‎Mathematics‎

‎"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.‎

Bookseller reference : 39158

‎"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"".‎

Bookseller reference : 44577

‎"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.‎

Bookseller reference : 58878

‎"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.‎

‎"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].‎

‎"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'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"".‎

‎"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.‎

‎"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. Without wrappers. Extracted from ""Mathematische Annalen. Begründet 1868 durch Alfred Clebsch und Carl Neumann. 68. Band"". Pp. 220-69.‎

‎"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.""‎

Bookseller reference : 36948

‎"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.‎

Bookseller reference : 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.‎

‎"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].‎

‎"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].‎

‎"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.‎

‎"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.‎

Bookseller reference : 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).‎

Bookseller reference : 47121

‎"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. With orig. printed wrappers (no backstrip) to 4. Heft, 59. Bd. of ""Mathematische Annalen"". The issue: pp. 449-572. Zermelo's paper: pp. 514-516.‎

‎"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).]‎

‎"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)‎

Bookseller reference : 49651

‎"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.‎

‎# 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.‎

Bookseller reference : 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 !‎

Bookseller reference : 47222