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Cours d'analyse de l'Ecole Polytechnique -- 2 VOLUMES (COMPLETE SET)
P., Mallet-Bachelier, 1863/1864; demi-basane, dos orné de filets dorés (reliures de l'époque), (dos passé, rousseurs, quelques mouillures dans les marges extérieures au tome 1), T.1 : 32pp., 528pp., T.2 : 11pp., 456pp.
---- Seconde édition REVUE et CORRIGEE par E. PROUHET ---- "REMAIN A CLASSIC FOR HALF A CENTURY" (DSB) ---- "In 1838, Sturm was named répétiteur of analysis in Liouville's course at the Ecole Polytechnique where he became professor of analysis and mechanics in 1840... In 1837 he became chevalier of the Légion of Honor and in 1840 he won the Copley Medal of the Royal Society and was elected a member of that body... An excellent lecturer, he was admired for both his personal qualities and his knowledge... His Cours de mécanique, like his Cours d'analyse was used by many students and remained a classic for half a century... Sturm, who was so adept at combining mathematics with physics in his work, appears today, by virtue of his modes of thinking, as a very modern scientist. Since 1900 there has been growing interest in his mathematical work, especially in the United States...". (DSB XIII pp. 126/132)**4913/n6de-4912/n6de-4909/n6de
Cours d'analyse de l'Ecole Polytechnique revue et corrigé par E. Prouhet et AUGMENTE DE LA THEORIE ELEMENTAIRE DES FONCTIONS ELLIPTIQUES PAR H. LAURENT -- BEL EXEMPLAIRE
P., Gauthier-Villars, 1888, 2 volumes in 8 reliés en demi-chagrin marron (reliures de l'époque), T.1 : 32pp., 563pp., T.2 : 10pp., 657pp.
---- BEL EXEMPLAIRE ---- Neuvième édition REVUE ET MISE AU COURANT du nouveau programme par A. DE SAINT-BERMAIN ---- "In 1838, Sturm was named répétiteur of analysis in Liouville's course at the Ecole Polytechnique where he became professor of analysis and mechanics in 1840... In 1837 he became chevalier of the Légion of Honor and in 1840 he won the Copley Medal of the Royal Society and was elected a member of that body... An excellent lecturer, he was admired for both his personal qualities and his knowledge... His Cours de mécanique, like his Cours d'analyse was used by many students and remained a classic for half a century... Sturm, who was so adept at combining mathematics with physics in his work, appears today, by virtue of his modes of thinking, as a very modern scientist. Since 1900 there has been growing interest in his mathematical work, especially in the United States...". (DSB XIII pp. 126/132)**4909/n6de-4913/N6DE-4912/N6DE
Die lehre von den geometrischen verwandtschaften -- EDITION ORIGINALE -- 4 VOLUMES (COMPLETE SET)
Leipzig und Berlin, Teubner, 1908/1909; 4 volumes in 8 reliés en pleine toile éditeur, T.1 : 12pp., 415pp., T.2 : 8pp., 346pp., T.3 : 8pp., 574pp., T.4 : 10pp., 486pp.
---- EDITION ORIGINALE ---- "A publication of wide scope on collineations and correlations is Die Lehre von den geometrischen verwandtschaften, in four volumes, being written by R. Sturm". (Cajori p. 317) ---- "This work is much more than a textbook of projective geometry ; it also contains many chapters on algebraic geometry and among geometric relationships , Sturm included correspondences, Crémona transformations and plane projections of simplest types of rational surfaces... In Lehre von den geometrischen verwandtschaften synthetic geometry in the style of Sturm and his predecessors was developed virtually as far as it could be". (DSB XIII pp. 132/133)**4910/L7AR
Sur les équations aux dérivées partielles du premier ordre à deux variables indépendantes qui admettent un groupe continu de transformation -- EDITION ORIGINALE
P., Gauthier-Villars, 1891, un volume in 4, broché, couverture imprimée, (défraîchie avec petits manques de papier en bordure du premier plat), 152pp.
---- EDITION ORIGINALE de la thèse de doctorat ès sciences mathématiques soutenue le 23 Juillet 1891 par W. De Tannenberg, devant la Faculté des Sciences de Paris**4937/L7AR doss
Introduction à la théorie des fonctions d'une variable -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Hermann, 1886, un volume in 8 relié en demi-basane marron (reliure de l'époque), 12pp., 401pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "Among Tannery's publications, the Introduction à la théorie des fonctions d'une variable exercised an especially great influence on younger generations of mathematicians. Emile Borel stated that it was a profound, vigorous and elegant work that taught him how to think". (DSB XIII p. 250)**4944/N7DE-8352/N7AR
Leçons d'arithmétique théorique et pratique -- EDITION ORIGINALE
P., Colin, 1894; un volume in 8 relié en demi-basane noire, dos orné de fers dorés (reliure de l'époque), (dos légèrement frotté), 12pp., 509pp.
---- EDITION ORIGINALE ---- "Through his lectures and supervisory duties at the Ecole Normale J. Tannery gave valuable guidance to many students and inspired a number of them to seek careers in science for example, Paul Painlevé, Jules Drach and Emile Borel...". (DSB XIII pp. 249/251)**4945/N6DE-4947/CAV.E2
Propriétés des intégrales des équations différentielles linéaires à coefficients variables -- EDITION ORIGINALE
P., Gauthier-Villars, 1874, un volume in 4, broché, (couverture défraîchie, dos cassé, déchirure sans manque de papier au premier plat de couverture, quelques rousseurs), 70pp., (1)
---- EDITION ORIGINALE DE LA THESE de docotrat ès sciences mathématiques présentée par J. TANNERY à la Faculté des Sciences de Paris le 28 Novembre 1874 ---- "Jules Tannery (1848/1910) became professor of mechanics at the Sorbonne in 1875 and sub-director at the Ecole Normale in Paris in 1884. His researches have been in the field of analysis and the theory of functions". (Cajori p. 385) - DSB XIII pp. 249/251**5813/L7AR.Doss
Introduction à la logique - Traduit de l'anglais par J. Tremblay
P., Masson, 1969, un volume in 8, broché, couverture imprimée, 16pp., 224pp.
---- PREMIERE EDITION FRANCAISE ---- Eléments de logique, méthode déductive - Applications de la logique et de la méthodologie à la construction des théories mathématiques**6043/N5DEP
Nouveaux principes de la perspective linéaire ; traduction de deux uovrages, l'un anglais du Docteur Brook TAYLOR, l'autre latin de M. Patrice MURDOCH avec un essai sur le mélange des couleurs par NEWTON
Amsterdam & Lyon, Bruyset, 1759, un volume in 8 relié en pleine basane, dos orné de fers et filets dorés, tranches rouges (reliure de l'époque), (1 coiffe émoussée, 1 mors partiellement et légèrement fendu), (1), 54pp., 1 feuillet non chiffré, 127pp., 4 feuillets non chiffrés, 6 PLANCHES DEPLIANTES
---- Seconde édition française de ces deux ouvrages traduits par le père Antoine Rivière avec un essai sur la théorie des couleurs de NEWTON ---- "Brook TAYLOR, mathématicien anglais, étudie expérimentalement les questions scientifiques de son temps et donne une nouvelle théorie de la perspective" ---- "TAYLOR developed his theory of perspective in a formal and rigorous fashion in a sequence of theorems and proofs. The most aoutstanding and original of his ideas in this fiels were his definition and use of vanishing points and vanishing lines for all lines and planes, and his developement of a theory and practive for the inverse problem of perspective that later served as a basis for work by Lambert and for the development of photogrammetry. TAYLOR also made free use of the idea of associating infinitely distant points of intersection with parallel lines, and he sought to devise mehtods for doing geometric constructions directly in perspective". (DSB XIII pp. 265/268)**7991/N2
10 MEMOIRES ORIGINAUX ou TIRES A PART (OFFPRINT) de CHEBYCHEV reliés en un volume in 8 demi-basane marron : (voir détail ci-après)
1. Ob interpolirovanii [in Cyrillic]. (Sur l'interpolation). Saint-Petersbourg, 1864, (1), 23pp. -- 2. O razlozhenii funktsiy v ryady pri pomosshi nepreryvnykh drobei [in Cyrillic]. (Sur le développement des fonctions en séries au moyen des fractions continues). Saint-Petersbourg, 1866, (1), 26pp. -- 3. Ob interpolirovanii velitchin ravnootstoyasshikh [in Cyrillic]. (Sur l'interpolation des valeurs équidistantes). Saint-Petersbourg, 1875, (1), 30pp. -- 4. Ob otnoshenii dvukh integralov, rasprostranennikh na odne i te zhe velitchiny peremennoy [in Cyrillic]. (Sur le rapport de deux intégrales prises entre les mêmes limites d'intégration. Communication faite à l'Académie impériale des sciences). Saint-Petersbourg, 1883, (1), 33pp. -- 5. O priblizhennykh virazheniyakh odnikh integralov tcherez drugie, vsyatye v tekh zhe predelakh [in cyrillic]. (Sur les expressions approchées des intégrales au moyen d'autres intégrales prises entre les mêmes limites). Kharkov, 1883, 6pp. -- 6. O predstavlenii predelnykh velithcin integralov posredstvom integralnykh vytchetov [in Cyrillic]. (Sur la représentation des valeurs limites des intégrales par des résidus intégraux). Saint-Petersbourg, 1885, (1), 25pp. -- 7. Ob integralnykh vytchetakh dostavlyayusshikh priblizhennyya velitchiny integralov [in Cyrillic]. (Sur les résidus intégraux qui donnent des valeurs approchées des intégrales). Saint-Petersbourg, 1887, (1), 50pp. -- 8. O priblizhennykh vyrazheniyakh kvadratnogo kornya peremennoy tcherez prostyye drobi [in Cyrillic]. (Sur les expressions approchées d'une racine carrée de la variable au moyen des fractions simples). Saint-Petersbourg, 1889, (1), 22pp. -- 9. O summakh sostavlennikh iz znatcheniy prosteysshiskh odnotchlenov umnozhennykh na funktsiyu, kotoraya ostaetsya polozhitelnoy [in Cyrillic]. (Sur les sommes composées des valeurs de monômes les plus simples multipliés par une fonction qui reste positive). Saint-Petersbourg, 1891, (1), 67pp. -- 10. O polinomakh nailutshe predstavlayusshikh znatcheniya prosteysshikh drobnykh funktsiy pri velitchinakh peremennoy zaklyutchayusshikhsya mezhdu dvumya dannimy predelami [in Cyrillic]. (Sur les polynômes qui représentent le mieux les valeurs des fonctions fractionnaires les plus simples pour les valeurs de la variable, comprises entre deux valeurs données). Saint-Petersbourg, 1893, (1), 13pp.
---- TRES RARE REUNION DE MEMOIRES ORIGINAUX DE CHEBYCHEV PRESENTES A L'ACADEMIE DES SCIENCES DE SAINT-PETERSBOURG ---- These papers concern the doctrine of limiting value of integrale. "Tchebychev's importance in the history of science consists not only in his discoveries but also in his founding of a great scientific school. It is sometimes called the Tchebychev school, but more frequently the Petersburg school. The Petersburg mathematical school owes its existence partly to the activity of Tchebychev's elder contemporaries, such as Bunyakovski and Ostrograski ; nevertheless, it was Chebyschev who founded the school, directed and inspired it for many years and influenced the tend of mathematics teaching at Petersburg university. Tchebychev's general approach to mathematics quite naturally resulted in his aspiration toward the effective solution of problems and the discovery of algorithms giving either an exact numerical answer o, if this proved impossible, an approximation ready for scientific and practical applications. He interpreted the strictness of the theory in the event of approximate evaluations as a possibility of precise definition of limits not trespassed by the error of approximation.". (DSB III pp. 222/232). (N° 24)**4961/CART.RUSS
Vysshaya algebra. [in cyrillic] -- (Cours d'algèbre supérieure. Année 1856-1857. recueilli d'après les notes de M.P. Avenarius, édité avec des additions par M. Le Prof. Kourensko) --- EDITION ORIGINALE
Moscou, 1936; un volume in 8, cartonnage éditeur, 197pp.
---- EDITION ORIGINALE ---- "Tchebychev's importance in the history of science consists not only in his discoveries but also in his founding of a great scientific school. It is sometimes called the Tchebychev school, but more frequently the Petersburg school. The Petersburg mathematical school owes its existence partly to the activity of Tchebychev's elder contemporaries, such as Bunyakovski and Ostrograski ; nevertheless, it was Chebyschev who founded the school, directed and inspired it for many years and influenced the tend of mathematics teaching at Petersburg university... Tchebychev's general approach to mathematics quite naturally resulted in his aspiration toward the effective solution of problems and the discovery of algorithms giving either an exact numerical answer o, if this proved impossible, an approximation ready for scientific and practical applications. He interpreted the strictness of the theory in the event of approximate evaluations as a possibility of precise definition of limits not trespassed by the error of approximation...". (DSB III pp. 222/232). (N° 5)**4962/CART.RUSS
Les récréations mathématiques parmi les nombres curieux avec des notes de A. Buquet -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Gauthier-Villars, 1952, un volume in 8 relié en pleine toile verte (reliure de l'époque), couvertures conservées (reliure de l'époque), 6pp., 297pp., 1pp., (1)**8222/P2-8871/CAV.F4
EDITION ORIGINALE ---- BEL EXEMPLAIRE
Multiple-factor analysis. A development and expansion of the vectors of mind
Chicago, University of Chicago Press, 1949; un volume in 8, relié en pleine toile éditeur, 19pp., 535pp.
---- BEL EXEMPLAIRE**5026/ARB1
Geometrie der Kräfte -- EDITION ORIGINALE
Leipzig, Teubner, 1908, un volume in 8 relié en pleine toile éditeur, (petit accroc à la coiffe), 11pp., 381pp.
---- EDITION ORIGINALE**7326/o5de
Les récréations scientifiques ou l'enseignement par les jeux
P., Masson, 1884, un volume grand in 8 relié en demi-toile verte (reliure début XXe), (coiffe légèrement émoussée), 11pp., 321pp., (1), 218 FIGURES dans le texte, 4 PLANCHES EN COULEURS HORS TEXTE
---- BON EXEMPLAIRE ---- Quatrième édition ENTIEREMENT REFONDUE ET COMPLETEE ---- Célèbre aéronaute français, Gaston Tissandier (1843/1899), fondateur de la revue la Nature, publia de nombreux livres de vulgarisation scientifique accessibles à tous ---- La vision et les illusions d'optique - L'analyse des hasards et les jeux mathématiques - La chimie sans laboratoire - La toupie magique et le gyroscope - Les jeux et les jouets scientifiques - La maison d'un amateur de sciences - Les appareils de locomotion - etc**50440/5044/P2
Les transformations de FOURIER, LAPLACE, GAUSS et leurs applications au calcul des probabilités et à la statistique -- EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) des Annales de l'Institut Henri Poincaré
P., Gauthier-Villars, 1938, un volume in 8, broché, couverture imprimée, (petite déchirure en bordure du premier plat de couverture sans manque de papier), pp. 111/149
---- EDITION ORIGINALE ---- TIRE-A-PART (OFFPRINT) des Annales de l'Institut Henri Poincaré**69140/6914/o7ar
Die mathematischen fächer an den niederen gewerblichen lehranstalten in Deutschland -- EDITION ORIGINALE
Leipzig & Berlin, Teubner, 1914, un volume in 8, broché, 150pp.
---- EDITION ORIGINALE**5076/L7AR
Directions de Borel des fonctions méromorphes
P., Gauthier-Villars, 1938, un volume in 8, broché, couverture imprimée
---- EDITION ORIGINALE**8402/o5ar
Fonctions entières et fonctions méromorphes d'une variable
P., Gauthier-Villars, 1925, un volume in 8, broché, 58pp.
---- EDITION ORIGINALE**5134/o7ar
Théorie des fonctions
P., Masson, 1948, un volume in 8, broché, couverture imprimée, (2), 2pp. 522pp.
---- Deuxième édition (REVUE et AUGMENTEE) ---- BEL EXEMPLAIRE ---- G. VALIRON fut professeur à la Faculté des sciences de Paris ** (N5DE.5135)
Elémens de mathématique -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Brunet, 1731, 2 parties en un volume in 4 relié en plein veau, dos orné de fers dorés, tranches rouge (reliure de l'époque), (petites auréoles marginales sans gravité aux 3 premiers feuillets), (6), 66pp., 155pp., (1pp.), (4), 22 PLANCHES DEPLIANTES
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "Fully occupied by his teaching duties and his responsibilities as an academician, Varignon had no leisure to prepare works for publication... From the papers he left at his death, most of which are now lost, his disciples assembled several posthumous works : Nouvelle mécanique, Eclaircissements sur l'analyse des infiniment petits and Elémens de mathématiques (1731) which was based on his courses at the Collège Mazarin. His intense pedagogical activity, extending over more than thirty years, constituted his chief contribution to the progress of science and was the source of his fame. By inaugurating a chair devoted specifically to mathematics at the Collège Mazarin, he joined the handful of men who were then teaching advanced mathematics ; and it is in this context that his work was of great importance...". (DSB XIII p. 582) ---- Géométrie spéculative - Des lignes droites et des angles qu'elles renferment - Des lignes circulaires et de leur rencontre avec les lignes droites - Mesure des angles rectilignes - Des surfaces - Triangles rectilignes - Parallélogrames - Des proportions - Proportions des lignes droites et des figurent qu'elles contiennent - Trigonométrie - Des corps ou des solides - Géométrie pratique - De la position et de la mesure des lignes droites - Mesure des surfaces rectilignes - Additions, soustraction, multiplication et division des grandeurs entières - Des proportions - Des proportions géométriques - Des fractions - Extraction des racines - Des équations - etc**8067/K1
Eclaircissemens sur l'analyse des infiniment petits -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Rollin, 1725, un volume in 4 (23,5 cm X 18,5 cm), relié en pleine basane, dos orné de fers dorés (reliure de l'époque), (habiles restaurations à un mors), (4), 118pp., (1), 6 PLANCHES dépliantes
---- EDITION ORIGINALE ---- TRES RARE ---- BEL EXEMPLAIRE ---- "Fully occupied by his teaching duties and his responsibilities as an academician, Varignon had no leisure to prepare works for publication... From the papers he left at his death, most of which are now lost, his disciples assembled several posthumous works : Nouvelle mécanique, Eclaircissements sur l'analyse des infiniment petits (1725) and Elémens de mathématiques (1731). His intense pedagogical activity, extending over more than thirty years, constituted his chief contribution to the progress of science and was the source of his fame. By inaugurating a chair devoted specifically to mathematics at the Collège Mazarin, he joined the handful of men who were then teaching advanced mathematics... In working with the model of falling bodies, Varignon encountered difficulties in obtaining acceleration as a second derivative. This problem had the advantage, however, of obliging him to reassess calculus. His acceptance of the new procedures occurred between 1692 and 1695, and he was among those who gave the most favorable reception to the publication of L'Hospital's Analyse des infiniment petits. The Eclaircissemens is composed of critical notes that Varignon, as professor, considered necessary in presenting L'Hospital's pioneering work to young mathematicians - further evidence of his constructive role in the movement to transform the operations used in mathematics. But Varignon accomplished even more : in 1700-1701 he refuted Rolle's arguments against the new calculus, challenged the cabal that had formed within the Academy, and obliged Leibniz to furnish a more precise account of his ideas. Leibniz, to be sure, did not give him all the aid desired. Nevertheless, he encouraged Varignon to cease debating principles and to start developing mechanical applications of the new mathematics. The questions that Varignon subsequently treated show how faithfully he followed Leibniz' advice. In his course at the Collège Royal for 1722-1723, Varignon planned to discuss the foundations of infinitesimal calculus but was able to do no more than outline his ideas. Although he died before he could present what was undoubtedly the core of a lifetime's experience, that experience had already borne fruit". (DSB XIII)**5158/ARM3-5159/ARB3
La notion de capacité -- EDITION ORIGINALE
P., Hermann, 1937, un volume in 8, broché, couverture imprimée, (mouillures pâles en bordure des feuillets), 50pp
---- EDITION ORIGINALE ---- La notion classique de capacité et son extension par M. Wiener - La notion de capacité plus générale de M. de La Vallée Poussin - Définitions géométriques de la capacité de Wiener, dues à MM. Fekete, Polya et Sezgo - ETC**5161/o7ar
Le calcul vectoriel. Préface de H. Villat -- EDITION ORIGINALE
P., Gauthier-Villars, 1933, un volume in 8, broché, (dos cassé), 18pp., 252pp.
---- EDITION ORIGINALE**5184/o5ar
Leçons sur la théorie des équations selon Galois précédées d'une introduction à la théorie des groupes -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Gauthier-Villars, 1939, un volume in 8 broché, couverture imprimée, 8pp., 347pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE**5185/N7DE
