperturbative formulation of quantum chromodynamics.‎

Referenz des Buchhändlers : 47049

‎"WIJNGAARDEN, A. VAN. [EDT.] (+) B. J. MAILLOUX (+) J. E. L. PECK (+) C. H. A. KOSTER‎

‎Report on the Algorithmic Language ALGOL 68. - [EARLY PUBLICATION ON THE ALGOL 68]‎

‎Berlin, Springer-Verlag, 1969. 8vo. In the original printed wrappers. Offprint from: ""Numerische Mathematik"", no. 14. Very fine and clean. Pp. 79-218.‎

‎Offprint of one of the very earliest reports on the computer programming language ALGOL 68. ""Attached will be first Report on the Algorithic Language ALGOL 68, submitted with a recommendation for publication under IFIP auspieces by Technical Comittee 2 in response to a request from Working Group 2.1."" (From the introduction to the present paper9.‎

Referenz des Buchhändlers : 50589

‎"WIEDEMANN, E. und F. HAUSER.‎

‎Uhr des Archimedes und zwei andere Vorrichtungen.‎

‎Halle, Max Niemeyer, 1918. Fol. Without wrappers as extracted from ""Nova Acta. Abhandlungen der Kaiserl. Leop.-Caro. Deutschen Akad. der Naturforscher"", Bd,. 103 :2. Pp 159-202, textillustr.‎

‎"WIENER, NORBERT.‎

‎Nonlinear Problems in Random Theory.‎

‎New York: The Technology Press of the Massachussetts Institute of Technology, John Wiley and Sons, Inc, 1958. 8vo. In the original green embossed full cloth with the original wrappers. Previous owner's stamp to front free end-paper. Wrappers with some wear, otherwise a very fine and clean copy. IX, (1), 131 pp.‎