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.
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).
København, 1893-1903. Indbundet i 2 ensartede samt. hldrbd. Rygge lidt falmet. (10),292VIII,612 pp. Enkelte blyantsindtregninger.
København, 1885. 4to. Uden omslag. 316,(4) pp. Tekstfigurer. Udkom i Videnskabernes Selskabs Skrifter, 6. Rk. nat.-math. Afd. III,1.
Gauthier-Villars, éditeurs à Paris Malicorne sur Sarthe, 72, Pays de la Loire, France 1902 Book condition, Etat : Bon broché, sous couverture imprimée éditeur verte grand In-8 1 vol. - 311 pages
31 figures dans le texte en noir 1ere traduction en français, 1902 Contents, Chapitres : Avant-propos de l'édition danoise (1893), de l'édition allemande (1895), de l'édition française (1901), xv, texte, 296 pages - 1. Introduction : Mathématiques préhistoriques - Egyptiens et babyloniens - 2. Les mathématiques grecques : Aperçu historique - Les mathématiques pythagoriciennes - L'arithmétique géométrique - Algèbre géométrique - Equations quadratiques numériques, extraction de la racine carrée - L'infini - La quadrature du cercle - Duplication du cube - Théorèmes et problèmes, sens et portée de la construction géométrique - Méthode analytique - Eléments, moyen auxiliaire d'analyse - Aperçu des Eléments d'Euclide, système synthétique - Hypothèses géométriques d'Euclide - Note sur les hypothèses de la géométrie - La théorie générale des proportions - Grandeurs commensurables et leur traitement numérique - Grandeurs incommensurables - Eléments de stéréométrie, polyèdres réguliers - Démonstration par exhaustion - Déterminations infinitésimales chez Archimède - Théorie de l'équilibre par Archimède - La théorie des sections coniques avant Apollonius - Les sections coniques d'Apollonius - Lieux et problèmes solides - Géométrie calculante - Géométrie sphérique - Décadence de la géométrie grecque - Arithmétique grecque plus récente : Diophante - 3. Les mathématiques indiennes : Aperçu rapide - Noms et signes des nombres, la numération avant les indiens et chez eux - Emplois du calcul numérique - Algèbre et théorie des nombres, géométrie - 4. Le Moyen Age : Introduction générale - L'arithmétique et l'algèbre des arabes - La triognométrie des arabes - Premier réveil des mathématiques en Europe infime petit manque au coin du plat supérieur (bande de 2 mm de haut sur 2 cms de large, sans gravité), bords des plats et dos à peine jaunis, infime petit manque à la coiffe supérieure, la couverture reste en très bon état, intérieur frais et propre, le papier n'est qu'à peine jauni, le coin supérieur gauche des premières pages est à peine corné, cela reste un bel exemplaire de la première traduction française de 1902
qui seront démontrées dans la salle de l'académie des arts sous les auspices de MM. les magistrats de la ville de Lille, par le Sr. Guy-Joseph Zevort, natif de Lille, élève de l'école de mathématiques, le samedi 17 octobre 1789, depuis 10 heures du matin jusqu'à douze. M. Saladin, médecin, correspondant de la Société Royale de Médecine, & professeur de la classe de mathématiques, présidera aux thèses.Lille, de l'imprimerie de MM. du magistrat, 1789. 11 pages.Broché. Cahier cousu. Mouillure sur le bas des pages. Format in-4° (25x20).
Academic Press Cartonné 1981 In-8 (15,8 x 23,4 cm), cartonné, 358 pages, texte en anglais ; dos de biais, ex-libris, par ailleurs très bon état. Livraison a domicile (La Poste) ou en Mondial Relay sur simple demande.
NATHAN. 1988. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 47 Pages. Nombreuses illustrations en couleur et en noir et blanc dans et hors texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Illustrations de Marie-Dominique Faccon Classification Dewey : 372.7-Livre scolaire : mathématiques
Berlin, Wilh. Ernst & Sohn 1899 xxxiv + 204pp., 25cm., editor's hardcover in grey cloth with gilt lettering, good condition, W89950
Springer Malicorne sur Sarthe, 72, Pays de la Loire, France 1997 Book condition, Etat : Bon broché, sous couverture illustrée grand In-8 1 vol. - 477 pages
1ere édition Contents, Chapitres : Variables, table, xvi, texte, 461 pages - Les incontournables - 1. Regard informatique, sous-ensemble du langage à connaître : Fonctions - Variables - Opérateurs, comparaison et logique - Structures de contrôle - 2. Regard mathématique, fonctionnalités : Graphiques - Calculs usuels - Manipulations algébriques, polynomes et fractions rationnelles - Trigonométrie - Dérivées - Développements limités et asymptotiques - Calculs de limites - Suites et séries - Calcul matriciel élémentaire - Systèmes d'équations - Intégration des fonctions - Systèmes différentiels - Outils vectoriels - Bibliographie et index la disquette allant avec le livre est jointe
Providence, American Mathematical Society 1986, 235x160mm, IX - 284pages, editor's binding. Book in good condition.
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.
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)
[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)
PAULIN HENRY ET CIE. NON DATE. In-12. Relié. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur acceptable. II + 464 pages augmentés de quelque figures en noir in texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Classification Dewey : 372.7-Livre scolaire : mathématiques
Gauthier-Villars & Cie. 1925. In-8. Broché. Etat d'usage, Plats abîmés, Dos fané, Intérieur acceptable. 788 pages. Etiquette de code sur le dos. Tampons et annotations de bibliothèque sur le 1er plat et en page de titre. Petit manque sur le coin supérieur du 1er plat. Pages légèrement jaunies. Nombreuses pages non coupées.. . . . Classification Dewey : 510-Mathématiques
2e édition revue. Avec une Préface de P. Appell. Géométrie et géométrie analytique. Algèbre, Théorie des fonctions, dérivées et applications... Classification Dewey : 510-Mathématiques
Paris, Gauthier-Villars, s.d. (ca 1915). 14 x 22, 788 pp., 235 figures, reliure pleine toile, bon état.
Préface de P. Appell.
P., Gauthier-Villars, 1911; . P., Gauthier-Villars, 1911; in 8, 6pp., 116pp., br. Edition originale
P., Gauthier-Villars, 1905; . P., Gauthier-Villars, 1905; in 4, 51pp., br., (dos renforcé, le deuxième plat de couv. a été remplacé récemment). Edition originale de la thèse de doctorat ès sciences mathématiques présentée, le 28 Janvier 1905, par L. Zoretti à la Faculté des sciences de Paris
Paris, Gauthier-Villars, 1911. Royal8vo. Uncut in orig. printed wrappers. Backstrip a little torn at top and bottom. VI,114,(4) pp.
First edition.
Couverture souple. Broché. 117 pages. 16, 5 x 25 cm.
Livre. Editions Gauthier-Villars, 1911.
Paris, Gauthier-Villars, 1911. grand in-8°, VI+117 pp, broche, couv.
Bon etat [BL-4] Extrait des Memoires de l'Académie Royale de Belgique (Classe des Sciences). Coll. in-8° T. XX, fasc. 3.
P., Gauthier-Villars, 1911, grand in 8° broché, VI-115 pages.
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DUNOD. 1992. In-4. Broché. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. 408 + 137 pages.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
PUF. 1966. In-8. Broché. Bon état, Tâchée, Dos frotté, Intérieur acceptable. 180 pages. Quelques illustrations en noir et blanc dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques
Traduit de l'anglais par G. Walusinski. Préface par H. Read. Classification Dewey : 372.7-Livre scolaire : mathématiques
Basel, Ludwig Königs, 1607. 4to. Sewn as issued in later blank wrappers. Engraved ornamental title showing 2 geometers with instruments, on verso large engraved coat of arms (Henry Prince of Wales). (8),65,(2) pp. With 20 large engravings in the text. Printed on good paper, fine and clean.
First edition, though a Latin translation appeared at the same time. Zubler was a prolific mathematician and instrument-maker in Zürich, and in this work he describes a triangulation instrument (depicted on a full-page engraving), invented by himself, and shows its use in different situations of practical surveying and military use in artistic settings. The triangulation instrument was able to provide measures for length, width, height and angles all at once, to be read on the scales on the baseline etc. The instrument has two arms and a baseline. By fixing the angle between the baseline and the pivoted arm, setting the sliding sight on the baseline arm to the scaled length of the baseline itself, and finally, from the second station, sighting across the two arms while moving the second sliding sight into alignment with the first sight and the target, the side of the triangle on the ground will be given with the position of the second sight, adjusted to the scale. The provision of a degree scale on a semicircular plate at the pivot permits other techniques involving angle measurements or setting the arms at right angles.Cockle: 947 (Latin ed.) - Poggendorff II:1420.