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15/12/2012

Georg Cantor Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind., Herausgegeben von Ernst Zermelo. Nebst einem Lebenslauf Cantors von Adolf Fraenkel.

Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind., Herausgegeben von Ernst Zermelo. Nebst einem Lebenslauf Cantors von Adolf Fraenkel.

Cantor, Georg.

Description :

VII, 486 S. mit einem Bildnis, Reprografischer Nachdruck der Ausgage Berlin 1932. Sprache: de Gewicht in Gramm: 920 Groß 8°, Original-Leinen (Hardcover), Bibliotheks-Exemplar (ordnungsgemäß entwidmet), Stempel auf Titel, insgesamt sehr gutes und innen sauberes Exemplar, N° de réf. du libraire 62362

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Kurt Gödel The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis" [and] "Consistency-Proof for the Generalized Continuum-Hypothesis" [and] "The Independence of the Continuum Hypothesis, I-II"

 

 

The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis" [and] "Consistency-Proof for the Generalized Continuum-Hypothesis" [and] "The Independence of the Continuum Hypothesis, I-II" (in Proceedings of the National Academy of Sciences, Volume 24 (1938), pp.556-557 and Volume 25 (1939), 220-224. Mack Printing Company

Kurt Gödel

 

Détails bibliographiques

 

Titre : The Consistency of the Axiom of Choice and ...

Reliure : Hardcover

Etat du livre : Very Good

Edition : 1st Edition



Description :

TWO MILESTONE PAPERS ON THE FOUNDATIONS OF MATHEMATICS. Two volume first edition of Kurt Gödel's proof of the consistency of the axiom of choice and the generalized continuum hypothesis with the axiom of set theory. In 1878, German mathematician Georg Cantor put forth a hypothesis that said any infinite subset of the set of all real numbers can be put into one-to-one correspondence either with the set of integers or with the set of all real numbers ("There is no set whose cardinality is strictly between that of the integers and that of the real numbers"). The continuum problem, as Cantor's problem came to be know, was the first in Hilbert's famous list of mathematical problems, presented in an address in 1900. All attempts to prove or disprove Cantor's conjecture failed until 1938, when Kurt Gödel, in these papers, showed it was impossible to disprove the continuum hypothesis. "Gödel studied the relationship of the continuum hypothesis and the axiom of choice to basic set theory as formulated by the mathematicians Ernst Zermelo and Abraham Fraenkel. In 1940 Gödel showed that both the continuum hypothesis and the axiom of choice are consistent with the axioms of set theory. More precisely, he demonstrated that if the Zermelo-Fraenkel system without the axiom of choice is consistent, then the Zermelo-Fraenkel system with the axiom of choice is consistent, and that the continuum hypothesis is consistent with the Zermelo-Fraenkel system" (Ryan, Thinkers of the Twentieth Century, p. 212f). "Godel's result, joined to [Paul J.] Cohen's (1963-1964), set the stage for a whole new era in the theory of sets in which a host of problems of the consistency or independence of various conjectures in set theory relative to this or that set of axioms are being investigated by constructing models" (Shanker, Godel's Theorem in Focus, 66-67). CONDITION & DETAILS: 4to (10 x 7 inches). Both volumes handsomely rebound in aged brown cloth (identical to original binding). Gilt-lettered and dated at the spine. Solidly and tightly bound, with both volumes set into a gilt-titled brown slipcase. New endpapers. Very good to near fine condition in every way. N° de réf. du libraire 90

 

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13/12/2012

LIVRE ANCIEN 1637 Discours de la methode pour bien conduire sa raison, & chercher la verité dans les sciences. Plus la Dioptrique, les Meteores, et la Geometrie. Qui sont des essais de cete Methode. DESCARTES, René.

Discours de la methode pour bien conduire sa raison, & chercher la verité dans les sciences. Plus la Dioptrique, les Meteores, et la Geometrie. Qui sont des essais de cete Methode.

DESCARTES, René.

Détails bibliographiques

 

Titre : Discours de la methode pour bien conduire sa...

Éditeur : Jan Maire, Leiden

Date d'édition : 1637

Edition : First edition


Description :

A very fine and exceptionally large copy, entirely unrestored, in its original Dutch vellum binding - the birth of analytical or co-ordinate geometry, designated by John Stuart Mill as "the greatest single step ever made in the progress of the exact sciences". PMM 129; Grolier/Horblit 24; Dibner 81; Evans 5; Sparrow 54."It is no exaggeration to say that Descartes was the first of modern philosophers and one of the first modern scientists; in both branches of learning his influence has been vast. . The revolution he caused can be most easily found in his reassertion of the principle (lost in the middle ages) that knowledge, if it is to have any value, must be intelligence and not erudition. His application of modern algebraic arithmetic to ancient geometry created the analytical geometry which is the basis of the post-Euclidean development of that science. His statement of the elementary laws of matter and movement in the physical universe, the theory of vortices, and many other speculations threw light on every branch of science from optics to biology. Not least may be remarked his discussion of Harvey’s discovery of the circulation of blood, the first mention of it by a prominent foreign scholar. All this found its starting point in the ‘Discourse on the Method for Proper Reasoning and Investigating Truth in the Sciences’. Descartes’s purpose is to find the simple indestructible proposition which gives to the universe and thought their order and system. Three points are made: the truth of thought, when thought is true to itself (thus cogito, ergo, sum), the inevitable elevation of its partial state in our finite consciousness to its full state in the infinite existence of God, and the ultimate reduction of the material universe to extension and local movement." (Printing and the Mind of Man). 4to (203 x 158 mm), pp 78; [2] 413 [1]; [34], original Dutch vellum, gilt fillet on the covers, back cover with stains, flat spine decorated with gilt fillets, green fabric ties. A fine and very large copy. N° de réf. du libraire 2849

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Disquisitiones Arithmeticae. GAUSS, Carl Friedrich

 

Disquisitiones Arithmeticae.

GAUSS, Carl Friedrich

 

Description :

An outstanding copy of Gauss’ masterpiece which created a new epoch in the history of mathematics; entirely untouched in the original interim wrappers and the copy of Polish mathematician and astronomer Jan Sniadecki who collaborated with Gauss on the observation of the planetoid Ceres which led Gauss to his discovery of the method of least squares (see below). "Gauss ranks, together with Archimedes and Newton, as one of the greatest geniuses in the history of mathematics" (Printing and the Mind of Man). PMM 257; Evans 11; Horblit 38; Dibner 114. "In the late eighteenth century [number theory] consisted of a large collection of isolated results. In his Disquisitiones Gauss summarized previous work in a systematic way, solved some of the most difficult outstanding questions, and formulated concepts and questions that set the pattern of research for a century and still have significant today. He introduced congruence of integers with respect to a modulus (a = b (mod c) if c divides a-b), the first significant algebraic example of the now ubiquitous concept of equivalence relation. He proved the law of quadratic reciprocity, developed the theory of composition of quadratic forms, and completely analyzed the cyclotomic equation. The Disquisitiones almost instantly won Gauss recognition by mathematicians as their prince" (DSB). "Published when Gauss was just twenty-four, Disquisitiones arithmeticae revolutionized number theory. In this book Gauss standardized the notation; he systemized the existing theory and extended it; and he classified the problems to be studied and the known methods of attack and introduced new methods The Disquisitiones not only began the modern theory of numbers but determined the direction of work in the subject up to the present time. The typesetters of this work were unable to understand Gauss’ new and difficult mathematics, creating numerous elaborate mistakes which Gauss was unable to correct in proof. After the book was printed Gauss insisted that, in addition to an unusually lengthy four-page errata, the worst mistakes be corrected by cancel leaves to be inserted in copies before sale [as in the offered copy]. Gauss’s highly technical work was printed in a small edition, and the difficulty of understanding it was hardly alleviated by the sloppy typesetting. The few mathematicians who were able to read the Disquisitiones immediately hailed Gauss as their prince, but the full understanding required for further development until the publication in 1863 of Dirichlet’s less austere exposition in his Vorelsungen über Zahlentheorie." (Norman). Provenance: Jan Sniadecki (1756-1830) was a Polish mathematician and astronomer, and the director of the astronomical observatories at Kraków and Vilnius. He was deeply involved in the celebrated discovery of the new planetoid Ceres in 1801 and, besides publishing several works himself on this subject, corresponded directly with Gauss on the orbit of Ceres. "In 1801 the creativity of the previous years was reflected in two extraordinary achievements, the Disquisitiones arithmeticae and the calculation of the orbit of the newly discovered planet Ceres In January 1801 G. Piazzi had briefly observed and lost a new planet. During the rest of that year the astronomers vainly tried to relocate it In September, as his Disquisitiones was coming off the press, Gauss decided to take up the challenge. To it he applied both a more accurate orbit theory (based on the ellipse rather than the usual circular approximation) and improved numerical methods (based on least squares). By December the task was done, and Ceres was soon found in the predicated position. This extraordinary feat of locating a tiny, distant heavenly body from seemingly insufficient information appeared to be almost superhuman, especially since Gauss did not reveal his methods. With the Disquisitiones it established his reputation as a mathematical and scientific genius of the first order. The decade that b. N° de réf. du libraire 2941

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Lost Notebook and Other Unpublished Papers: Mathematical Works of Srinivasa Ramanujan

Lost Notebook and Other Unpublished Papers: Mathematical Works of Srinivasa Ramanujan

 

Détails bibliographiques

 

Titre : Lost Notebook and Other Unpublished Papers: ...

Éditeur : ALPHA SCIENCE

Date d'édition : 2008

Reliure : Hardcover

Etat du livre : Brand New


Description :

419 pages. 11.75x9.50x1.50 inches. In Stock. N° de réf. du libraire __1842655078

 

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LIVRE ANCIEN Elémens d'Algèbre EULER, Léonard 1795

 

 

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Oeuvres de Laplace (7 volumes) & Oeuvres complètes de Laplace (6 volumes = vol. 8-13). LAPLACE, PIERRE SIMON (1749-1827).

Oeuvres de Laplace (7 volumes) & Oeuvres complètes de Laplace (6 volumes = vol. 8-13).

LAPLACE, PIERRE SIMON (1749-1827).

 

Détails bibliographiques

 

Titre : Oeuvres de Laplace (7 volumes) & Oeuvres ...

Éditeur : Paris, Imprimerie Royale / Gauthier-Villars et Fils, 1843.

Date d'édition : 1843

Reliure : Hardcover


Description :

- 1904. The 7 vols. edition is bound in half leather, top edges gilt and the 6 volumes (volumes 8-13 of the 14 vols. ed.) are in orig. paperbacks. Text in French - (covers of paperbacks worn and sl. dam., sl. browned) Although still very good. See image. Weight is 22 kg. Laplace's works were collected in two editions, the seven volumes of his Oeuvres of 1843-47 and the 14 volumes of his Oeuvres complètes of 1878-1912. Present here are the 7 volumes 1843-47 and volumes 8-13 of the 14 vol. edition. Together 13 volumes sold together. 22000g. N° de réf. du libraire 30431

 

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Théorie Analytique des Probabilités. LAPLACE, Pierre Simon.

 

Théorie Analytique des Probabilités.

LAPLACE, Pierre Simon.

 

Détails bibliographiques

 

Titre : Théorie Analytique des Probabilités.

Éditeur : Courcier, Paris

Date d'édition : 1812


Description :

First edition of "the most influential book on probability and statistics ever written." (Anders Hald). "Laplace’s great treatise on probability appeared in 1812, with later editions in 1814 and 1820. Its picture of probability theory was entirely different from the picture in 1750. On the philosophical side was Laplace’s interpretation of probability as rational belief, with inverse probability as its underpinning. On the mathematical side was the method of generating functions, the central limit theorem, and Laplace’s technique for evaluating posterior probabilities. On the applied side, games of chance were still evidence, but they were dominated by problems of data analysis and Bayesian methods for combining probabilities of judgments, which replaced the earlier non-Bayesian methods of Hooper and Bernoulli." (Grattan-Guiness: History and Philosophy of the Mathematical Sciences, p.1301). "In the Théorie Laplace gave a new level of mathematical foundation and development both to probability theory and to mathematical statistics. [It] emerged from a long series of slow processes and once established, loomed over the landscape for a century or more." (Stephen Stigler: Landmark Writings in Western Mathematics, p.329-30). "It was the first full–scale study completely devoted to a new specialty, [and came] to have the same sort of relation to the later development of probability that, for example, Newton’s Principia Mathematica had to the later science of mechanics." (DSB). Evans, First Editions of Epochal Achievements 12; Landmark Writings in Western Mathematics 24; Honeyman 1923. 4to: 255 x 190 mm. Contemporary half calf. Pp. [VI], 464, [2: errata and blank]. A little browning and spotting throughout (as usual with this book), old owners signature scraped from the lower right corner of the title, in all a very good copy. N° de réf. du libraire 2407

 

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In artem analyticum isagoge: eiusdem, Ad logisticem speciosam notae priores. Francisci Vieta Fontenaeensis ; recensuit, scholiisq; illustravit I.D.B[eaugrand]. VIÈTE, François.

 

In artem analyticum isagoge: eiusdem, Ad logisticem speciosam notae priores. Francisci Vieta Fontenaeensis ; recensuit, scholiisq; illustravit I.D.B[eaugrand].

VIÈTE, François.

 

Détails bibliographiques

 

Titre : In artem analyticum isagoge: eiusdem, Ad ...

Éditeur : Guillaume Baudry, Paris

Date d'édition : 1631

Edition : First edition


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Description :

First printing of Viète’s Ad logisticem speciosam notae priores (one of his main works), together with the second edition of his In artem analyticum isagoge, "the earliest work on symbolic algebra [by] the greatest French mathematician of the sixteenth century" (PMM). The first edition of the Isagoge, published at Tours in 1591, is, together with the Lobachevsky, the rarest mathematical work in PMM, and this second edition is in fact rarer than the first in institutional collections [OCLC lists only copies in France and UK]."The ‘Introduction to the Art of Analysis’ is the earliest work on symbolic algebra. Viète’s greatest innovation in mathematics was the denoting of general or indefinite quantities by letters of the alphabet instead of abbreviations of words as used hitherto. Known quantities were represented by consonants, unknown ones by vowels; squares, cubes, etc., were not represented by new letters but by adding the words quadratus, cubus, etc. Viète also brought the + and – signs into general use. This algebraic symbolism made possible the development of analysis, with its complicated processes, a fundamental element in modern mathematics" (PMM). "This innovation, considered one of the most significant advances in the history of mathematics, prepared the way for the development of algebra" (DSB). "To the treatises of the Isagoge belong Ad logisticen speciosam notae priores and Ad logisticen speciosam notae posteriores, the latter now lost. The first was not published during his lifetime, because Viète believed that the manuscript was not yet suitable for publication. (It was published by Jean Beaugrand in 1631.) It represents a collection of elementary general algebraic formulas that correspond to the arithmetical propositions of the second and ninth books of Euclid’s Elements, as well as some interesting propositions that combine algebra with geometry. In propositions 48-51 Viète derives the formulas for sin 2x; cos 2x; sin 3x; cos 3x; sin 4x; cos 4x; sin 5x; cos 5x expressed in terms of sin x and cos x by applying proposition 46. He remarks, that the coefficients are equal to those in the [binomial] expansion., that the various terms must be ‘homogeneous’ and that the signs are alternately + and –" (DSB). The editor, Jean Beaugrand (ca. 1590-1640) "studied under Viète and became mathematician to Gaston of Orléans in 1630; in that year J. L. Vaulezard dedicated his Cinq livres des Zététiques de FR. Viette to Beaugrand, who had already achieved a certain notoriety from having published Viète’s In artem analyticam isagoge, with scholia and a mathematical compendium, in 1631. Some of the scholia were incorporated into Schooten’s edition of [Viète’s Opera Mathematica of] 1646" (DSB, under Beaugrand). Beaugrand was an early friend of Fermat and became his official Paris correspondent, before being replaced in that role by Carcavi. He also communicated some of Fermat’s results to Castelli, Cavalieri and Galileo, all of whom seem to have been impressed by his mathematical ability. In France he became involved in several polemics: against Desargues, claiming that the main proposition of the Brouillon projet was nothing but a corollary to a proposition in Apollonius; and against Descartes, claiming that his Géométrie was plagiarized from Harriot, and that Viète’s methods were in any case superior. OCLC: BNF and Glasgow only; COPAC adds Oxford, UCL and University of London Senate House (for comparison OCLC lists some 15 copies of the 1591 edition). PMM 103 (1591 edition). 12mo (108 x 57 mm), pp [12] 99 [1:errata]; [2] 99, 200-233 [2] [1:blank], although the pagination jumps from 99 to 200 the signatures are continuous (i.e., i2-i3), fine contemporary limp vellum with gilt decoration to front and rear boards, manuscript paper label to spine, two very small paper flaws to the first title, otherwise very fine and clean throughout. N° de réf. du libraire 2885

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CACAO Project

http://mathematics.cross-library.com/math/fr/1/mathematiq...

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11/12/2012

Fractal Dimensions for Poincare Recurrences Valentin (Auteur), Afraimovich (Auteur) - Livre numérique en anglais. Paru en 08/2006

Fractal Dimensions for Poincare Recurrences

Valentin (Auteur), Afraimovich (Auteur) - Livre numérique en anglais. Paru en 08/2006

EN RÉSUMÉThis book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to... 
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Cournot et la renaissance du probabilisme au xixè (19ème) siècle. contient : la vie, l'homme et le milieu , l'écrivain (74p), le savant (30p), les sources du probabilisme (42p), probabilité mathématique et probabilité philosophique (38p), l'idée d MENTRE

Cournot et la renaissance du probabilisme au xixè (19ème) siècle. contient : la vie, l'homme et le milieu , l'écrivain (74p), le savant (30p), les sources du probabilisme (42p), probabilité mathématique et probabilité philosophique (38p), l'idée d

MENTRE FRANCOIS - broché

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27/11/2012

Le codex d'Archimède Reviel Netz (Auteur), William Noel (Auteur) - Roman (broché). Paru en 09/2008

 

Le codex d'Archimède

Reviel Netz (Auteur), William Noel (Auteur) - Roman (broché). Paru en 09/2008

 

EN RÉSUMÉEn octobre 1998, un livre de prières datant du Moyen Âge noirci par le feu, abîmé par l'eau et rongé par la moisissure est vendu deux millions de dollars chez Christie's. Car sous les prières était dissimulé l'unique manuscrit de l'un des plus... 
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Idée cadeau Noël

Idée cadeau Noël

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26/11/2012

Théorème vivant Cédric Villani (Auteur) - Roman (broché). Paru en 08/2012

Théorème vivant

Cédric Villani (Auteur) - Roman (broché). Paru en 08/2012


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Théorème vivant est le récit de la genèse d’une avancée mathématique. Nous voici emportés dans le quotidien d’un jeune chercheur de talent : un véritable « road-trip », de Kyoto à Princeton et de Lyon à Hyderabad, dont Villani tient, au jour le... 
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D'al-Khwarizmi à Descartes , études sur l'histoire des mathématiques classiques Roshdi Rashed (Auteur) - Etude (broché). Paru en 07/2011

 

D'al-Khwarizmi à Descartes , études sur l'histoire des mathématiques classiques

Roshdi Rashed (Auteur) - Etude (broché). Paru en 07/2011

 

Le Mot de l'éditeur : D'al-Khwarizmi à Descartes

Qu’appelle-t-on « mathématiques classiques », « sciences classiques » ? On a coutume de désigner par ces expressions ces disciplines qui se sont développées au XVIe et au XVIIe siècle, et qui seraient les éléments constitutifs de la « raison classique ». Mais l’historiographie des sciences mathématiques et de la pensée scientifique connaît, depuis le milieu du siècle dernier, des transformations majeures. Une meilleure connaissance de ces sciences en arabe et aussi en latin dénonce en effet plus que jamais le cadre étriqué et simpliste où se trouvaient enfermées les mathématiques et la raison classiques.

Les études qui composent ce livre sont destinées à rendre ces sciences mathématiques à l’horizon qui est le leur, en brisant les frontières chronologiques héritées de l’histoire politique : « ancien », « médiéval », « moderne ». On s’efforce de remonter au commencement des différentes sciences mathématiques (mathématiques, astronomie, optique et philosophie des mathématiques) en cherchant à identifier les concepts et les pratiques que les mathématiciens ont mis en œuvre, pour ensuite appréhender certains de leurs développements et de leurs rectifications.

Auteur :
Roshdi Rashed est Directeur de recherche émérite au Centre National de la Recherche Scientifique et Professeur honoraire à l’Université de Tokyo. Ses principales publications portent sur l’histoire des mathématiques grecques, arabes et classiques, ainsi que sur leurs applications aux sciences sociales.

 

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Petits meurtres entre mathématiciens Tefcros Michaelides (Auteur) - Roman (broché). Paru en 10/2012

Petits meurtres entre mathématiciens

Tefcros Michaelides (Auteur) - Roman (broché). Paru en 10/2012

 

EN RÉSUMÉL’OUVRAGE Athènes, 1929 : le mathématicien Stefanos Kantartzis est retrouvé assassiné. Michael Igerinos, son ami de trente ans, est la dernière personne à l’avoir vu en vie… Alors qu’il observe le corps inerte de son ami, les souvenirs de Michael le... 
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3 minutes pour comprendre les 50 plus grandes théories mathématiques R. Brown (Auteur) - Essai (broché). Paru en 06/2012

 

3 minutes pour comprendre les 50 plus grandes théories mathématiques

R. Brown (Auteur) - Essai (broché). Paru en 06/2012

Idée cadeau Noël

Idée cadeau Noël

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Arpenter l'infini, une histoire des mathématiques Ian Stewart (Auteur) - Essai (broché). Paru en 03/2010

 

Arpenter l'infini, une histoire des mathématiques

Ian Stewart (Auteur) - Essai (broché). Paru en 03/2010


EN RÉSUMÉComment des nombres dits imaginaires peuvent-ils empêcher des gratte-ciel de s'effondrer ? Où des lignes parallèles se rejoignent-elles ? A quel moment aujourd'hui avez-vous utilisé de l'algèbre abstraite ?    Ian Stewart répond à ces questions et à... 
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Le beau livre des maths , De Pythagore à la 57ème dimension Clifford A. Pickover (Auteur) - Guide (cartonné). Paru en 10/2010

Le beau livre des maths , De Pythagore à la 57ème dimension

Clifford A. Pickover (Auteur) - Guide (cartonné). Paru en 10/2010

 

EN RÉSUMÉ
Ce magnifique ouvrage en couleur retrace l'histoire des mathématiques en 250 grandes étapes. Les entrées sont  chronologiques, du pédomètre des fourmis (150 millions d'années avant JC) à l'hypothèse de Max Tegmark qui stipule que l'univers physique... 
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14/01/2012

Projet Euclide Project Euclid

http://projecteuclid.org/DPubS?Service=UI&version=1.0...

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