LIVRE : Theory of Games and Economic Behavior. VON NEUMANN, John. & Oskar MORGENSTERN.

Theory of Games and Economic Behavior.

VON NEUMANN, John. & Oskar MORGENSTERN.

 

Détails bibliographiques

 

Titre : Theory of Games and Economic Behavior.

Éditeur : Princeton University Press, Princeton

Date d'édition : 1944

Edition : First edition, first printing

Description :

A very good copy, with the rare dust jacket, of Von Neumann and Morgenstern’s groundbreaking text that created the interdisciplinary research field of game theory. "Quantitative mathematical models for games as poker or bridge at one time appeared impossible, since games like these involve free choices by the players at each move, and each move reacts to moves of other players. However, in the 1920s John von Neumann single-handedly invented game theory, introducing the general mathematical concept of ‘strategy’ in a paper on games of chance [Zur Theorie der Gesellschaftsspiele, Math. Ann. 100, 1928]. This contained the proof of his ‘minimax’ theorem that says ‘a strategy exists that guarantees, for each player, a maximum payoff assuming that the adversary acts so as to minimize that payoff.’ The ‘minimax’ principle, a key component of the game-playing computer programs developed in the 1950s and 1960s by Samuel, Newell, Simon, and others, was more fully articulated and explored in ‘The Theory of Games and Economic Behavior’, co-authored by von Neumann and the Austrian economist Oskar Morgenstern. Game theory, which draws upon mathematical logic, set theory and functional analysis, attempts to describe in mathematical terms the decision-making strategies used in games and other competitive situations. Von Neumann revolutionized mathematical economics. Had he not suffered an early death from cancer in 1957, he most probably would have received the Noble Prize in economics. Several mathematical economists influenced by von Neumann’s ideas [as Nash, Harsanyi and Selten] later received the Nobel Prize in Economics". (Hook & Norman: Origins of Cyberspace, p.473).OOC 953 [lacking jacket]; Norman 2167. 8vo: 234 x 155 mm. Original cloth. Rubberstamp to front paste-down and free end-paper of previous owner dated 1947. Dust jacket with some tears and small pieces lost from upper and lower part of spine. xviii 625 [19] pp. Errata sheet loosely inserted, as issued. Clean and fresh throughout. A fine copy. N° de réf. du libraire 2681

 

En savoir plus

 

Commander

LIVRE : Mathematicae Collectiones. PAPPUS, of Alexandria.

 

Mathematicae Collectiones.

PAPPUS, of Alexandria.

Description :

Ed. by Federico Commandino. Numerous woodcut illus. & diagrams in the text. 4 p.l. (the last a blank), 334 (i.e., 332) pp. Folio, cont. limp vellum (title a bit soiled, last two leaves with some light dampstaining), ties gone. Pesaro: H. Concordia, 1588.First edition and a very fine and fresh copy of this uncommon book; this edition, providing the complete extant text, was the final work to be edited by Commandino and completes his life's work of reviving Renaissance mathematics by making available the best mathematical writings of antiquity. "In the silver age of Greek mathematics Pappus stands out as an accomplished and versatile geometer. His treatise known as the Synagoge or Collection is a chief, and sometimes the only, source for our knowledge of his predecessors' achievements. The Collection is in eight books, perhaps originally in twelve, of which the first and part of the second are missing. "Book VII is the most fascinating in the whole Collection, not merely by its intrinsic interest and by what it preserves of earlier writers but by its influence on modern mathematics."D.S.B., X, p. 293-95(and see pp. 294-98 for a full discussion of the contents). This concerns, in a passage on Apollonius' Conics, the attempt to conceive of the product of more than three straight lines as geometrical entities, known as "Pappus' Problem." Descartes devoted a major part of his own Géométrie to this, and solved it by the use of algebraic notation. "Pappus' problem thus inspired the new method of analytical geometry that has proved such a powerful tool in subsequent centuries. In his Principia (1687) Newton also found inspiration in Pappus; he proved in a purely geometrical manner that the locus with respect to four lines is a conic section, which may degenerate into a circle."D.S.B., X, p. 296. Topics discussed in the other books include astronomy and mechanics. A very fine copy preserved in a green morocco-backed box. Rose, The Italian Renaissance of Mathematics, p. 214"Within 25 years of Commandino's death the first step in founding the mechanics of the seventeenth century was to be taken by Galileo when, in criticising the inclined plane theorem of Pappus, the Tuscan mathematician adumbrated the notion of inertia. This step was not taken in an intellectual vacuum, but represents the culmination of the mathematical renaissance that had been achieved by the Restauratores."(& see the whole of Chap. 9 for Commandino and this book). Smith, History of Mathematics, I, pp. 136-37. N° de réf. du libraire JHABES399

Détails bibliographiques

 

Titre : Mathematicae Collectiones.

Reliure : Hard cover

Edition : 1st Edition

En savoir plus

Commander

LIVRE Cogitata Physico Mathematica. In quibus tam naturae quàm artis effectus admirandi certissimis demonstrationibus explicantur. MERSENNE, Marin.

Cogitata Physico Mathematica. In quibus tam naturae quàm artis effectus admirandi certissimis demonstrationibus explicantur.

MERSENNE, Marin.

 

Description :

Numerous woodcuts in the text. Five parts in one vol. Large thick 4to, cont. blind-stamped vellum, arabesque device in center of each cover. Paris: A. Bertier, 1644. [bound with]: --. Universae Geometriae, Mixtaeque Mathematicae Synopsis: et Bini Refractionum Demonstratarum Tractatus. 16 p.l., 589 pp. Large 4to. Paris: A. Bertier, 1644.First editions and very rare in such fine condition. These two works are important compendia of texts by Mersenne, including several of his most important works on mathematics, optics, physics, and music. The Universae Geometriae is considered to be a supplement to the Cogitata and they are oftentimes found bound together. "This collection comprises De Mensuris, Ponderibus & Nummis Hebraicis, Graecis & Romanis ad Gallica redactis, Hydraulica Pneumatica; arsque navigandi. Harmonia Theorica, Practica, et Mechanica phaenomena; F. Marini Mersenni Minimi Tractatus Mechanicus Theoricus et Practicus; his.Ballistica, et Acontismologia and Universae Geometriae, Mixtaeqve Mathematicae Synopsis, et Bini Refractionvm. "Mersenne's parallel discussions of light and vision run throughout the Cogita and the Universae geometriae. His close English connections are revealed by the inclusion in the optical section of Universae Geometriae of unpublished work by Walter Warner and a version of Hobbes' treatise on optics."Roberts & Trent, Bibliotheca Mechanica, p. 223. The preface to the Cogitata contains the first appearance of his famous statement about perfect numbers, known as "Mersenne's Numbers." The search for Mersenne numbers -- prime numbers -- that occur in decreasing frequency the higher they are is still ongoing, with huge computations utilizing the full capacity of the most advanced computers. Prime numbers, once regarded as numerological oddities, are now of crucial importance for encrypted electronic communication. See Ball, A Short Account of the History of Mathematics, pp. 306-07. "An exceedingly interesting collection.Mersenne was in constant correspondence with all the most celebrated men of his time, namely Galileo, Torricelli, Pascal, Descartes, Fermat, Roberval, &c. and in this collection has published, besides his own writings, most important works and letters of his eminent friends not to be found elsewhere, and including, not only their discoveries, but also their scientific quarrels.these volumes [are] highly important for the history of science."Libri sale catalogue, 1861. The Cogitata is illustrated with numerous woodcuts showing musical instruments, music, and geometrical diagrams. Fine copies, handsomely bound. With the armorial bookplate of John Stuart, third Earl of Bute (1713-92). Bute formed a magnificent scientific library (see D.N.B.). Book label of Harrison D. Horblit. Ex libris Bibliotheca Mechanica. Very occasionally another much slighter work by Mersenne -- his Novarum Observtionum Physico-Mathematicarum (1647) -- is bound-in following the Universae Geometriae. It is not present here. Mottelay, p. 122. N° de réf. du libraire JHABES315

Détails bibliographiques

 

Titre : Cogitata Physico Mathematica. In quibus tam ...

Reliure : Hard cover

Edition : 1st Edition

Pour commander

En savoir plus

Elementa Geometriae EUCLIDES.

Description :

[:in Greek]. Woodcut printer's device on title & verso of final leaf, first page of text with a woodcut decorative border, & numerous woodcut diagrams in the text. 6 p.l., 268; 115, [1] pp. Folio, 18th cent. mottled calf (upper blank margin of title -- 2.7 cm -- renewed & title carefully backed at an early date), double gilt fillet round sides, spine richly gilt, red morocco lettering piece on spine. Basel: J. Herwagen, 1533.Editio princeps in Greek of Euclid's Elements, one of the great books in the history of the exact sciences. This is also the first Euclid to have the diagrams inset in the text. The Greek text was edited by Simon Grynaeus, professor of Greek at Basel University. Grynaeus used two manuscripts -- one sent by Lazarus Bayfius from Venice and the other supplied by John Claymond, president of Magdalen and later of Corpus Christi College, Oxford. The Elements occupy 268 pages, followed by 115 pages containing the four books of the commentary of Proclus on the first book of the Elements. This commentary "is of considerable value for the study of ancient Greek geometry because of the historical information which it contains, derived from the lost works of Eudemos.and Geminos."Sarton, I, p. 403. Grynaeus dedicated this edition to Cuthbert Tunstall, Bishop of Durham and the author of the first English arithmetic. A fine crisp copy. Thomas-Stanford 7. N° de réf. du libraire JHABES958

Détails bibliographiques

 

Titre : Elementa Geometriae

Reliure : Hard cover

Edition : 1st Edition

En savoir plus

Commander

12 février 2013 de 15h45 à 17h00 Le génie mathématique, du théorème de quatre couleurs à la classification des groupes ENS Cachan Antenne Bretagne

Le génie mathématique, du théorème de quatre couleurs à la classification des groupes

le 12 février 2013
de 15h45 à 17h00

Conférence de Georges Gonthier (Microsoft Research, Cambridge). Départements de mathématiques et d'informatique (Ker Lann), Formation à la recherche.

Résumé: Il y a trente ans les ordinateurs faisaient irruption dans les mathématiques avec la célèbre preuve du théorème des quatre couleurs par Appel et Haken. Au départ limité au simple calcul, leur rôle s'élargit maintenant à des raisonnements dont la complexité dépasse les capacités de la plupart des humains, comme la preuve de la classification des groupes simples finis. Nous venons d'en formaliser la première étape importante, le théorème de Feit-Thompson, à l'aide d'un éventail de méthodes et techniques qui vont de la logique formelle au génie logiciel. 

Biographie: Georges Gonthier est chercheur au laboratoire de Cambridge de Microsoft Research, après avoir été à Inria et aux Bell Labs. Ses travaux vont des systèmes embarqués (langage Estérel, fusée Ariane) aux modèles de la concurrence et de la sécurité (Join-Calcul). Après avoir formalisé la preuve du théorème des quatre couleurs en 2005, il a créé l'équipe du laboratoire Microsoft Research - Inria qui vient de compléter la formalisation du théorème de Feit-Thompson. Il a reçu en 2011 le Grand Prix d'informatique de la Fondation EADS.

Note: Conférence organisée conjointement avec le département d'informatique. 

 

Type :

Séminaires - conférences

Lieu(x) :

Antenne de Bretagne
Amphithéâtre

Source : 

http://www.math.bretagne.ens-cachan.fr/version-francaise/conferences-et-seminaires/conferences-d-initiation-a-la-recherche/le-genie-mathematique-du-theoreme-de-quatre-couleurs-a-la-classification-des-groupes-173230.kjsp?RH=1197964208494

16 janvier 2013 : Controle en temps optimal pour des equations de type Schrodinger

Controle en temps optimal pour des equations de type Schrodinger

le 16 janvier 2013
14H - Groupe de travail "Applications des Mathématiques"

Séminaire de Jérôme Lohéac (Université Nancy 1) au groupe de travail "Applications des mathématiques"

Lien vers la page Web de l'orateur

Résumé : Dans cet exposé, nous donnerons une extension du principe du maximum de Pontryagin dans le cas de certains systèmes de dimension infinie.
La première partie de l'expose sera dédiée a l'extension du principe du maximum de Pontryagin et à la mise en evidence du caractère bang-bang et de l'unicité du contrôle en temps optimal. Pour cela, nous ferons une hypothèse supplémentaire de contrôlabilité approchée à partir d'un ensemble de mesure positive.
La deuxième partie de l'exposé concernera certains exemples d'applications de ces résultats.

 

Type :

Séminaires - conférences

Contact :

Thibaut Deheuvels et Gilles Vilmart
Envoyer un message

Lieu(x) :

Antenne de Bretagne
Bâtiment Sauvy, Salle 5 (rdc)

Source : 

http://www.math.bretagne.ens-cachan.fr/version-francaise/conferences-et-seminaires/groupe-de-travail-applications-des-mathematiques-/controle-en-temps-optimal-pour-des-equations-de-type-schrodinger-178294.kjsp?RH=1197964208494

15 janvier 2013 de 15h00 à 16h15 Le rôle des couches limites dans la circulation océanique à grande échelle ENS Antenne de Bretagne

Le rôle des couches limites dans la circulation océanique à grande échelle

le 15 janvier 2013
de 15h00 à 16h15

Conférence d'initiation à la recherche de Laure Saint-Raymond (Ecole Normale Supérieure, Paris)

Note: Laure Saint-Raymond donnera ensuite à 18h30 une conférence aux Champs Libres (Rennes). "Boltzmann : un précurseur pour la modélisation de la haute atmosphère".Détails. 

 

Type :

Séminaires - conférences

Lieu(x) :

Antenne de Bretagne
Amphithéâtre

ETATS DE LA RECHERCHE Géométrie Symplectique et de Contact Ecole Normale Sup

ETATS DE LA RECHERCHE 

Géométrie Symplectique et de Contact

Paris 7-8-9 janvier 2013

Amphi Rataud

Ecole normale supérieure

45 rue d'Ulm, 75005 Paris

Programme

Comment venir/How to get there: Ecole normale supérieure is located in Paris

Inscription obligatoire mais gratuite/Registration is mandatory, but free

Quelques financement sont disponibles pour les participants inscrits avant le 30 novembre/Funding available for participants registered before November 30

Comment s'inscrire/how to register voir/see ici/here

Liste d'Hôtels/List of Hotels

Horaires & informations/Schedule & informations

Renseignements/Informations: [e-mail]

Sir William Rowan Hamilton (1805-1865)

(Portrait of Hamilton from Enterprise Ireland Portrait Gallery, courtesy of Enterprise Ireland)

The Life and Works of Hamilton

• William Rowan Hamilton's Mathematical Papers
• William Rowan Hamilton: Some Nineteenth Century Perspectives
• Bibliographies

Hamilton's Mathematical Research

• Geometrical Optics
• Discovery of Conical Refraction
• Dynamics
• Quaternions
• Geometry
• `Algebraic Couples' (Complex Numbers)
• Theory of Equations
• Real Analysis and `Fluctuating Functions'
• Linear Operators and the `Cayley-Hamilton Theorem'
• The `Icosian Calculus'

Other Material relating to Hamilton

• Lectures delivered by William Rowan Hamilton
• The Correspondence of William Rowan Hamilton
• Other Resources relating to Hamilton

---

Back to:
The History of Mathematics

Source : 

http://www.maths.tcd.ie/pub/HistMath/People/Hamilton/

13/11/2012 TABLE-RONDE "QUEL AVENIR POUR LES FEMMES EN MATHÉMATIQUES "

13/11/2012

TABLE-RONDE "QUEL AVENIR POUR LES FEMMES EN MATHÉMATIQUES "

Réalisation : Quentin Lazzarotto / IHP-UPMC, Paris

Cette table ronde s’est déroulée le 13 novembre 2013 à l’IHP, à l’occasion du 25ème anniversaire de l’association femmes et mathématiques. Les intervenants sont Najat Vallaud-Belkacem, Ministre des Droits des femmes, Christine d’Argouges, déléguée régionale Ile de France du CNRS, Guy Métiver, directeur de l’INSMI, Cédric Villani, directeur de l’IHP. La table-ronde est animée par Laurence Broze, présidente de l’association femmes & mathématiques. La manifestation a eu lieu pendant le 12ème Forum des jeunes mathématicien-ne-s.

Source : 

http://www.ihp.fr/fr/ressources