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20/01/2013

Livre de 1744 Methodus invenieni Lineas Curvas. Euler, Leonhard.

Détails bibliographiques

 

Titre : Methodus invenieni Lineas Curvas.

Éditeur : Lausanne & Geneva

Date d'édition : 1744

Reliure : Hardcover

Edition : 1st Edition


Description :

Euler, Leonhard (1707-1783). Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici latissimo sensu accepti. 4to. [2], 322, [2]pp. 5 folding engraved plates. Lausanne & Geneva: Marc-Michel Bousquet & Compagnie, 1744. 248 x 199 mm. Half morocco, gilt spine, marbled boards c. 1744, rubbed, some wear at extremities and corners, bookplate removed from inside front cover. Minor foxing and toning, but very good. From the library of Pietro Riccardi (1828-98), historian and bibliographer of mathematics, with his library bookplate on the front endpaper.First Edition. With the publication of this work, the calculus of variations came into being as a new branch of mathematics. Euler was the first to formulate the principal problems of the calculus of variations and to create general methods for their solution. His work in the Methodus was cumbersome by modern standards (the calculus of variations as we know it is the work of Lagrange), but it yielded simple and elegant formulae applicable to a large variety of problems. He introduced (using different terminology) the concepts of function and variation, distinguished between problems of absolute and relative extrema, and deduced the differential equation that now bears his name. This copy is from the library of Pietro Riccardi, author of Biblioteca matematica italiana (1870-93). Horblit, One Hundred Books Famous in Science, 28. Dibner, Heralds of Science, 111. Norman 731. Kline, Mathematical Thought, pp. 377-79. Struik, Source Book in Mathematics, pp. 399-406. N° de réf. du libraire 42452

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Edition 1744 Methodus inveniendi Lineas Curvas Maximi Minimive proprietate gaudentes, sive Solutio Problematis isoperimetrici latissimo sensu accepti. EULER, Leonhard.

Détails bibliographiques

 

Titre : Methodus inveniendi Lineas Curvas Maximi ...

Éditeur : Marcum-Michaelem Bosquet & Socios, Lausanne & Geneve

Date d'édition : 1744

Edition : First edition


Description :

An exceptionally fine copy of "Euler’s most valuable contribution to mathematics in which he developed the concept of the calculus of variations." (Norman). "This work displays an amount of mathematical genius seldom rivaled." (Cajori). "The book brought him immediate fame and recognition as the greatest living mathematician." (Kline). Horblit 28; Evans 9; Dibner 111; Sparrow 60; Norman 731."Starting with several problems solved by Johann and Jakob Bernoulli, Euler was the first to formulate the principal problems of the calculus of variations and to create general methods for their solution. In Methodus inveniendi lineas curvas he systematically developed his discoveries of the 1730’s (1739, 1741). The very title of the work shows that Euler widely employed geometric representations of functions as flat curves . Here he introduced, using different terminology, the concepts of function and variation and distinguished between problems of absolute extrema and relative extrema, showing how the latter are reduced to the former . (DSB). "In this book Euler extended known methods of the calculus of variations to form and solve differential equations for the general problem of optimizing single-integral variational quantities. He also showed how these equations could be used to represent the positions of equilibrium of elastic and flexible lines, and formulated the first rigorous dynamical variational principle." (Craig G. Fraser). "Basel had achieved enough glory in the history of mathematics through being the home of the Bernoullis, but she doubled her glory, when she produced Léonard Euler." (Smith).Craig G. Fraser in: Landmarks Writings in Western Mathematics, chapter 12; Cajori, History of Mathematics, p. 234; Smith, History of Mathematics, pp. 520-21; Kline, Mathematical Thought from Ancient to Modern Times, p. 579. 4to: 250 x 200 mm, fine contemporary polished calf with richly gilt spine (entirely untouched), pp [4:blank] [2:title] [1] 2-232 [2] and 5 folding engraved plates (the last two with some uniform browning due to the paper), title printed in red and black, engraved title vignette, woodcut head-piece and initial, an extremely fresh and crisp copy, completely unrestored. N° de réf. du libraire 2751

 

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19/01/2013

Edition 1925 Principia Mathematica. WHITEHEAD, Alfred North, & Bertrand Russell.

Description :

3 volumes, octavo. Original publisher's dark blue cloth, spines lettered in gilt, cream endpapers. A little very light rubbing to extremities, an excellent set. Ownership inscriptions dated December 1932 on front free endpapers. Second edition. The first edition of Principia mathematica, the greatest single contribution to symbolic logic for the time, appeared in 1910–13 in a lopsided publication: 750 copies of the first volume in 1910; only 500 each of the later two volumes. The revisions and additions of the second edition, introducing a new system of logic influenced by both Wittgenstein and Frank Ramsey, were produced solely by Russell. The set has become harder to find complete as first volumes from it are often pilfered to make up defective sets of the first edition. Blackwell & Ruja A9.2a. N° de réf. du libraire 74366

 

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introduction philosophie mathematique Bertrand Russell (Auteur) - broché. Paru en 03/1991

 

Le Mot de l'éditeur : introduction philosophie mathematique

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Autobiographie 1872-1967 , Coffret 2 volumes Bertrand Russell (Auteur) - Biographie ((donnée non spécifiée)). 2 volumes. Paru en 11/2012

Autobiographie 1872-1967 , Coffret 2 volumes

Bertrand Russell (Auteur) - Biographie ((donnée non spécifiée)). 2 volumes. Paru en 11/2012

Fiche détaillée : Autobiographie 1872-1967

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Autours des principia mathematica de Russell et Whitehead Alexandre Guay (Auteur) - Etude (broché). Paru en 04/2012

Autours des principia mathematica de Russell et Whitehead

Alexandre Guay (Auteur) - Etude (broché). Paru en 04/2012

Auteur Alexandre Guay
Editeur Universitaires De Dijon Eds
Date de parution 05/04/2012
Collection Histoire Philosophie Des Sciences
Format 15cm x 23cm
ISBN 2364410118
EAN 978-2364410114
Nombre de pages 190

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Bertrand Russell - Face to Face Interview (BBC, 1959)

 

 

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Composer le temps ENS

Composer le temps


mardi 04 décembre 2012

 

Descriptif

Conférence de Gérard Berry pour une analyse du traitement du temps et des événements en informatique.

En informatique classique, le temps est souvent vu à travers le seul prisme du temps de calcul, et rarement vu comme un objet dont la programmation doit parler directement. Or, l’expression directe du temps est fondamentale pour de nombreuses applications informatiques : la conduite de systèmes physiques en temps réel, le traitement du signal, l’orchestration d’applications Web, ou encore la composition musicale pour les générateurs de sons et instruments électroniques. Ceci vaut plus généralement pour le traitement d’événements répétitifs, assimilables à des temps asynchrones au temps physique. Nous analyserons les questions posées par la représentation du temps et des événements répétitifs en informatique, la façon d’en parler dans les langages de programmation ou les logiques de raisonnement, le type d’applications concernée, et la relation avec les activités de modélisation et de simulation de systèmes.

Source : http://savoirsenmultimedia.ens.fr/expose.php?id=968

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La Marche des sciences / Nicolas Bourbaki fait son entrée à la BNF !

A l'occasion du versement des archives Nicolas Bourbaki à la BNF par les éditions Hermann, éditeur d'origine de cette société secrète, retour sur l'histoire, l'oeuvre et les apports de Bourbaki à la Mathématique, et plongée dans les documents d'archives qui seront bientôt accessibles au grand public....

 

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http://plus.franceculture.fr/partenaires/selection-france...

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Visible contours of real cubic surfaces

lundi 28-01-2013 à 15h30 (Salle de séminaires IRMA) - Séminaire Géométrie et applications

Sergey Finashin (METU, Ankara) : "Visible contours of real cubic surfaces"

Résumé : A visible contour of a cubic surface X in a projective 3-space is the curve formed by the critical values of the central projection mapping X to a plane. Such curve, C, is a sextic whose only singularities are six cusps lying on a conic, provided cubic X is non-singular and the center of projection is chosen outside X and generic. In a joint recent work with V.Kharlamov, we obtained an equisingular deformation classification of such visible contours C, in the real setting (i.e., over the ground field R). This is done by analysis of the lattice arithmetics of the real K3 surfaces, which are double covers of the plane ramified along C. An interesting unexpected outcome is splitting of these deformation classes (with a few exceptions) into pairs of partners, which looks like a kind of a ``strange`` duality.

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http://www-irma.u-strasbg.fr/article286.html

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Grandes déviations pour la marche aléatoire en scène aléatoire

mercredi 23-01-2013 à 10h40 (Salle de séminaires IRMA) - Séminaire Calcul stochastique

Fabienne Castell (Marseille) : "Grandes déviations pour la marche aléatoire en scène aléatoire."

Résumé : La marche aléatoire en scène aléatoire (MASA) intervient dans de nombreux modèles de la physique, tels que des modèles de polymères, le modèle d'Anderson aléatoire, ou des modèles de diffusion en écoulement cisaillé. L'exposé fait un état des lieux sur les résultats de grandes déviations de la MASA en temps grand. Cette question est très reliée à l'étude des grandes déviations des temps locaux d'autointersection d'une marche simple.

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http://www-irma.u-strasbg.fr/article286.html

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Transformations géométriques et recherche d'invariants : origines et perspectives dans le monde arabe aux Xe et XIe siècle

lundi 21-01-2013 à 14h00 (Salle de séminaires IRMA) - Séminaire GT3

Pascal Crozet (Jussieu) : "Transformations géométriques et recherche d'invariants : origines et perspectives dans le monde arabe aux Xe et XIe siècle"

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http://www-irma.u-strasbg.fr/article286.html

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Image du groupe de tresses dans l'algèbre de Temperley-Lieb finie

lundi 21-01-2013 à 11h00 (Salle de séminaires IRMA) - Séminaire Quantique

Olivier Brunat (Institut de Mathématiques de Jussieu) : "Image du groupe de tresses dans l'algèbre de Temperley-Lieb finie"

Résumé : Travail en commun avec Ivan Marin (arXiv:1203.5210)

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http://www-irma.u-strasbg.fr/article286.html

 

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06/01/2013

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

Détails bibliographiques

 

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

 

Détails bibliographiques

 

Titre : Hohere Algebra. Manuscript transcription of ...

Éditeur : Heidelberg

Date d'édition : 1892

Reliure : Hardcover


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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

Détails bibliographiques

 

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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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

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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


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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

Détails bibliographiques

 

Titre : Elementa Geometriae

Reliure : Hard cover

Edition : 1st Edition


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