Création d'un portail mathématique pour l'industrie italienne

La naissance d'un "Portail Mathématique pour l'Industrie Italienne" a été annoncée à la fin du mois de juin lors du congrès biennale de la Société Italienne de Mathématique Appliquée et Industrielle (SIMAI) à Turin. Son objectif est de faire connaitre au monde de l'entreprise l'offre mathématique potentiellement utile au monde industriel. Ci-dessous est reporté un entretien de Roberto Natalini, directeur...

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Enquête internationale sur la mathématique et les sciences

Enquête internationale sur la mathématique et les sciences

« Le Québec a de quoi être fier de ses élèves! » - Josée Bouchard

LBR.ca - QUÉBEC, le 11 décembre 2012 - La Fédération des commissions scolaires du Québec (FCSQ) est très heureuse de souligner la réussite des élèves québécois à l'enquête internationale sur la mathématique et les sciences (TEIMS) dont les résultats ont été dévoilés aujourd'hui.

C'est en mathématique de 2^e secondaire que les élèves du Québec se sont le plus illustrés avec d'excellents résultats. La performance mérite d'être soulignée puisque les élèves ont non seulement amélioré leurs résultats par rapport aux enquêtes précédentes (2003 et 2007), mais ils se sont classés les premiers au Canada et ont obtenu des résultats nettement supérieurs à la...

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http://www.lbr.ca/index.php?pageID=5&idA=19809

NIELS HENRIK ABEL MEMORIAL Publie A L'Occasion Du Centenaire De Sa Naissance. HOLST, Elling STORMER, Carl & SYLOW, L. [Editors]

NIELS HENRIK ABEL MEMORIAL Publie A L'Occasion Du Centenaire De Sa Naissance.

HOLST, Elling STORMER, Carl & SYLOW, L. [Editors]

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Titre : NIELS HENRIK ABEL MEMORIAL Publie A ...

Éditeur : Jacob Dybwad [&] Gauthier-Villars [&] B.G. Teubner [&] Williams & Norgate, 1902.

Date d'édition : 1902

Reliure : Hardcover

Edition : 1st Edition

Description :

1st edn. 4to. Rebound in recent gilt lettered blue buckram cloth (Fine). Pp. variously paginated (new endpapers with original printed card covers bound in; no inscriptions), illus with b&w plates and folding facsimile sheets. N° de réf. du libraire 22502

 

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Niels Henrik ABEL LIVRE 1881 Oeuvres complètes. Nouvelle edition publiee aux frais de l'Etat Norvegien par MM. L. Sylow et S. Lie. Tome premier + Tome second., 2 Volumes (so complete), Abel, Niels Henrik.

 

Oeuvres complètes. Nouvelle edition publiee aux frais de l'Etat Norvegien par MM. L. Sylow et S. Lie. Tome premier + Tome second., 2 Volumes (so complete),

Abel, Niels Henrik.

 

 

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Titre : Oeuvres complètes. Nouvelle edition publiee ...

Éditeur : Grondahl & Son, Christiana

Date d'édition : 1881

Reliure : Hardcover

 

Description :

VIII, 621 S.; 1 Bl., 338 S., 2 Bl., Originalausgabe! Original (French) Edition from 1881! Rückentitel in Deutsch: "Abels Werke I, II". Lexikon bedeutender Mathematiker, S. 9. Abel, Niels Henrik (1802-1829) lieferte grundlegende Arbeiten zur Auflösungstheorie algebraischer Gleichungen, über elliptische Funktionen und zur Reihenlehre, starb als 27jähriger vor Antritt einer Anstellung als PD an der Berliner Universität an Tuberkulose. Sprache: fr Gewicht in Gramm: 3320 4°, marmoriertes Halbleinen mit Rückentitel, Bibliotheks-Exemplar (ordnungsgemäß entwidmet) mit kleinem Rückenschild, Stempel auf Vortitel, Kanten leicht berieben, insgesamt sehr gutes und innen sauberes Exemplar, N° de réf. du libraire 62366

 

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Grigori Perelman face à la conjecture de Poincaré (French Edition) (ISBN 10: 2100508687 / ISBN 13: 9782100508686 ) O'Shea, Donal

Grigori Perelman face à la conjecture de Poincaré (French Edition)

(ISBN 10: 2100508687 / ISBN 13: 9782100508686 )

O'Shea, Donal

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Titre : Grigori Perelman face à la conjecture de ...

Éditeur : DUNOD

Date d'édition : 2007

Reliure : PAPERBACK

Etat du livre : New

Description :

2100508687 Thematic: Scientifiques et techniques. Language: French. Format: Poche. Ed: DUNOD (06/13/2007) Weight: 502g. / 1.11lbs Great Customer Service! Shipped by courier tracking. N° de réf. du libraire 9782100508686

 

Jules Henri POINCARE Thèses présentées a la Faculté des sciences de Paris pour obtenir le grade de docteur des sciences mathématiques. 1re These. Sur les propriétés des fonctions définies par les équations aux différences partielles. 2e These

 

Thèses présentées a la Faculté des sciences de Paris pour obtenir le grade de docteur des sciences mathématiques. 1re These. Sur les propriétés des fonctions définies par les équations aux différences partielles. 2e These. Propositions données par la Faculté. Soutenues le 1er aout 1879, devant la commission d'examen.

POINCARÉ, Jules Henri.

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Titre : Thèses présentées a la Faculté des sciences ...

Éditeur : Gauthier-Villars, Paris

Date d'édition : 1879

Edition : First edition

Description :

A fine copy, with the original printed wrappers, of Poincaré's thesis for his doctorate in science from the University of Paris. "Poincaré's doctoral thesis [was] on differential equations (not on methods of solution, but on existence theorems), which led to one of his most celebrated contributions to mathematics-the properties of automorphic functions" (Boyer & Merzbach, History of Mathematics, p. 675). "The theory of differential equations and its applications to dynamics was clearly at the center of Poincaré’s mathematical thought; from his first (1878) to his last (1912) paper, he attacked the theory from all possible angles and very seldom let a year pass without publishing a paper on the subject" (DSB XI: 56)."Poincaré's thesis, which was examined by Bouquet, Bonnet and Darboux, concerned the study of integrals of first-order partial differential equations in the neighbourhood of a singular point. It was his second paper of the theory of differential equations and, as Hadamard remarked, it contained a strong pointer towards his future success with the topic and its applications to celestial mechanics: ‘Even Poincaré 's thesis contained a remarkable result which was destined later to provide him with a powerful tool in his researches in celestial mechanics.’ "Looked at in the context of the theory of differential equations already in existence at the time, Poincaré's thesis was the natural convergence of two streams of thought. On the one hand, Cauchy, and later Kovalevskaya, had applied Cauchy’s method of majorants to obtain results about the solutions of partial differential equations in the neighbourhood of an ordinary point, while on the other, Briot and Bouquet. and later Fuchs, using similar methods, had studied the solutions of ordinary differential equations in the neighbourhood of a singular point. Poincare followed both Cauchy, by considering the solutions of partial differential equations, and Briot and Bouquet, by considering these solutions in the neighbourhood of a singular point" (June Barrow-Green, Poincaré and the three-body problem, Vol. 2, p. 44). "The development of mathematics in the nineteenth century began under the shadow of a giant, Carl Friedrich Gauss; it ended with the domination by a genius of similar magnitude, Henri Poincaré. Both were universal mathematicians in the supreme sense, and both made important contributions to astronomy and mathematical physics. Poincaré remains the most important figure in the theory of differential equations and the mathematician who after Newton did the most remarkable work in celestial mechanics" (DSB XI: 52). Large 4to (262 x 210 mm), pp [iv] 93 [3], bound in a fine recent half cloth binding over marbled boards, gilt morocco title label to spine, original brown printed wrappers with bound (small hole to the front wrapper, paper flaw?), a fine copy copy. N° de réf. du libraire 2928

 

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Henri POINCARÉ LIVRE de 1890 Sur le problème des trois corps et les équations de la dynamique. (In: Acta Mathematica, vol. 13)

Sur le problème des trois corps et les équations de la dynamique. (In: Acta Mathematica, vol. 13)

POINCARÉ, Henri

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Titre : Sur le problème des trois corps et les ...

Éditeur : F.&G. Beijer, Stockholm

Date d'édition : 1890

Reliure : Couverture rigide

Etat du livre : Très bon

Edition : Edition originale

Description :

Demi reliure à coins en basane de l'époque, dos lisse portant le titre doré. Un volume in quarto (26,4x21,3 cm) de xii / 270-(2) / 174 / (2) pages Reliure légèrement frottée. Marge de la page 155 fendillée Les 174 dernières pages sont occupées par le mémoire primé d'Appell «Sur les Intégrales Fonctions de multiplicateurs et une demande au Développement". Première et seule édition de ce traité fondamental de Poincaré. Henri Poincaré est le dernier mathématicien universel. Il a crée une branche importante des mathématiques (la topologie). De part ses travaux, précédent le mémoire d'Einstien, certains le considèrent comme le père de la relativité restreinte. Le "problème des trois corps" est le traité fondateur de la théorie du chaos. Dans ce mémoire, Poincaré tente de répondre au problème posé par le roi Oscar II de Suède et de Norvège. Il s'agissait de décrire le système formé par N corps célestes dont les mouvements sont régis par la loi de l'attraction universelle. Cela aurait permis de savoir si le système solaire est stable ou non. Ce problème est d'une grande compléxité, et Poincaré n'y répond que partiellement : il traite le cas d'un système à trois corps. Il y développe de nouveaux outils (section de Poincaré), démontre la stabilité d'un système à trois corps avec l'un de masse nulle (correspond en gros à un système soleil, terre, lune) et y découvre un système extrèmement sensible aux conditions initiales : une variation minime dans la position initiale de la trajectoire peut modifier radicalement son comportement à long terme. C'est la découverte des phénomènes chaotiques dans les systèmes dynamiques. 1152 g. N° de réf. du libraire 538

 

Poincare, Henri Leçons de mécanique céleste professées a la Sorbonne [Tome I, Tome II, Tome III] (Lessons of Celestial Mechanics)

Leçons de mécanique céleste professées a la Sorbonne [Tome I, Tome II, Tome III] (Lessons of Celestial Mechanics)

Poincare, Henri

 

Description :

Paris: Gauthier-Villars, 1905-1910. First Edition. 3 volumes in 4, vi, 365, [3]; [4], 165, [3]; [4], 136, [2], + 2 ad.; [4], 472. Illustrated with text figures and two folding world maps in Vol. III. 10x6½, original grey printed wrappers. First edition of a work fundamental to celestial mechanics. Poincaré was one of the greatest mathematical minds of the 19th century; his work on the "three-body problem" (the gravitational interplay of three masses) leads some to credit him as a co-discoverer of the special theory of relativity, along with Einstein and Lorentz. The present is one of two of Poincaré's major works on the subject. With the inkstamp of Paul Berg. Scarce, no copies appear in ABPC for the past 20 years. Some light wear and staining/darkening to spines, back wrapper of Vol. III chipped at edges, minor splitting at joints, but overall very good or better with clean pages partially unopened. Another one of those sets you just have to hold in your hands and stare at sometimes. L1516. N° de réf. du libraire 000234

 

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Gotlob FREGE Grundgesetze der Arithmetik. Begriffsschriftlich abgeleitet, I-II [all published].

 

Grundgesetze der Arithmetik. Begriffsschriftlich abgeleitet, I-II [all published].

FREGE, Gotlob.

 

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Titre : Grundgesetze der Arithmetik. ...

Éditeur : Hermann Pohle 1893-1903, Jena

Date d'édition : 1893

Edition : First edition

Description :

A fine copy of Frege’s magnum opus, from the library of American philosopher Paul Weiss. "The climax of Frege's career as a philospher should have been the publication of the two volumes of ‘Die Grundgesetze der Arithmetik’ (1893-1903), in which he set out to present in formal manner the logicist construction of arithmetic on the basis of pure logic and set theory. This work was to execute the task which had been sketched in the earlier books on the philosophy of mathematics: it was to enunciate a set of axioms which would be recognizably truths of logic, to propound a set of undoubtedly sound rules of inference, and then to present, one by one, derivations by these rules from these axioms of standard truths of arithmetic. The magnificent project aborted before it was ever completed. The first volume was published in 1893; the second volume did not appear until 1903 and while it was in the press Frege received a letter from Russell pointing out that the fifth of the initial axioms made the whole system inconsistent. This was the axiom which, in Frege's words, allowed 'the transition from a concept to its extension', the transition which was essential if it was to be established that numbers were logical objects. Frege’s system, with this axiom, permitted the formation of the class of all classes that are not members of themselves. But the formation of such a class, Russell pointed out, leads to paradox: if it is a member of itself then it is not a member of itself; if it is not a member of itself, then it is a member of itself. A system which leads to such paradox cannot be logically sound. With good reason, Frege was utterly downcast by this discovery, though he strove to patch his system by weakening the guilty axiom. We now know that his logicist programme cannot ever be successfully carried out. The path from the axioms of logic to the theorems of arithmetic is barred at two points. First, as Russell's paradox showed, the naive set theory which was part of Frege’s logical basis was inconsistent in itself, and the remedies which Frege proposed for this proved ineffective. Thus, the axioms of arithmetic cannot be derived from purely logical axioms in the way he hoped. Secondly, the notion of 'axioms of arithmetic' was itself latter called in question when Gödel showed that it was impossible to give arithmetic a complete and consistent axiomatization. None the less, the concepts and insights developed by Frege in the course of expounding his logicist thesis have a permanent interest which is unimpaired by the defeat of that programme at the hands of Russel and Gödel". (The Oxford Companion to Philosophy). Provenance: with the signature of Paul Weiss to the front free end paper. The American philosopher Paul Weiss (1901-2002) who taught at Bryn Mawr and Yale, co-edited (with Charles Hartshorne) the first six volumes of The Collected Papers of Charles Sanders Peirce (Harvard University Press, 1931-1935), and in 1947 founded the Metaphysical Society of America and its academic journal, Review of Metaphysics, serving as the journal’s editor until 1964. Two volumes. Large 8vo: 246 x 163 mm. The two volumes bound together in early twentieth century dark blue cloth with paper spine label, a fine and clean copy. XXXII, 253, (1); (2:blank),xv, (1), 265, (1) pp. N° de réf. du libraire 2309

 

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Ergebnisse eines mathematischen Kolloquiums, unter Mitwirkung von Kurt Gödel und Georg Nöbeling. Herausgegeben von Karl Menger. Heft 1-7 GÖDEL, Kurt

 

Ergebnisse eines mathematischen Kolloquiums, unter Mitwirkung von Kurt Gödel und Georg Nöbeling. Herausgegeben von Karl Menger. Heft 1-7

GÖDEL, Kurt.

 

Description :

An absolutely mint set, in the original wrappers, of these rare proceedings to which Gödel contributed fifteen important papers and remarks on the foundations of logic and mathematics. "By invitation, in October 1929 Gödel began attending Menger’s mathematics colloquium, which was modeled on the Vienna Circle. There in May 1930 he presented his dissertation results, which he had discussed with Alfred Tarski three months earlier, during the latter’s visit to Vienna. From 1932 to 1936 he published numerous short articles in the proceedings of that colloquium (including his only collaborative work) and was coeditor of seven of its volumes. Gödel attended the colloquium quite regularly and participated actively in many discussions, confining his comments to brief remarks that were always stated with the greatest precision." (D.S.B. XVII: 350). The papers are: (1) Ein Spezialfall des Entscheidungsproblems der theoretischen Logik, vol. 2, pp. 27-28; (2) Über Vollständigkeit und Widerspruchsfreiheit, vol. 3, pp. 12-13; (3) Eine Eigenschaft der Realisierungen des Aussagenkalküls, vol. 3, pp. 20-21; (4) Untitled remark following W. T. Parry Ein Axiomensystem für eine neue Art von Implikation (analytische Implikation), vol. 4, p. 6; (5) Über Unabhängigkeitsbeweise im Aussagenkalkül, vol. 4, pp. 9-10; (6) Über die metrische Einbettbarkeit der Quadrupel des R3 in Kugelflächen, vol. 4, pp. 16-17; (7) Über die Waldsche Axiomatik des Zwischenbegriffes, vol. 4), pp. 17-18; (8) Zur Axiomatik der elementargeometrischen Verknüpfungsrelationen, vol. 4, p. 34; (9) Zur intuitionistischen Arithmetik und Zahlentheorie, vol. 4, pp. 34-38; (10) Eine Interpretation des intuitionistischen Aussagenkalküls, vol. 4, pp. 39-40; (11) Reprint of Zum intuitionistischen Aussagenkalkül [Anzeiger der Akademie der Wissenschaften in Wien, vol. 69,1932, pp. 65-66], vol. 4, p. 40; (12) Bemerkung über projektive Abbildungen, vol. 5, p. 1; (13) Diskussion über koordinatenlose Differentialgeometrie (with K. Menger and A. Wald), vol. 5, pp. 25-26; (14) Über die Produktionsgleichungen der ökonomischen Wertlehre, vol. 7, p. 6; (15) Über die Länge von Beweisen, vol. 7, pp. 23-24. John Dawson in his Annotated Bibliography of Gödel has the following summaries of these papers: (1) This undated contribution was not presented to a regular meeting of the colloquium, but appeared among the Gesammelte Mitteilungen for 1929/30. In the context of the first-order predicate calculus without equality, Gödel describes an effective procedure for deciding whether or not a formula with prenex form (3x1.xn)(y1y2)(3z1.zn)A(xi,yi,zi) is satisfiable; the procedure is related to the method used in [his dissertation Die Vollstandigkeit der Axiome des logischen Funktionenkalküls] to establish the completeness theorem; (2) Closely related to [Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, 1931], [this paper] notes extensions of the incompleteness theorems to a wider class of formal systems. The system considered in [his 1931 paper] is based on Principia Mathematica and allows variables of all finite types. Here Gödel observes that any finitely-axiomatizable, omega-consistent formal system S with just substitution and implication (modus ponens) as rules of inference will possess undecidable propositions whenever S extends the theory Z of first-order Peano arithmetic plus the schema of definition by recursion; and indeed, that the same is true of infinite axiomatizations so long as the class of Gödel numbers of axioms, together with the relation of immediate consequence under the rules of inference, is definable and decidable in Z; (3) In answer to a question of Menger, Gödel shows that given an arbitrary realization of the axioms of the propositional calculus in a structure with operations interpreting the connectives ~ and ?, the elements of the structure can always be partitioned into two disjoint classes behaving exactly like the classes of true and false pro. N° de réf. du libraire 2713

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