LIVRE : Opuscula analytica. EULER, Leonhard

Opuscula analytica.

EULER, Leonhard;

Description :

2 volumes in-4 de 2 ff.n.ch., 363 pp.ch. pour le tome I ; 2 ff.n.ch., 346 pp.ch. et 2 planches gravées sur cuivre pour le tome II ; cartonnage bradel recouvert de papier marbré rose, étiquettes imprimées aux dos, non rogné, en partie non coupé (reliure moderne). Sotheran, Suppl. II, 1464 : "Rare". Édition originale de l'un des recueils les moins communs d'Euler. Il rassemble 29 traités mathématiques sur la théorie des nombres, dont le célèbre Observationes circa divisionem quadratorum per numeros primos, mais aussi le De criteriis aequationis fxx+gyy=hzz, utrum ea resolutionem admittat nec ne ?, ainsi que les Considerationes super Theoremate Fermatiano (cf. Sotheran). Le premier volume est paru l'année même de la mort d'Euler. Bel exemplaire à toutes marges, relié sur brochure et en partie non coupé. N° de réf. du libraire 11054

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Titre : Opuscula analytica.

Éditeur : Saint-Pétersbourg Imprimerie de l'Académie des sciences 1783-1785

Date d'édition : 1785

Reliure : Soft cover

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LIVRE Hohere Algebra. Manuscript transcription of Konigsberger's lectures. Konigsberger, Leo.

Hohere Algebra. Manuscript transcription of Konigsberger's lectures.

Konigsberger, Leo.

 

Description :

Königsberger, Leo (1837-1921). Höhere Algebra. Akademische Vorträge . . . W: 1891 1892 S. Bound manuscript, written in a neat German hand. Title (in black letter) and 735 numbered pages. N.p. [Heidelberg], ca. 1892. 206 x 164 mm. Half morocco, mottled boards c. 1892, light wear, one corner bumped. A few pencil annotations in the margins. Ownership signature of "Heinrich H[illeg.], stud. math., Heidelberg" on the verso of the front free endpaper.A unique record of the academic work of Königsberger, one of the most famous mathematicians of his time. Königsberger spent most of his career at the University of Heidelberg, where he taught mathematics from 1869 to 1875 and again from 1884 until his retirement in 1914. He contributed to several fields of mathematics, most notably analysis and analytical mechanics. "Königsberger . . . was extremely skillful in treating material from the Riemannian point of view, as can be seen from his textbooks on elliptic functions (1874) and hyperelliptic integrals (1878). In addition he worked intensively on the theory of differential equations. This subject, which grew out of function theory, is associated especially with Lazarus Fuchs, with whom Königsberger was friendly during his youth. Königsberger was the first to treat not merely one differential equation, but an entire system of such equations in complex variables (DSB)."While at Heidelberg Königsberger became close friends with the chemist Robert Bunsen and physicists Hermann Helmholtz and Gustav Kirchhoff; these contacts provided him with the stimulation for his series of works on the differential equations of analytical mechanics. He also published some notable historic works, including an account of his teacher Weierstrass's first lecture on elliptic functions (1917) and a biography of Helmholtz (1902).The present manuscript is a transcription of Königsberger's lectures on higher algebra given at Heidelberg during the academic year 1891-92; it was most likely prepared by the mathematics student who inscribed his name in the volume. The lectures were not published, and we can find no record of any similar manuscript transcriptions in either OCLC or the Karlsruhe database. Dictionary of Scientific Biography. N° de réf. du libraire 40418

 

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Titre : Hohere Algebra. Manuscript transcription of ...

Éditeur : Heidelberg

Date d'édition : 1892

Reliure : Hardcover

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Commander

Ephemera] Box containing 94 unusual illustrated arithmetic cards

Description :

A most unusual collection of 94 arithmetic cards, the overwhelming majority of which also feature a charming vignette, two or three of a piece of turn-of-the-century material culture, garment or young woman. The cards were created as math drills or exercises by the publisher, Thomas Laurie of Edinburgh, which specialized in educational material and textbooks, and as with most ephemera, the sweet imagery and charm of the material probably did not excite its initial users in the least, who would have regarded these cards as entirely an utilitarian learning tool. Their indifference, of course, doomed most of the sets of these cards to the dustbin and thus what we have now is surely very scarce. While it is likely there were a few additional cards, based on the size of the box the cards came in, this set is close to full, and one will not have a sense of incompleteness with these cards, which are plentiful. The cards today should be valued for their decorativeness, for being a relic and survivor from an earlier educational era, and for their rareness. The cube-shaped box housing them is itself substantial and an object of beauty and interest. The box is close to 12 inches on each side, and the top lid is now hinged, although it was originally not so. (The hinges are themselves obviously old.) To open the box one pulls out a narrow pinned board, and this too should delight. As to dating, there is no date given, but based on the illustrations, circa 1910. The labels on the inside lid would suggest an earlier date, but these labels may predate the set of cards housed in the box. The cards themselves are generally 6.5 by 4.5 inches, or 16 by 12 cm, and each has the text and illustration, both on a slab of what looks almost like paper mache, mounted onto wood board. The "paper mache", or whatever the material is, has some light soiling here and there, heavier on a few cards, with most being lightly touched. N° de réf. du libraire 002190

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Titre : Ephemera] Box containing 94 unusual ...

Éditeur : Thomas Laurie, Edinburgh

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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

 

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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

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Titre : Mathematicae Collectiones.

Reliure : Hard cover

Edition : 1st Edition

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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

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

Reliure : Hard cover

Edition : 1st Edition

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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

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Titre : Elementa Geometriae

Reliure : Hard cover

Edition : 1st Edition

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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
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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