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Eléments de la théorie des nombres. Congruences, formes quadratiques, nombres incommensurables, questions diverses ---- EDITION ORIGINALE
P., Gauthier-Villars, 1900; un volume in 8 relié en cartonnage éditeur, 8pp., 403pp.
---- EDITION ORIGINALE ---- Dickson History of numbers, tomes 1, 2 & 3**1008/N4
Discours prononcés dans la séance publique tenue par l'Académie française pour la réception de M. Alfred Capus le Jeudi 28 Juin 1917 -- EDITION ORIGINALE
P., Firmin-Didot, 1917, un volume in 4, broché, couverture imprimée, 1 portrait, 55pp.
---- EDITION ORIGINALE ---- A. Capus, ayant été élu par l'Académie française à la place laissée vacante par la mort de Henri Poincaré, a prononcé un discours entièrement consacré à la vie et à l'oeuvre de H. Poincaré**4238/6769/L7DE-7120/M7DE
Géométrie de position -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Duprat, 1803, un volume in 4 relié en demi-basane, dos orné de fers et filets dorés (reliure de l'époque), (petit accroc sans gravité à une coiffe, petites auréoles dans la marge supérieure d'une dizaine de feuillets), (2), 38pp., 1 feuillet non chiffré, 489pp., 15 PLANCHES DEPLIANTES
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE GRAND DE MARGE ---- "CARNOT's Géométrie de position is important contribution to modern geometry. While G. Monge revelled mainly in three-dimensional geometry, CARNOT confined himself to that of two. By his effort to explain the meaning of the negative sign in geometry he established a geometry of position, which, however, is different fromm the geometrie der lage" of to-day. He invented a class of general theorems on projective properties of figures, which have since been pushed to geat extent by J.V. Poncelet, Michel Chasles and others. Thanks to Carnot's researches, says J.G. Darboux, "the conceptions of the inventors of analytic geometry, Descartes and Fermat, retook alongside the infinitesimal calculus of Leibniz and Newton the place they had lost, yet should never have ceased to occupy". (Cajory p. 276) ---- DSB III pp. 70/79**8077/J1
Mémoire sur la relation qui existe entre les distances respectives de cinq points quelconques pris dans l'espace SUIVI d'un essai sur la théorie des TRANSVERSALES -- EDITION ORIGINALE -- BEL EXEMPLAIRE -- "IMPORTANT CONTRIBUTION TO MODERN GEOMETRY"
P., Courcier, 1806, un volume in 4 relié en demi-basane, dos orné de filets dorés (reliure de l'époque), 2 feuillets non chiffrés (faux-titre + titre), 111pp., (1pp.), 3 PLANCHES DEPLIANTES
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "IMPORTANT CONTRIBUTION TO MODERN GEOMETRY" ---- "... CARNOT's Géométrie de position and his ESSAY ON TRANSVERSALS (1806) ARE IMPORTANT CONTRIBUTIONS TO MODERN GEOMETRY. While G. Monge revelled mainly in three-dimensional geometry, CARNOT confined himself to that of two. By his effort to explain the meaning of the negative sign in geometry he established a "geometry of position". He invented a class of general theorems on projective properties of figures which have since been pushed to great extend by J.V. Poncelet, Michel Chasles and others. Thanks to CARNOT's researches says J.G. DARBOUX". (Cajori p. 276 ---- DSB III**8279/arb5
La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile -- EDITION ORIGINALE
P., Gauthier-Villars, 1937, un volume in 8,broché, couverture imprimée, 6pp., 269pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE ---- "Cartan's mathematical works can be described as the development of analysis on differentiable manifolds, which many now consider the central and most vital part of modern mathematics and which he was foremost in shaping and advancing. This field centers on Lie groups, partial differential systems, and differential geometry ; these, chiefly through Cartan's contributions, are now closely interwoven and constitute a unified and powerful tool". (DSB III pp. 95/96)**1061/6957/o5ar+cav.e4/f4
Le parallélisme absolu et la théorie unitaire du champ
P., Hermann, 1932, un volume in 8, broché, 21pp.
---- EDITION ORIGINALE ---- "Cartan's mathematical works can be described as the development of analysis on differentiable manifolds, which many now consider the central and most vital part of modern mathematics and which he was foremost in shaping and advancing. This field centers on Lie groups, partial differential systems, and differential geometry ; these, chiefly through Cartan's contributions, are now closely interwoven and constitute a unified and powerful tool". (DSB III pp. 95/96)**1082/CAV.F4
Mémoire sur LES INTEGRALES DEFINIES (and) Mémoire sur LA THEORIE DE LA PROPAGATION DES ONDES A LA SURFACE D'UN FLUIDE PESANT ---- soit DEUX MEMOIRES ORIGINAUX DE CAUCHY in mémoires présentés par divers savants à l'Académie des sciences tome 1, pp. 599-784 et pp. 3-124 --- relié avec : DAMOISEAU (M.). Mémoire sur la théorie de la lune, pp. 313/597
P., Gauthier-Villars, 1827, un volume in 4, broché, couverture imprimée d'origine (petit accroc sans gravité sur le premier plat de couverture)
---- EDITION ORIGINALE ---- BON EXEMPLAIRE NON COUPE ET NON ROGNE ---- "CAUCHY was a prolific and profound mathematician. He was one of the leaders in infusing rigor into analysis. His researches extended over the field of series, of imaginaries, theory of numbers, differential equations, theory of substitutions, theory of functions, determinants, mathematical astronomy, light, elasticity, etc, covering pretty much the whole realm of mathematics, pure and applies". (Cajori pp. 368/369) ---- "Le mémoire de Cauchy sur les intégrales définies avec limites de nombres complexes, inaugura sa belle carrière de créateur indépendant ; personne ne l'a égalé dans le développement de la théorie des fonctions d'une variable complexe, dont Gauss avait établi le théorème fondamental en 1811, trois ans avant Cauchy. Le mémoire de Cauchy, abondamment détaillé, ne fut publié qu'en 1827 ; ce retard s'explique par la longueur du travail, environ 180 pages...". (E.T. Bell "Les grands mathématiciens" p. 309 ) ---- DSB III p. 132**8533/arb1
Vorlesungen ¥ber nat¥rliche geometrie. Autorisierte deutsche ausgabe von Dr. G. Kowalewski. Zweite auflage mit einem anhang ¥ber die verallogemeinerte nat¥rliche geometrie
Leipzig, Teubner, 1926, un volume in 8 relié en pleine toile éditeur, 6pp., (1), 352pp., 48 figures dans le texte
---- Seconde édition ---- "Throughout his life, the variety of Cesaro's interests was always remarkable, ranging from elementary geometrical problems to the application of mathematical analysis ; from the theory of numbers to symbolic algebra ; from the theory of probability to differential geometry...". (DSB III pp. 177/179)**1152/L7AR
Sur les points d'égale inertie. Les figures isotropes et les enveloppes d'égale inertie
Bruxelles, Hayez, 1928, un volume in 8, broché
---- EDITION ORIGINALE**6997/N7DE
Mémento extrait de ma démonstration et généralisation du théorème de FERLAT
Autun, Chez l'Auteur, 1933, un volume in 4, broché, couverture imprimée, 37pp.
---- EDITION ORIGINALE**2057/N7AR
Noviy metod priblizhennogo integrirovaniya differentysialnykh uravneniy [in Cyrillic] - (A NEW METHOD OF THE APPROXIMATE INTERGRATION DIFFERENTIAL EQUATIONS) -- EDITION ORIGINALE
Moscou & Leningrad, 1932; un volume in 8, broché, couverture imprimée, 52pp.
---- EDITION ORIGINALE ---- RARE ---- "This Russian mathematician and physicist graduated from the University of Moscow, later teaching mathematics there on the recommendation of Zukovsky. Interested in classical mechanics, especially the mechanics of liquids and gases, Chaplygin continued the work of St. Venant on jet streams and contributed to aerodynamics through his studies of wing cross section. Chaplygin's works also enriched mathematics : his studies of methods of approximation for solving differential equations are achievements of mathematical thought". (DSB III pp. 194/197 et Bibliotheca Mechanica p. 69) - N° 21**1162/Cart
Priblizhennoye integritovaniye obyknovennogo differentsialnogo uravneniya pervogo poryadka [in cyrillic]. - (INTEGRATION APPROXIMATIVE DES EQUATIONS DIFFERENTIELLES ORDINAIRES DU PREMIER ORDRE ; CONFERENCE DONNEE LE 4 DECEMBRE 1919) -- EDITION ORIGINALE
Petrograde, 1920, un volume in 8, broché couverture imprimée, 20pp.
---- EDITION ORIGINALE ---- RARE ---- "This Russian mathematician and physicist graduated from the University of Moscow, later teaching mathematics there on the recommendation of Zukovsky. Interested in classical mechanics, especially the mechanics of liquids and gases, Chaplygin continued the work of St. Venant on jet streams and contributed to aerodynamics through his studies of wing cross section. Chaplygin's works also enriched mathematics : his studies of methods of approximation for solving differential equations are achievements of mathematical thought". (DSB III pp. 194/197 et Bibliotheca Mechanica p. 69) - (N° 20)**1161/cart
Aperçu historique sur l'origine et le développement des méthodes en géométrie particulièrement de celles qui se rapportent à la géométrie moderne suivi d'un mémoire de géométrie sur deux principes généraux de la science, la dualité et l'homographie
P., Gauthier-Villars, 1889, un fort volume in 4 relié en demi-chagrin marron (reliure de l'époque), (2), 2pp., 851pp.
---- "A STANDARD HISTORICAL WORK" ---- Troisième édition ---- "The Aperçu historique established Chasles' reputation both as a geometer and a historian of mathematics... He saw clearly the basic concepts and their ramifications in what is now known as projective geometry, and his texts were influential in the teaching of that subject in Germany and Great Britain as well as in France... The Aperçu historique remains a classic example of a good history of mathematics written by a mathematician". (DSB III pp. 212/214) ---- "His admirable Aperçu historique sur l'origine et le développement des méthodes en géométrie contains a history of geometry and, as an appendix, a treatise "Sur deux principes généraux de la science". The Aperçu historique is still a standard historical work ; the appendix contains the general theory of homography (collineation) and of duality (reciprocity)". (Cajori p. 292) ---- Honeyman n° 672**1191/m6ar-8379/cart5-1188/N5AR-1187/K1
Aperçu historique sur l'origine et le développement des méthodes en géométrie particulièrement de celles qui se rapportent à la géométrie moderne suivi d'un mémoire de géométrie sur deux principes généraux de la science, la dualité et l'homographie -- EDITION ORIGINALE
BRUXELLES, HAYES, 1837, un fort volume in 4 relié en pleine basane, dos orné de fers dorés (reliure de l'époque), (cachet de bibliothèque), (2), 851pp.
---- EDITION ORIGINALE ---- "A STANDARD HISTORICAL WORK" ---- "The FIRST EDITION of the Aperçu historique appeared in Mémoires couronnés par l'Académie de Bruxelles (1837) and is very rare". (DSB) ---- "The Aperçu historique established Chasles' reputation both as a geometer and a historian of mathematics... He saw clearly the basic concepts and their ramifications in what is now known as projective geometry, and his texts were influential in the teaching of that subject in Germany and Great Britain as well as in France... The Aperçu historique remains a classic example of a good history of mathematics written by a mathematician". (DSB III pp. 212/214) ---- "His admirable Aperçu historique sur l'origine et le développement des méthodes en géométrie contains a history of geometry and, as an appendix, a treatise "Sur deux principes généraux de la science". The Aperçu historique is still a standard historical work ; the appendix contains the general theory of homography (collineation) and of duality (reciprocity)". (Cajori p. 292) ---- Honeyman n° 671**1187/K1
Traité des sections coniques faisant suite au traité de géométrie supérieure -- EDITION ORIGINALE --Première partie SEULE PUBLIEE
P., Gauthier-Villars, 1865; un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés (reliure de l'époque), (petit accroc à la coiffe, quelques rousseurs), 11pp., (1), 368pp., 5 planches dépliantes
---- EDITION ORIGINALE ---- Première partie SEULE PUBLIEE ---- "... In 1846 a chair of higher geometry was created for CHASLES at the Sorbone and he remained there until his death... He published highly original work... His work was marked by its unity of purpose and method. The purpose was to show not only that geometry, by which he meant synthetic geometry, had methods as powerful and fertile for the discovery and demonstration of mathematical truths as those of algebraic analysis, but that these methods had an important advantage, in that they showed more clearly the origin and connections of these truths. The methods were those introduced by L. Carnot, G. Monge and V. Poncelet and included a systematic use of sensed magnitudes, imaginary elements, the principle of duality and transformations of figures... Chasles wrote two textbooks for his course at the Sorbonne. The first of these, the Traité de géométrie supérieure is based on the elementary theories of the cross ratio, homographic ranges and pencils and involution... In the case of the cross ratio, which Chasles called the anharmonic ratio, he was anticipated by A. Moebius. However, it was chasles who developed the theory and showed that the use of sensed magnitudes and imaginary elements gives to geometry the freedom and power of analysis...3. (DSB III pp. 212/214)**1190.N2
Les groupes abéliens finis et les modules de points entiers
P., Gauthier-Villars, 1925; un volume in 8, broché, couverture imprimée, (petit manque de papier au dos), (2), 243pp
---- EDITION ORIGINALE**1198/o5ar+cav.fe
Leçons sur la théorie des nombres (modules, entiers algébriques, réduction continuelle) -- EDITION ORIGINALE
P.,, Gauthier-Villars, 1913, un volume in 8, broché, couverture imprimée, 10pp., 156pp.
---- EDITION ORIGINALE ---- BON EXEMPLAIRE**8283/CAV.G4
L'enseignement de la géométrie
P., Hermann, 1964, un volume in 8, relié en cartonnage éditeur, (6), 168pp., (5)
---- EDITION ORIGINALE ---- Axiomes d'incidence et d'ordre - Axiomes de structure affine - Axiomes de structure métrique - Les angles - Trigonométrie - Le cercle - L'espace - etc**5732/CAV.E4
Rendiconti. tome 32. 2ème semestre
Palermo, 1911, un volume in 8 relié en demi-chagrin rouge (reliure de l'époque), (2), 407pp.
---- ARTICLES ORIGINAUX de APPEL, BOHR, BOLZA, GODEAUX, LANDAU, NALI, PANNELLI, REMOUNDOS, WEYL, etc**1250/CAV.G3
Rendiconti. tome 35. 1er semestre
Palermo, 1913, un volume in 8, relié en demi-chagrin rouge (reliure de l'époque), (2), 399pp., demi-chagrin rouge. Articles originaux de Appel, De Franchis, Errera, Kasner, Landau, Levi, Nörlund, Pérès, Vivanti..
---- ARTICLES ORIGINAUX de APPEL, DE FRANCHIS, ERRERA, KASNER, LANDAU, LEVI, NORLUND, PERES, VIVANTI, etc**1251/CAV.G3
Leçons sur la géométrie recueillies et complétées par F. Lindemann, traduites par A. Benoist ---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE -- TRES BEL EXEMPLAIRE -- 3 VOLUMES (COMPLETE SET)
P., Gautier-Villars, 1879-1883, 3 VOLUMES in 8 reliés en demi-basane rouge, dos ornés de filets dorés (reliure de la première moitié du XXe siècle), T.1 : 10pp., (1), 386pp., T.2 : (3), 438pp., (1-errata), T.3 : 8pp., (1), 484pp., (1-errata)
---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE : "M. Lindemann... voulut bien m'avertir que certains passages de l'édition allemande avaient besoin de modifications, et m'adressa successivement un certain nombre de corrections et de changements. Il ne serait pas possible d'indiquer ici tous les passages modifiés ; c'est par la comparaison attentive des deux textes que le lecteur pourra se rendre compte de leurs différences...". (Préface du traducteur, tome 3) ---- TRES BEL EXEMPLAIRE ---- "CLEBSCH held, from 1858 to 1863, the chair of theoretical mechanics at the Polytechnicum in Carlsruhe. The study of Salmon's works led him into algebra and geometry. In 1863, he accepted a position at the University of Giesen, where he worked in conjunction with Paul Gordan. In 1868, CLEBSCH went to Göttingen and remained there until his death. He worked successively at the following subjects : mathematical physics, the calculus of variations and partial differential equations of the first order, the general theory of curves and surfaces, Abelian functions and their use in geometry, the theory of invariants and "Flächenabbildung". He proved theorems on the pentahedron enunciated by SYLVESTER and STEINER ; he made systematic use of "deficiency" as a fundamental principle in the classification of algebraic curves. At the beginning of his career, CLEBSCH had shown how elliptic functions could be advantageously applied to Malfatti's problem. The idea involved therein, viz. the use of higher transcendentals in the study of geometry, led him to his greatest discoveries. Not only did he apply Abelian functions to geometry but conversely, he drew geometry into the service of Abelian functions. His study of curves and surfaces began with the determination of the points of contact of lines which meet a surface in four consecutive points. CLEBSCH's investigaton theron is a most beautiful piece of analysis". (Cajori pp. 313/314) ---- DSB III pp. 313/315 ---- Séries de points et faisceaux de rayons - Les courbes du second ordre et de la seconde classe - Introduction à la théorie des formes algébriques - Théorie généale des courbes algébriques - Les courbes de troisième ordre ou de troisième classe - La géométrie sur une courbe algébrique et sa liaison avec la théorie des intégrales abéliennes - Les connexes **9043/N3
Traité de perspective pittoresque. Perspective du trait. Perspective de la lumière et de la couleur. Perspective du relief -- EDITION ORIGINALE -- BON EXEMPLAIRE RELIE EN PLEINE TOILE ROUGE EDITEUR
P., Renouard, 1913; un volume in 4 relié en,pleine toile éditeur rouge, (dos légèrement passé), (1), 7pp., (1pp.), 187pp., (1) ; 172pp., (1), 134pp., 417 GRAVURES dans le texte et 4 PLANCHES HORS TEXTE EN COULEURS
---- EDITION ORIGINALE ---- BON EXEMPLAIRE ---- Perspective centrale - Principes de la perspective linéaire - Emploi du géométral - Perspective des objets concrets - Réflexion - La lumière et l'ombre - La couleur - Perspective aérienne - Peinture représentative - Peinture décorative - Peinture murale - Vitrail - Affiche et enseigne - Diorama, panorama, colorama - Décors de théâtre - Vision du relief - Le bas-relief - Photogrammétrie - etc**1277/Q4-7589Q5AR
Commercium epistolicum J. COLLINS aliorum De analysi promota, etc ou correspondance de J. Collins et d'autres savants célèbres du XVIIe siècle relative à l'analyse supérieure réimprimée sur l'édition originale de 1712 avec l'indication des variantes de l'édition de 1722, complétée par une collection de pièces justificatives et de documents et publiée par J.B. BIOT et F. LEFORT -- PREMIERE EDITION FRANCAISE
P., Mallet-Bachelier, 1856, un volume in 4 relié en demi-toile noire, dos orné de filets dorés (reliure postérieure), 15pp., 293pp., (1)
---- PREMIERE EDITION FRANCAISE ---- Babson N° 189 : "The leibnitz-Newton controversy. A very complete compilation covering this famous controversy" ---- "This is the celebrated report drawn up by order of the Royal Society and consisting of a selection from the correspondence of John Collins with some of the most celebrated mathematicians of the time, which was to substantiate Keill's charges against Leibnitz of having derived the fundamental ideas of his calculus from papers by Newton, said to have been communicated to him through Collins and Oldenbrug. Although greatly biased in Newton's favour, the work is nevertheless a repertory of the utmost value to the history of science. It was not until De morgan reviewed the case (1846) that a greater spirit of fairness was shown. Probably both these great men had the same idea independently". (Babson N° 186 1712 london ed.)**7223/K1-7224/?
Calcul des triquaternions. Nouvelle analyse géométrique
slnc (circa 1900), un volume in 4, broché, couverture muette de l'époque, pp. 101/219
---- EDITION ORIGINALE**7337/N7DE
Cours d'arithmétique -- EDITION ORIGINALE -- BEL EXEMPLAIRE
P., Germer Baillière, 1882, un volume in 8 relié en demi-chagrin rouge, dos orné de caissons dorés (reliure de l'époque), (4), 440pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE**8746/N6DE
