‎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).‎

書籍販売業者の参照番号 : 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).‎

書籍販売業者の参照番号 : 45839

‎"VOLTERRA, VITO.‎

‎Sur les Vibrations des Corpes élastiques isotropes.‎

‎(Berlin, Stockholm, Paris, Alqvist & Wiksell, 1894). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", vol. 18, pp. 161-232.‎

‎First edition. ""Vito Volterra (1860-1940), who succeeded Beltrami as professor of mathematical physics at Rome, is the first of the founders of a general theory of integral equations. He wrote papers on the subject from 1884 on and principal ones in 1896 and 1897."" (Morris Kline).‎

書籍販売業者の参照番号 : 39161

‎"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 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.‎

‎First printing of Volterra's paper on the vibrations of light in a birefringence media.‎

書籍販売業者の参照番号 : 49650

‎"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.‎

書籍販売業者の参照番号 : 45901

‎"VON NEUMANN, JOHN.‎

‎Die Einführung analytischer Parameter in topologischen Gruppen.‎

‎Princeton & Hamburg, 1933. Offprint from 'Annals of Mathematics' volume 34, pp. 170-190. Royal8vo. Original printed wrappers. Small tear to back wrapper. Corners a little bumped and frayed. Internally fine and clean. In all a good copy.‎

‎First edition offprint issue. ""One of the highlights of Von Neumann's career... solving Hilbert's fifth problem for compact groups."" (DSB).‎

書籍販売業者の参照番号 : 34733

‎"VOSSIUS, GERHARD (GERARDUS) JOHANN. - ""ARTES LIBERALES"" AND THE HISTORY OF MATHEMATICS.‎

‎Ars Historica. Sive de Historiae, & Historicis naturâ, Historiaeque scribendae praeceptis, Commentario. Ad Illustrissimum Virum, Joannem Berckium. (+) De Qvattuor Artibus popularibus, de Philologia, et Scientiis Mathematicis, Cui Operi sunjungitur, Ch...‎

‎Leiden, Joannis Maire, 1653 - Amsterdam, Ioannes Blaeu, 1650. 4to. One contemp. full vellum. Contemp. handwritten titles (weak) to spine. First title in red/black with large engraved titlevignette. (8),154,(1) pp. (Ars Historica 1653) - (16),94,(14) pp. (Grammatistice etc. 1650) - (8),83,(15) pp. (De Philologia, 1650) - (16),467,(33) pp. (De Universae Mathesios..., 1650). Fine and clean.‎

‎First edition of ""De Qvattuor Artibus..."" (which includes ""De Universae Mathesios"" with separate titlepage) and second edition of ""Ars Historica""The mathematical work: Poggendorff II, 1235. ""de Mathesios."": ""According to prof. Cantor, (it) is the first history of mathematics in its widest sense"". Honeyman Coll., 3081.‎

書籍販売業者の参照番号 : 49198

‎"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

‎Both papers first edition. Weierstrass is considered the most importen nineteenth-century german mathematician after Gauss and Riemann.‎

書籍販売業者の参照番号 : 39156

‎"WEIERSTRASS, KARL.‎

‎Abhandlungen aus der Functionenlehre.‎

‎Berlin, Julius Springer, 1886. Lex8vo. Contemp. hcalf. Spine gilt and with gilt lettering. (8),262 pp. A faint dampstain to inner lower corners on some leaves. The last 5 leaves a bit soiled.‎

‎First edition in book form of Weierstarss' s main papers in Function Theory. In this collected form the papers were slightly revised by the author. - Parkinson: Breakthroughs (He rigorously develops the theory of functions in ""Abhandlungen aus Functionentheorie"").‎

書籍販売業者の参照番号 : 41357

‎"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.‎

書籍販売業者の参照番号 : 39157

‎"WEIERSTRASS, KARL.‎

‎Über eine besondere Gattung von Minimalflächen.‎

‎Berlin, Harrwitz und Gossmann, 1867. 8vo. Uncut opened in the original printed wrappers. In ""Monatsbericht der Königlich Preussischen Akademie der Wissenschaften zu Berlin"", August 1867. Pp. 511-518. [Entire heft: Pp. 511-488].‎

‎First edition.‎

書籍販売業者の参照番号 : 58878

‎"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.‎

‎Both papers first edition. In ""Zur Funktionenlehre"" Weierstrass continues his polemic with Riemann's ideas. Here it is on the topic of the very concept of an analytic function, where Weierstrass placed power series as the starting point, in opposition to Riemann's idea.‎

書籍販売業者の参照番号 : 39158

‎"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).‎

書籍販売業者の参照番号 : 49093

‎"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.‎

‎First printing of Weil's importent paper in which he introduced the concept of Weil-pairing, giving a proof of the Riemann hypothesis for curves over finite fields.The Weil pairing is a pairing (bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in nth roots of unity. The Weil pairing is used in number theory and algebraic geometry, and has also been applied in elliptic curve cryptography and identity based encryption.""The Weil pairing, first introduced by André Weil in 1940, plays an important role in the theoretical study of the arithmetic of elliptic curves and Abelian varieties. It has also recently become extremely useful in cryptologic constructions related to those objects.""(Victor S. Miller).The Weil pairing is used in number theory and algebraic geometry, and has also been applied in elliptic curve cryptography and identity based encryption.‎

書籍販売業者の参照番号 : 49417

‎"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).‎

書籍販売業者の参照番号 : 49866

‎"WESSEL, CASPAR.‎

‎Om Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. - [THE FIRST SYSTEMATICAL THREATMENT OF COMPLEX NUMBERS]‎

‎Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Recently bound in a nice pastiche-binding of brown half calf with five raised bands and gilt red leather title-label to elaborately gilt spine. Vellum corners and marbled paper over boards. Published in: ""Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter."" Vol. V. A very nice copy. Pp.469-518 + 3 folded engraved plates.‎

‎"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 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].‎

‎"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].‎

‎"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].‎

‎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"".‎

書籍販売業者の参照番号 : 44577

‎"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.‎

‎Extrapolation, Interpolation, and Smoothing of Stationary Time Series. With Engineering Applications.‎

‎Published jointly by The Technology Press of the Massachusetts Institute of Technology and John Wiley & Sons, New York - Chapman & Hall, London, 1949. 8vo. Publishers full cloth. Provenance: Handwritten signature to front free end paper of statistician Anders Hald (author of ""A History of Mathematical Statistics""). A fine and clean copy. IX,(1),163,(1) pp.‎

‎"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.‎

‎First edition, with author's signature to title page, of this seminal work within modelling of physiological systems. The book is ""an examination of the role of nonlinear processes in physics, mathematics, electrical engineering, physiology and communications theory."" (OOC 1004).""Wiener's seminal ideas on systems and cybernetics have shaped the entire field of systems science and have inspired it tremendous in the last 50 years. [...] Furthermore, Wiener's specific mathematical ideas for modeling nonlinear dynamic systems in a stochastic context, presented in his seminal monograph [the present], have provided great impetus to our collective efforts for modeling physiological systems."" (Marmarelis, Nonlinear dynamic modeling of physiological systems. P. 142).See Origins of Cyberspace 1004.‎

書籍販売業者の参照番号 : 44426

‎"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.‎

書籍販売業者の参照番号 : 50589