‎tables trigonométriques et tables pour le tracé des courbes ( chemins de fer routes canaux)‎

‎Dunod 1952 in8. 1952. Broché. édition de 1952‎

‎dos recollé bords frottés livre jauni qq rousseurs tache sur le 1er plat‎

‎TABLES POUR LE TRACE DES COURBES DE CHEMINS DE FER, ROUTES ET CANAUX‎

‎H. DUNOD ET E. PINAT. 1919. In-8. Broché. Etat passable, Plats abîmés, Dos fané, Intérieur acceptable. 182 pages. Ecriture en page de titre. manque en second de couverture. Manque sur le dos.. . . . Classification Dewey : 510-Mathématiques‎

‎Première partie : Tables trigonométriques. Deuxième partie : Recueil de Coordonnées. Classification Dewey : 510-Mathématiques‎

‎TABLES TRIGONOMETRIQUES ET TABLES POUR LE TRACE DES COURBES - CHEMINS DE FER - ROUTES - CANAUX.‎

‎DUNOD. 1956. In-8. Broché. Etat d'usage, Livré sans Couverture, Dos satisfaisant, Intérieur acceptable. XLIII + 181 + XIV + 184 pages - Annotations sur la page de titre - Couverture muette - Onglets collés en tête de livre.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎CHOIX DE SUJETS - CALCUL RAPIDE - CLASSE DE 1ERE ECONOMIQUE‎

‎CHEZ LES AUTEURS. 1964. In-12. En feuillets. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 20 pages environ.. . . . Classification Dewey : 510-Mathématiques‎

‎ Classification Dewey : 510-Mathématiques‎

‎Abhandlungen zur Methode der kleinsten Quadrate. In deutscher Sprache herausgegeben von A. Börsch und P. Simon.‎

‎Berlin, P. Stankiewicz, 1887. Cont. hcloth, rebacked with old spine preserved and with original printed wrappers pasted on covers. V,(2),290 pp. A few pencil underlinings.‎

‎First German edition of Gauss' ""Theoria Combinationis observationum erroribus minimis obnoxiae"" (2819-22) and with 7 supplements on the ""method of least squares"" from Gauss' other writings.‎

‎Demonstratio Nova Theorematis Omnem Functionem Algebraicam Rationalem Integram unius Variabilis in Factores Reales Primi vel Secundi Gradus resolvi posse (i.e. English: ""A new proof of the theorem that every integral rational algebraic function of one... - [GAUSS'S DOCTORAL THESIS - HIS FIRST GREAT WORK]‎

‎Helmstadt, C. G. Fleckeisen, 1799. 4to. Bound uncut in a very nice recent pastiche-binding in brown half calf with elaborately gilt spine and marbled paper covered boards. With repair to title-page, not affecting text. Small restorations to upper margin of leaf A2 and A3. Brownspotted throughout. 39, (1) pp. + engraved plate.‎

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‎Rare first edition of Gauss's first book in which he proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. Gauss received his doctorate degree for this work, which is considered his first great work. It marks the beginning of an extraordinary ten years often referred to as his 'Triumphal Decade' with landmark achievements such as the publication of 'Disquisitiones Arithmeticae' and the calculation of the orbit of the newly discovered planet Ceres. On june 16, 1799, even before the thesis was published, Gauss was awarded the title Doctor Philosophiae after the usual requirements of an oral examination, particularly tedious to Gauss, was dropped. In a letter to Bolyai, Gauss's close friend, Gauss described his thesis: ""The title describes the main objective of the paper quite well though I devote to it only about a third of the space. The rest mainly contains history and criticisms of the works of other mathematicians (name d'Alembert, Bougainville, Euler, de Foncenex, Lagrange, and the authors of compendia - the latter will presumably not be too happy) about the subject, together with diverse remarks about the shallowness of contemporary mathematics"" ""Professor Pfaff, Gauss's formal research supervisor, shared with Gauss an interest in the foundations of geometry, but it is mere speculation that the two discussed this topic. Gauss's dissertation is about the fundamental theorem of algebra. The proof and discussion avoid the use of imaginary quantities through the work is analytic and geometric in nature"" its underlying ideas are most suitably expressed in the complex domain. Like the law of quadratic reciprocity, the fundamental theorem of algebra was a recurring topic in Gauss's mathematical work - in fact, his last mathematical paper returned to it, this time explicitly using complex numbers."" (Gauss, A Biographical Study, p. 41). ""There is only one thing wrong with this landmark in Algebra. The first two words in the title would imply that Gauss had merely added a 'new' proof to others already known. He should have omitted ""nova"". His was the first proof . Some before him had published what they supposed were proofs of this theorem - usually called the fundamental theorem of algebra - but logical and mathematical rigor Gauss insisted upon a proof, and gave the first"" (Bell, Men of Mathematics, p. 32) ""Gauss ranks, together with Archimedes and Newton, as one of the greatest geniuses in the history of mathematics."" (Printing & the Mind of Man). Dibner 114‎

‎Disquisitiones generales circa superficies curvas. (General Investigations of Curved Surfaces). - [FOUNDATION OF MODERN GEOMETRY]‎

‎Göttingen, Dieterich, 1828. Small 4to. Extracted from: 'Commentationes Societatis Regiae Scientiarum Gottingensis', Volume 6, pp.99-146. 4to. Modern half morocco with gilt spine lettering. Fine and clean throughout.‎

‎First edition of the work which inspired one of the greatest breakthroughs in geometry since Euclid.Euler established the theory of surfaces in his 'Recherches sur la courbure des surfaces', 1767. But Euler's treatment of surfaces is not invariant under a natural notion of isometry with his notion of curvature, for example, the plane and cylinder have different curvatures, although one surface can be bent into the other without stretching or contracting. Such two surfaces are locally alike and one would naturally demand that geometry on these two isometric surfaces are the same. Another way of viewing this is to say that geometry on the surface depends on the geometry of the particular space, in which the surface is embedded.In this work Gauss took a fundamentally different approach to the study of surfaces" in contrast to Euler he represented the points of a surface in terms of two external parameters. Gauss then derived his own notions of the fundamental quantities of surfaces, e.g. arc length, angle between curves, and curvature. The Gauss curvature is related to the Euler curvature, but possesses a fundamentally different property, namely that it is intrinsic, e.g. isometric surfaces have the same curvature at all points. Or, in other words: Geometry (in Gauss' notion) on the surface is independent of the particular geometry of the ambient space. This remarkable result is known as Gauss' ""theorema egregium"". With this work Gauss established a whole new (and more proper) theory of surfaces. In the paper Gauss derived several important theorems about the length, area, and angles of figures on surfaces. But the ""theorema egregium"" has deep roots in the foundation of geometry and was to initiate one of the greatest breakthroughs in geometry since Euclid. To Bernhard Riemann (a student of Gauss) this result suggested that a surface could be regarded as a space in itself with its own geometry, having its own notion of distance, angles, etc. independent of the geometry of some other space containing the surface. This idea became the corner stone of Riemann's famous 'Ueber die Hypothesen, welche der Geometrie zu Grunde liegen', 1867.Norman 880.‎

‎Über ein neues allgemeines Grundgesetz der Mechanik (Gauss) + (Abel:) Précis d'une théorie des fonctions elliptiques + Précis dúne théorie des fonctions elliptiques. (Suite du mémoire 19. cah. dern.). 3 Memoirs.‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. - Gauss' paper: pp. 232-35. - Abel's papers: pp. 236-278 and pp. 309-348.‎

‎First printing of probably Gauss' most importent work in physics by presenting his ""Principle of Least Action"" , which states that the motion of a system of points which are influenced both by each other and by outside conditions is such as to maximize the agreement with free motion, given the existent constraint. The work is based on his Potential Theory.""In it (the present paper) Gauss stated that the law of least constraint: the motion of a system departs a little as possible from free motion, where departure, or constraint, is measured by the sum of products of masses times the squares of their deviations from the path of free motion. He presented it merely as a new formulation equivalent to the well-known principle of d'Alembert. This work seems obviously related to the old meditations on least aquares, but Gauss wrote to Olbers on 31 January 1829 thai it was inspired by studies of capillarity and other physical problems."" (Kenneth O. May in DSB).The two papers (first printings) by Abel (book-lenghts memoirs) are his last works - he died 1829 and they were published after his death - on the theory of ""elliptic functions"", the discovery of which he shared with Jacobi. In these papers he mentions also the great discoveries published in his memoir 1826 (Memoire sur une proprieté générale d'un classe très-etendu de fonctions transcendentes), which was not published until 1841.Together with these 3 memoirs is found a paper by Alexander von Humboldt: ""Über die bei verschiedenen Völkern üblichen Systeme von Zahlzeichen und über den Ursprung des Stellenwerthes in den indischen Zahlen"", 1829. Pp. 205-231.‎

‎Principia generalia theoriae figurae fluidorum in statu aequilibrii.‎

‎(Göttingen, Dieterich, 1830). 4to. Partly uncut. Spine closed with paperlabel. In: ""Commentarii Societatis Regiae Scientiarum Gottingensis. Classes Mathematica"", Bd. VII. Pp. (39-) 88. Clean and fine.‎

‎First appearance of an importent paper in which Gauss introduced a new method in the calculus of variations and a mathematical treatment of forces of attraction.Gauss had worked on physics already before 1831, publishing ""Uber ein neues allgemeines Grundgesetz der Mechanik"" , which contained the principle of least constraint, and ""Principia generalia theoriae figurae fluidorum in statu aequilibrii"" which discussed forces of attraction. These papers were based on Gauss's potential theory, which proved of great importance in his work on physics. He later came to believe his potential theory and his method of least squares provided vital links between science and nature.""In 1830 appeared Principia generalia theoriae figurae fluidorum in statu aequilibrii, his one contribution to capillarity and an important paper in the calculus of variations, since it was the first solution of a variational problem involving double integrals, boundary conditions, and variable limits.""(DSB).Dunnington, no. 95.- The memoir was reprinted in Ostwald's Klassiker No. 135.‎

‎Theorie der Bewegung der Himmelskörper welche in Kegelschnitten die Sonne umlaufen. Ins Deutsche übertragen von Carl Haase. Mit einem Anhange sowie mit einer photographisches Abbildung...Gauss-Medaille...Facsimile der Gauss'schen lateinischen und deut...‎

‎Hannover, Carl Meyer, 1865. 4to. Contemp. modest hcloth. 2 orig. photographs mounted as frontispiece (Gauss-medal). 279,72,(2) pp. 3 plates, 6 tables. Internally clean.‎

‎First German edition of this milestone in mathematical statistics, first published in Latin as ""Theoria motus corporum coelestium in sectinibus conicis solem ambientum. 1809."" - In this work Gauss revealed for the first time his method of least squares. On January 1, 1801, the Italian astronomer Giuseppe Piazzi discovered the planetoid Ceres, but could only observe it for few days before it was lost in the glare of the Sun until the end of the year. After so many months of not being observed it was not possible to calculate with existing methods at which position it should reappear. However Gauss, at an age of 24, astounded when he in December predicted the exact location at which Ceres again could be observed. Gauss did not reveal how he had calculated the orbit of Ceres. First in 1809 Gauss published his second book ""Theoria motus corporum coelestium in sectionibus conicis solem ambientium"" (the offered item) in which he revealed his new method of orbit calculation. In the first part he dealt with differential equations, conic sections and elliptic orbits, while in the second part, the main part of the work, he showed how to estimate and then to refine the estimation of a planet's orbit using a new method involving minimizing the sum of squared residuals, e.g., the method of least squares. He was able to prove the correctness of the method under the assumption of normally distributed errors. It is here that the Gaussian curve, expressing statistical distribution in probablility, makes its appearance. This work, along with the 'Discuisitiones', was the fruit of the triumphal decade in Gauss' life and established his reputation as a mathematical and scientific genius of the first order. Hald: History of Mathematical Statistics 1750-1930, pp.351-357.‎

‎Recherches arithmétiques. Traduites par A.C.M. Poullet Delisle -- PREMIERE EDITION FRANCAISE -- TRES BEL EXEMPLAIRE‎

‎P., Courcier, 1807, un volume grand in 4 (20,5 cm x 26,5 cm), relié plein veau glacé, dos orné de fers et filets dorés, filets dorés sur les plats, toutes tranches dorées, armes de l'Académie de Paris sur les plats (reliure de l'époque), 20pp., (1), 502pp.‎

‎---- PREMIERE EDITION FRANCAISE, SECONDE PUBLICATION ET PREMIERE TRADUCTION DE CET OUVRAGE PARU EN LATIN SOUS LE TITRE SUIVANT "Disquisitione arithmetica" ---- TRES BEL EXEMPLAIRE DE PRIX DE CONCOURS GENERAL AUX ARMES DE L'ACADEMIE DE PARIS RELIE EN PLEIN VEAU GLACE, TOUTES TARNCHES DOREES, DOS RICHEMENT ORNE DE FERS ET FILETS DORES, FRISES DORES SUR LES PLATS ---- Ce livre ne connaîtra pas d'autres publication et traduction avant 1889 (traduction allemande) ---- "The discovery of the law of quadratic reciprocity, with other vital developments in the theory of numbers". (Horblit N° 38 1st latin ed.) ---- "In a century of brilliant mathematical contributions, Gauss's share was the foremost, for his intuitive mind leapt from solution to solution of problems ages old and the new ones of expanding science. The substance of the above book had been prepared when Gauss was 18. it holds the important law of quadratric reciprocity (accomplishing what Euler and Legendre did not complete), followed by the notation of binary quadratic forms, the introduction of the theory of congruences, expansion of quadratic forms, and a new theory of the division of the circle". (Dibner N° 114 1st latin ed.) ---- DSB - PMM N° 257 & Norman N° 878 (1st latin ed.)**5988/arm3‎

‎Recherches arithmétiques traduites par A.C.M. Poullet-Delisle‎

‎P., Blanchard, 1910, un volume in 4, broché, couverture imprimée (légèrement défraîchie), 20pp., (1), 502pp., ‎

‎---- Nouvelle édition**2301/N5DE‎

‎Carl Friedrich Gauss und Christopher Hansteen. Der Briefwechsel beider Gelehrten im historischen Kontext‎

‎Berlin, Walter De Gruyter 2015 xx + 343pp., with 54 illustrations, 25cm., editor's hardcover, in the series "Abhandlungen der Akademie der Wissenschaften zu Göttingen" Neue Folge Band 35, unread, fine condition, ISBN 978-3-11-034791-3, [contains a critical edition of the surviving letters, 1832-1855. A key theme is research on the earth's magnetism], W93205‎

‎Briefwechsel zwischen C.F. Gauss und H.C. Schumacher. Herausgegeben von C.A.F Peters. Bd. 1-5 (von 6).‎

‎Altona, Gustav Esch, 1860-63. Bound in 5 fine contemp. uniform hcalf. Gilt spines. VIII,440VIII,440VIII,440VIII,440 pp. Textillustrations. A few scattered brownspots.‎

‎Scarce first edition, no the reprint.‎

‎Recherches arithmétiques‎

‎ Paris, Courcier, 1807. In-4, XX-502 pp., veau havane de Bradel, frise à froid et filet doré en encadrement sur les plats, "Académie de Paris. Prix du concours général" dans un médaillon doré au centre des plats, dos lisse orné de fleurons à froid et de filets et frises dorés, tranches dorées (reliure restaurée, petites taches, quelques rousseurs). ‎

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‎Édition originale de la traduction française, l'originale ayant paru en latin en 1801 sous le titre "Disquisitiones arithmeticae" alors que Gauss n'a que vingt-quatre ans. Il pense déjà à sa rédaction alors qu'il est encore étudiant en 1796, comme nous l'apprend son journal. Tout en incluant les dernières avancées dans ce domaine de la théorie des nombres (comme les travaux de Legendre, Euler ou Lagrange), Gauss en réunit et réorganise les différents champs. Il y introduit la notion de congruence sur les entiers pour la première fois et il prouve l'exactitude de la loi de réciprocité quadratique. Dès sa publication, l'ouvrage est reconnu pour son importance par les experts des mathématiques de l'époque et plus particulièrement en France. Gauss reçoit les félicitations de Lagrange, de Sophie Germain et même du philosophe allemand Hegel. De nombreux mathématiciens postérieurs, tels Galois, Cauchy ou Eisenstein poursuivront le développement de ces travaux. De nos jours, l'ouvrage est toujours une source fondamentale de son domaine, notamment pour le mathématicien canadien Manjul Bhargava, médaille Fields de 2014 et dont les travaux prolongent et approfondissent les apports de Gauss. Neumann, "Carl Friedrich Gauss : Disquisitiones arithmeticae (1801)" in Landmark Writings in Western Mathematics 1640-1940, pp. 303-314 "this work belongs to the 'eternal canon' of mathematics, and thus of human culture". Tampon de la bibliothèque du lycée Henri IV. Voir photographie(s) / See picture(s) * Membre du SLAM et de la LILA / ILAB Member. La librairie est ouverte du lundi au vendredi de 14h à 19h. Merci de nous prévenir avant de passer,certains de nos livres étant entreposés dans une réserve. ‎

‎JE DESSINE ET JE COMPTE DE 1 A 20‎

‎FERNAND NATHAN. 1953. In-8. Relié. Etat d'usage, Couv. convenable, Dos satisfaisant, Intérieur frais. Environ 25 pages. Relié par 2 agraffes. Nombreuses illustrations en bleu et blanc,hors texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHEMATIQUES. TERMINALES T STT. SPECIALITES INFORMATIQUE ET GESTION - COMPTABILITE ET GESTION. PROGRAMME 1994‎

‎BORDAS. 1994. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 192 pages. Nombreux graphiques en couleurs dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎SAVOIR & SAVOIR FAIRE, MATHS, TERMINALE A1‎

‎Cedic. 1983. In-8. Broché. Bon état, Couv. légèrement pliée, Dos satisfaisant, Intérieur frais. 193 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Points de repère: un résumé de cours. Pour s'exercer: des exercices... Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHS - COLLECTION INDICE - 1ère S.‎

‎BORDAS. 2001. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 335 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHS - COLLECTION INDICE - TERMINALE S.‎

‎BORDAS. 2006. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 416 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHS INFORMATIQUE - PREMIERE L - EDITION 2007 / COLLECTION INDICE.‎

‎BORDAS. 2007. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 128 pages - pages détachables.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHS - TERMINALES STT / COLLECTION INDICE.‎

‎BORDAS. 2003. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 127 pages.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎Sujets 87 non corrigés. Maths.‎

‎CEDIC / NATHAN. 1987. In-8. Broché. Bon état, Couv. légèrement passée, Dos satisfaisant, Intérieur frais. 188 pages. Quelques figures dans le texte. Plats pliés.. . . . Classification Dewey : 510-Mathématiques‎

‎Terminales A / B / D / D'. Les Editions du Bac 88 . Sujets de juin 87 + 191 exercices classés par thèmes. Classification Dewey : 510-Mathématiques‎

‎MATHS - TERMINALE B / / COLLECTION SAVOIR ET SAVOIR FAIRE.‎

‎CEDIC. 1983. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 199 pages illustrées de nombreuses figures dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎MATHS - TERMINALE STG / COLLECTION INDICE STG.‎

‎BORDAS. 2006. In-4. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 215 pages illustrées de nolbreuses figures et photos en couleurs dans le texte.. . . . Classification Dewey : 372.7-Livre scolaire : mathématiques‎

‎ Classification Dewey : 372.7-Livre scolaire : mathématiques‎