‎Mathématiques‎

‎"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. - 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.‎

‎"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.‎

‎"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"".‎

‎"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.‎

‎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.‎

‎First edition of this seminal publication in which Wessel presents the first systematical treatment of the theory of complex numbers and furthermore being 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).‎

Riferimento per il libraio : 60128

‎"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).‎

Riferimento per il libraio : 58364

‎"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)‎

Riferimento per il libraio : 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.‎

‎"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"".‎

Riferimento per il libraio : 49486

‎"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.‎

Riferimento per il libraio : 39171

‎"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.‎

‎First edition of this classic in modern communication theory. The work was circulated as a classified memorandum in 1942, as it was connected with sensitive war-time efforts to improve radar communication. Combining ideas from statistics and time-series analysis, Wiener used Gauss's method of shaping the characteristic of a detector to allow for the maximal recognition of signals in the presence of noise. This method came to be known as the ""Wiener filter.""‎

Riferimento per il libraio : 36948

‎"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.‎

Riferimento per il libraio : 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.‎

Riferimento per il libraio : 50589

‎"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.‎

Riferimento per il libraio : 47049

‎"WYNER, A. D.‎

‎The Wire-Tap Channel. - [PERFECT SECRECY - FIRST DESCRIPTION OF THE WIRE-TAP CHANNEL.]‎

‎New York, American Telephone and Telegraph Company, 1975. 8vo. Original full green cloth, bound with the original blue wrappers. Volume 54, 1975 of ""The Bell System Technical Journal"". Library stamp to pasted down front free end-paper. Minor bumping to extremities. Beside a very few pencil marks a nice and clean copy. Pp. 1355-1387. [Entire issue: Pp. 1179-1796 + 4 wrappers].‎

‎First edition of Wyner's highly influential paper on the wire-tap channel. In the paper, Wyner shows how one could obtain ""perfect secrecy"" when a receiver enjoys a better channel than does the wire-tapping opponent.""Aaron's interest in cryptography led him to invent the wire-tap channel.'' In his 1975 BSTJ paper introducing this channel, he worked out virtually its complete theory, showing the then-surprising fact that one could obtain perfect secrecy without the advance exchange of secret keys provided that the legitimate receiver enjoys a better channel from the sender than does the wire-tapping opponent. This work, which preceded the introduction of public-key cryptography, has had a steadily increasing influence on developments in this field. Recent results by Maurer and by Csiszar and Korner showing the remarkable usefulness of common randomness'' in cryptography are direct consequences of Wyner's work."" (From the ITSOC obituary).Aaron D. Wyner is also known for his contributions in coding theory, particularly the Gaussian channel and cryptography.‎

Riferimento per il libraio : 43029

‎"YULE, G. UDNY.‎

‎On the Association of Attributes in Statistics: with Illustrations from the Material of the Childhood Society, &c. (Offprint from: Philosophical Transactions of the Royal Society of London. Series A, Vol. 194, pp.257-319).‎

‎London, The Royal Society, 1900. Large 4to. Original printed wrappers. Some fraying to extremeties. Back wrapper loose. Vertical folding mark.‎

‎First edition, offprint issue of this important paper. ""Yule's studies of the correlation of continuous variables led him, in 1900 [offered paper], to study measures of association for discrete variables, in particular the cross-ration c ('odds ration') in 2 x 2 contingency table and its transform Q=(1-c)/(1+c), now known as 'Yule's coefficient'. This led to an altercation with Pearson in which Pearson's capacity for acrimonious and illdirected criticism was displayed, in marked contrast to Yule's gentler mode of expression. Even Fisher, who as a young man had felt the sharpness of Pearson's pen, was later moved to remark 'Pearson' attacked Yule's work at one time much more violently than ever he did mine'."" - Heyde: Statisticians of the Centuries, p.293.‎

Riferimento per il libraio : 35749

‎"ZELLER, CHR..‎

‎Kalender-Formeln. - [ZELLER'S CONGRUENCE]‎

‎Berlin, Stockholm, Paris, Beijer, 1886. 4to. With the original wrappers in ""Acta Mathematica, 9:2. Band]. No backstrip. Fine and clean. Pp. 131-36. [Entire issue: Pp. 105-184].‎

‎First printing of Zeller's paper important paper in which Zeller's congruence is presented It is an algorithm to calculate the day of the week for any Julian or Gregorian calendar date.‎

Riferimento per il libraio : 45904

‎"ZERMELO, ERNST FRIEDRICH FERDINAND.‎

‎Beweis, dass jede Menge wohlgeordnet werden kann. (Aus einem an Herrn Hilbert gerichteten Briefe). - [INTRODUCING BOTH ""THE AXIOM OF CHOICE"" AND ""THE WELL-ORDERING THEOREM""]‎

‎Leipzig, B.G. Teubner, 1904. 8vo. Bound in half cloth with five raised bands and gilt lettering to spine. In ""Mathematische Annalen. Begründet 1868 durch von A. Clebsch und C. Neumann. 59. Band."" Small bar-code pasted on to top left corner of front wrapper. Two library labels pasted on to pasted down front free end-paper and a small stamp to verso of title page. Pp. 514-16.‎

‎"ZERMELO, ERNST FRIEDRICH FERDINAND.‎

‎Beweis, dass jede Menge wohlgeordnet werden kann. (Aus einem an Herrn Hilbert gerichteten Briefe). - [INTRODUCING BOTH ""THE AXIOM OF CHOICE"" AND ""THE WELL-ORDERING THEOREM""]‎

‎Leipzig, B.G. Teubner, 1904. 8vo. Bound in half cloth with five raised bands and gilt lettering to spine. In ""Mathematische Annalen. Begründet 1868 durch von A. Clebsch und C. Neumann. 59. Band."" Small bar-code pasted on to top left corner of front wrapper. Two library labels pasted on to pasted down front free end-paper and a small stamp to verso of title page. Pp. 514-16.‎

‎First appearence of this fundamental paper in metamathematics and mathematical logic in which he introduced both ""The Axiom of Choice"" and ""his sensational proof of the well-ordering theorem"" (DSB). By this paper Zermelo contributed decisively to the development of set-theory. Zermelo took up the problem, left over by Cantor, of what to do about the comparison of sets that are not well-ordered. ""In 1904 (the paper offered) he proved....that every set can be well-ordered. To make the proof he had to use what is now known as the axiom of choice (Zermelo's axiom), which states that given any collection of nonempty, disjoined sets, it is possible to choose one member from each set and so make up a new set. The axiom of choce, the well-ordering theorem, and the fact that any two sets may be compared as to size, are equivalent principles.""(Morris Kline). A controversy arose around ""The axiom of Choice"", from Bertrand Russell, Tarski, Frege, Hilbert, Brouwer and others, mainly, and of course importent, over how to interpret the words ""choose"" and ""exists"".The issue also contain the following papers of interest:David Hilbert. Über das dirichletsche prinzip. Pp. 161-186.Lie, Sophus. Drei Kapitel aus dem unvollendeten zweiten Bande der Geometrie der Berührungstransformationen. Pp. 193-313.Schoenflies, A. Beitrage zur Theorie der Punktmengen II, Pp. 129-160.‎

Riferimento per il libraio : 44952

‎"ZERMELO, ERNST FRIEDRICH FERDINAND.‎

‎Neuer Beweis für die Möglichkeit einer Wohlordnung (+) Untersuchungen übe die Grundlagen der Mengenlehre I. - [THE BASIS OF MODERN SET-THEORY]‎

‎Leipzig, B.G. Teubner, 1908. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 65., 1908. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of verso of title page. Very fine and clean. Pp. 107-128"" Pp. 261-181. [Entire volume: Pp. IV, 575, (1).]‎

‎First publication of these landmark paper's which ""has proved of tremendous importance for the development of mathematics"", (DSB) as they constitute the first formulation of the axiomatization of ""Set-theory"".In the first paper offered here (1907/1908) he gave a new proof of the well-ordering theorem (the first in his paper from 1904) as a reply to the attacks on his 1904-paper and he shows then that a limited number of specific principles, including a version of choice, is sufficient to deduce the well-ordering theorem. The two papers here offered, are closely connected, and in the second paper he formulated the FIRST AXIOMATIZATION OF SET-THEORY, avoiding the known antinomies, and thus was to become the basis of moder set.theory.The axioms here set up for Cantor's theory of sets, in all 7 axioms, was to ""save the theory from paradoxes. regarding this theory (Russel's theory of types), still as the most fundamental part of mathematics, he suggests that it should be rebuild by the laying down of principles which are sufficient to support the generally accepted doctrine but so chosen that they do not give rise to contradictions. He admits that he cannot prove the consistency of his axioms, but he claims that he has at least excluded antinomies discovered in recent years. The essential feature of his method is that he no longer talks of sets with the freedom of Cantor, but admits in his theory only those sets whose existence is guranteed by his axioms."" (W. a. M. Kneale in ""The Development of Logic).""The historian Gregory Moore has argued that it was not the discovery of the paradoxes, nor Russell's proposals (in his 1906) of three ways to avoid them, that impelled Zermelo to axiomatize set theory, but rather his determination to secure the acceptance of his well-ordering theorem. In support of that contention he points out that Zermelo had independently discovered ""Russell's"" paradox himself but had not found it troubling enough to publish, and he remarks that in his paper (i.e. the first paper offered) Zermelo employed the paradoxes ""merely as a club with which to bludgeon (his) critics"" (Moore 1982, pp. 158-159).‎

Riferimento per il libraio : 47121

‎"ZORAWSKI, KASIMIR.‎

‎Über biegungsinvarianten eine anwendung der Lie'schen gruppentheorie.‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1892-93. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16. Including the title page. Fine and clean. (6), 64 Pp.‎

‎"ZORAWSKI, KASIMIR.‎

‎Über biegungsinvarianten eine anwendung der Lie'schen gruppentheorie.‎

‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1892-93.] 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16, With half title and title page of volume 16, including the frontiespiece. Pp. 153-215.‎

‎First printing of Zorawski's important paper which is one of the very first responses to Sophus Lie's group theory. ""One of the first mathematicians who reacted to Lie's newly introduced concept was Kasimir Zorawaski, a polish scientist who worked in Warsaw. As examples of differential invariants, Zorawski mentioned Gauss curvature, Beltrami operators, and Minding's geodesic curvature. Similar to Lie, he asked for the number of invariants of different orders. From then on, two concepts played a major role within the theory of differential calculus, initiated by Ricci, and the group concept that was introduced by Lie and improved by Zorawski."" (Earman, The Attraction of gravitation: new studies in the history of general relativity, P. 229)‎

Riferimento per il libraio : 49651

‎# AUTEUR: Deshayes (Henrion)‎

‎# TITRE: L'usage du compas de proportion. De D. Henrion, mathématitien‎

‎# AUTEUR: Deshayes (Henrion) # ÉDITEUR: Auteur et R.J.B. de la Caille Paris # ANNÉE ÉDITION: 1681 # COUVERTURE: relié plein veau # DÉTAILS: In 8° relié 13ff (dont le frontispice gravé (De La Marqueterie), épistre, privilège et préface)+ planche dépliante + 290pp.+ 5ff. (table). Reliure XVIIème d'époque plein veau, dos à 4 nerfs titre et décor dorés. Etat d'usage, manque à la coiffe sup., coiffe inf. absente et mors endommagé, taches en marge de la table. # PHOTOS visibles sur www.latourinfernal.com‎

‎Nouvellement revû, corrigé, augmenté en toutes ses parties de plusieurs propositions nouvelles utiles par le sieur DESHAYES, professeur es mathématiques. Dédié à monsieur Colbert d'Ormoy, conseilléz du roy en ses conseils, sur-intendant des bastiments de sa majesté, ordonnateur général des arts manufactres de France. 1Ère édition augmentée par Jean Deshayes (1650-1706), célèbre hydrographe du roi, en nouvelle France, qui entreprit le 1er à faire le relevé hydrographique détaillé du fleuve Saint-Laurent en 1685.‎

Riferimento per il libraio : 3046

‎(BAILLIF)‎

‎Les casse-tête logiques de Baillif‎

‎Dunod 1979, in-8 cartonnage illustré de l'éditeur, 150 p. (très bon exemplaire ; non réédité) Un passionné de mathématiques, ancien polytechnicien, propose ici de nombreux problèmes… avec les solutions !‎

Riferimento per il libraio : 47222