‎Introduction géométrique à quelques théories physiques -- EDITION ORIGINALE‎

‎P., Gauthier-Villars, 1914; un volume in 8, broché, couverture imprimée, 7pp., 137pp., (1)‎

‎---- EDITION ORIGINALE ---- BON EXEMPLAIRE ---- "Borel was the most successful mathematician of his generation in using specific problems and results as scientific parables pointing the way to broad theories that still remain fertile...". (DSB II pp. 302/305)**692/N7DE-8465/ARB.1‎

‎Notes de bibliographie des courbes géométriques -- EDITION ORIGINALE -- TRES RARE‎

‎Bar-Le-Duc, Imprimerie et lithographie Comte-Jacquet-Facdouel, 1897/1899, 2 TOMES reliés en un volume in 8, demi-chagrin rouge (reliure de l'époque), (1 mors légèrement fendu), (11), 296pp., XXXpp., (4), 243pp.‎

‎---- EDITION ORIGINALE ---- CET OUVRAGE, TIRE A 50 EXEMPLAIRES, NE FUT JAMAIS COMMERCIALISE ---- EDITION ORIGINALE LITHOGRAPHIEE d'après le manuscrit de l'auteur ---- EXTREMEMENT RARE ---- BON EXEMPLAIRE ---- BIEN COMPLET DES 2 PARTIES QUI COMPOSENT CET OUVRAGE ---- ENVOI DE BROCARD A L'HISTORIEN DES MATHÉMATIQUES Jacques BOYER ainsi libellé : "Souvenir affectueux de l'auteur - signé BROCARD" ---- "Brocard's most extensive publication was a large, two-part work. The first part of the earlier work apeared in 1897 and the second in 1899. Probably no more than about fifty copies of this work were prepared, lithographed in the printscript of the author, and privately distributed. The Notes may be regarded as a source book of geometric curves, with a pinstakingly prepared index containing more than a thousand named curves. The text consists of brief descriptive paragraphs, with diagrams and equations of these curves...". (DSB II pp. 478/480)**7587/7590.arm1D‎

‎Les étapes de la philosophie mathématique -- EDITION ORIGINALE‎

‎P., Alcan, 1912, un volume in 8 relié en demi-toile verte (reliure modeste de l'époque), (rousseurs), 11pp., 591pp.‎

‎---- EDITION ORIGINALE ---- "Brunschvicg's influence is easily recognized in all types of thinkers : such moralists as René Le Senne and Georges Bastide, such aestheticians as Joseph Segond and Valentin Feldmann and particularly such epistemologists as Gaston Bachelard, Robert Blanché, Jean Cavaillès, Alexandre Koyré and Albert Lautmann... According to a contemporary mathematician, André Lichnérowicz, in Les étapes, which is probably the last book to treat of mathematical philosophy, Bunrschvicg foresax the resolutely nonontological orientation and the unification - through the study of algebraic-topological structures - of today's mathematics". (DSB II p. 546) ---- L'éthnographie et les premières opérations numériques, un problème d'Ahmès, l'arithmétisme des pythagoriciens, le mathématisme des platoniciens, la naissance de la logique formelle, la géométrie euclidienne, la géométrie analytique (Fermat, Descartes), la philosophie mathématique des cartésiens, analyse infinitésimale (l'Antiquité, La géométrie des indivisibles et l'algorithme leibnizien : Viète et Kepler, Cavalieri, Pascal, de Fermat à Newton - etc**953/K3‎

‎Formules stokiennes‎

‎P., Gauthier-Villars, 1926, un volume in 8, broché, couverture imprimée, 60pp.‎

‎---- EDITION ORIGINALE**974/o7AR‎

‎Séries analytiques. Sommabilité‎

‎P., Gauthier-Villars, 1925, un volume in 8, broché, 55pp. ‎

‎---- EDITION ORIGINALE**971/o7AR+CAV E2‎

‎Calcul des variations. Exposé théorique et pratique illustré par des exemples développés et des exercices à résoudre empruntés à la géométrie, la mécanique, la physique et l'astronomie. Traduit de l'anglais par A. Sallin ‎

‎P., Gibert, 1935, un volume in 8, broché, 48pp.**984/o5ar+cav E4 ‎

‎Théorie des nombres - I. Le premier degré - II. Le second degré binaire -- EDITION ORIGINALE -- 2 TOMES RELIES EN 3 VOLUMES (COMPLETE SET)‎

‎P., Hermann, 1914/1924, 2 TOMES RELIES EN 3 VOLUMES in 8, pleine toile rouge (reliures de l'époque) T.1 : 12pp., 408pp., T.2 : 10pp., 736pp.‎

‎---- EDITION ORIGINALE de ce cours donné par CAHEN à la Faculté des sciences de Paris ---- Dickson "history of numbers" tomes 1, 2 & 3**1007/N4‎

‎Théorie des nombres -- T.1 : le premier degré - T.2 : Le second degré binaire -- EDITION ORIGINALE -- 2 TOMES RELIES EN 3 VOLUMES (COMPLETE SET)‎

‎P., Hermann, 1914/1924, 2 TOMES reliés en 3 volumes in 8, pleine toile rouge, T.1 : 12pp., 408pp., T.2 : 10pp., 736pp.‎

‎---- EDITION ORIGINALE ---- Dickson "History of numbers, tomes 1, 2, 3**7513/N4+1007/CAV.F3‎

‎Théorie générale de l'équation de Mathieu et de quelques autres équations différentielles de la mécanique -- PREMIERE EDITION FRANCAISE -- BEL EXEMPLAIRE‎

‎P., Masson, 1955, un volume in 8 relié en pleine toile éditeur, 271pp.‎

‎---- PREMIERE EDITION FRANCAISE ---- BEL EXEMPLAIRE ---- DSB III p. 32**1031/N5DE/M6AR‎

‎Analyse indéterminée. Triangles rationnels. Equations du second degré. Equations des 3e et 4e degrés et d'un degré supérieur au 4e degré. Dernier théorème de Fermat. Equations fonctionnelles. Traduit de l'anglais par A. Sallin -- PREMIERE EDITION FRANCAISE‎

‎P., PUF, 1929, un volume in 8, broché, 10pp., 127pp.‎

‎---- PREMIERE EDITION FRANCAISE ---- P., PUF, 1929, un volume in 8, broché, 10pp., 127pp. ---- Cajori p. 391**1048/N7DE+CAV.G3(2)+CAV.E5(3)‎

‎De la corrélation des figures de géométrie -- EDITION ORIGINALE -- BEL EXEMPLAIRE‎

‎P., Crapelet, 1801, un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés, fers doré sur le premier plat, 8pp. (reliure de la deuxième moitié du XIXe siècle), 188pp., 4 PLANCHES dépliantes‎

‎---- EDITION ORIGNALE ---- BEL EXEMPLAIRE de prix offert par M. Toussenel, censeur du lycée Condorcet, en 1863 ---- "LE CREATEUR AVEC MONGE DE LA GEOMETRIE MODERNE" ---- "IMPORTANT CONTRIBUTION TO MODERN GEOMETRY". (Cajori) ---- "Carnot's main geometric writings were motivated largely by the attempt to make reasonable the employment of unreasonable quantity in analysis, although with the focus on negative rather than infinitesimal quantity... De la corrélation des figures de géométrie of 1801 and its extension, the Géométrie de position of 1803, constituted his most significant clarification of the procedures of mathematics. Carnot found absurd the notion that a quantity itself could be less than zero... He insisted in Corrélation des figures on distinguishing between a quantity properly speaking and the algebraic value of a function. It was equally unacceptable to interpret the minus sign as meaning simply that a quantity was to be taken in a direction opposite to a positive one... By correlative systems Carnot meant all those that could be considered as different states of a single variable system undergoing gradual transformation. It was not necessary that all correlative systems should actually have been evolved out of the primitive system. It sufficed that they might be assimulated to it by changes involving no discontinuous mutations. The whole topic may be taken as the geometric operation of Carnot's favorite reasoning device - a comparison of systems between which the nexus of change is a continuum...". (DSB III pp. 76/77)**1059/ARM1D+1056/ARM4+1055/ARM4‎

‎Réflexions sur la métaphysique du calcul infinitésimal‎

‎P., Bachelier, 1839, un volume in 8 relié en demi-chagrin marron, dos orné de fers dorés, (reliure de l'époque), (quelques rousseurs), (2), 254pp., 1 planche dépliante, .‎

‎---- BON EXEMPLAIRE ---- Troisième édition ---- Ex-libris manuscrit dans la marge du faux-titre R.Arnoux ---- "Carnot's Réflexions sur la métaphysique du calcul infinitésimal frankly acknowledged the difficulties that infinitesimal analysis raises for common sens and although it was, reserved to the reforms initiated by Cauchy, Bolzano and Gauss to put the calculus on a rigorous footing. The genious of infinitesimal calculus in Carnot's account, lay in its capacity to compensate in its own procedures for errors that it deliberately admitted into the process of computation for the purpose of faciliting a solution...". (DSB III p. 75)**1051/k3+1052/cav.G2+7314/ARB4‎

‎Réflexions sur la métaphysique du calcul infinitésimal‎

‎P., Blanchard, 1970; un volume in 8, broché, couverture imprimée, 15pp., 154pp.‎

‎---- Nouveau tirage augmenté d'une préface de M. Marcel Mayot ---- "Carnot's Reflexions sur la métaphysique du calcul infinitésimal is frankly acknowledged the difficulties that infinitesimal analysis raises for common sense, and although it was received to the reforms initiated by Cauchy, Bolzano and Gauss to put the calculus on a rigorous footing... The genius of the infinitesimal calculus, in Carnot's account, lay in its capacity to compensate in its own procedures for errors that it deliberately admitted into the process of computation for the purpose of facilitating a solution...". (DSB III p. 75)**5969/M7DE‎

‎Cours de géométrie descriptive (droite et plans - Cones, cylindres, sphères) -- 2 VOLUMES : 1 volume de texte et 1 atlas comprenant 36 PLANCHES DEPLIANTES -- COMPLETE SET‎

‎ P., Alcan, 1891/1894; 2 vol. de texte et 1 atlas reliés en 2 volumes in 8 reliés en pleine basane bleue marine, dos ornés de filets dorés (reliures de l'époque), (dos légèrement frottés, cachets de bibliothèque), T.1 : (2), 182pp., T.2 : (2), 152pp., Atlas : (2), 18 planches dépliantes, (2), 18 planches dépliantes, SOIT 36 PLANCHES DEPLIANTES‎

‎---- J. Caron, ancien élève de l'Ecole Normale Supérieure, agrégé des sciences mathématiques, fut directeur des travaux graphiques à l'Ecole Normale Supérieure et professeur de géométrie descriptive au lycée Saint-Louis**1060/P5DE‎

‎Exposé de géométrie. Les espaces métriques fondés sur la notion d'aire -- EDITION ORIGINALE‎

‎P., Hermann, 1933, un volume in 8 broché, couverture imprimée, 44pp.‎

‎---- EDITION ORIGNALE ---- "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)**6958/o5ar+cav/f4‎

‎Exposés de géométrie. Les espaces métriques fondés sur la notion d'aire. Les espaces de Finsler‎

‎P., Hermann, 1971, un volume in 8, broché, couverture imprimée, 94pp., (1)‎

‎---- "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)**1068/6946/o5ar‎

‎Les espaces de Finsler -- EDITION ORIGINALE‎

‎P., Hermann, 1934; . P., Hermann, 1934; in 8, 42pp., broché, couverture imprimée‎

‎---- 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) **6949/o5ar+cav/f4(2)‎

‎Les groupes de transformations continus, infinis, simples -- EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) des Annales scientifiques de l'Ecole normale supérieure, tome 26‎

‎P., Gauthier-Villars, 1909? un volume in 4, broché, couverture imprimée, pp. 94/156‎

‎EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) des Annales scientifiques de l'Ecole normale supérieure, tome 26 ---- "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)**1078/o5ar‎

‎Les groupes projectifs continus réels qui ne laissent invariante aucune multiplicité plane -- EDITION ORIGINALE ---- TIRE-A-PART (OFFRINT) du Journal de mathématiques pures et appliquées‎

‎P., Gauthier-Villars, 1914, un volume in 4, broché, couverture imprimée, pp. 149/186‎

‎---- EDITION ORIGINALE ---- TIRE-A-PART (OFFRINT) du Journal de mathématiques pures et appliquées ---- "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)**1079/6936/o5ar‎

‎Les groupes réels simples, finis et continus -- EDITION ORIGINALE -- TIRE-A-PART (OFFRPINT) des annales scientifiques de l'Ecole normale supérieure, tome 31‎

‎P., Gauthier-Villars, 1914, un volume in 4, broché, couverture imprimée, (deuxième plat de couverture légèrement défraîchie), pp. 263/355‎

‎---- EDITION ORIGINALE ---- TIRE-A-PART (OFFRPINT) des annales scientifiques de l'Ecole normale supérieure, tome 31 ---- "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)**1076/6939/o5ar‎

‎Les systèmes de Pfaff à cinq variables et les équations aux dérivées partielles du second ordre -- EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) des Annales scientifiques de l'Ecole normale supérieure, tome 27‎

‎P., Gauthier-Villars, 1910, un volume in 4, broché, couverture imprimée, pp. 109/192‎

‎---- EDITION ORIGINALE ---- TIRE-A-PART (OFFPRINT) des Annales scientifiques de l'Ecole normale supérieure, tome 27 ---- Cachet de la bibliothèque de Pierre Theis sur le premier feuillet blanc de garde ---- "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)**1077/6938/o5ar‎

‎Leçons sur la théorie des espaces à connexion projective -- EDITION ORIGINALE‎

‎P., Gauthier-Villars, 1937, un volume in 8, broché, couverture imprimée, 6pp., 308pp.‎

‎---- EDITION ORIGINALE ---- "Cartan's mathematical work 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)**6952/cav.f4‎

‎Sur l'intégration de certains systèmes de Pfaff de caractère deux -- EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) du Bulletin de la Société mathématique de France, tome 29‎

‎P., Société mathématique de France, 1901, un volume in 8, broché, couverture imprimée, 71pp.‎

‎---- EDITION ORIGINALE ---- TIRE-A-PART (OFFPRINT) du Bulletin de la Société mathématique de France, tome 29 ---- "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)**6940/o5ar‎

‎Sur l'équivalence absolue de certains systèmes d'équations différentielles et sur certaines familles de courbes -- EDITION ORIGINALE -- TIRE-A-PART (OFFPRINT) du Bulletin de la Société mathématique de France‎

‎P., Société mathématique de France, 1914, un volume in 8, broché, 36pp.‎

‎---- EDITION ORIGINALE ---- TIRE-A-PART (OFFPRINT) du Bulletin de la Société mathématique de France ---- "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)**1066/6950/o5ar+cav/e4‎

‎Sur les groupes de transformations analytiques‎

‎P., Hermann, 1935, un volume in 8, broché, couverture imprimée, 53pp., (1)‎

‎---- EDITION ORIGINALE ---- "Henri Cartan, fils d'Elie Cartan, a été l'un des membres fondateurs du groupe Bourbaki. Il unifie par ses travaux les domaines de la géométrie différentielle, de la théorie des fonctions analytiques et de la topologie algébrique**1069/o5ar‎