‎Mathématiques‎

‎"LAGRANGE, JOSEPH LOUIS.‎

‎Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions et réduits à l'analyse algébrique des quantités finies. - [FOUNDATION OF ANALYSIS]‎

‎Paris, De L'Imprimerie de la République, An V (1797). 4to. Uncut and partially unopened. Contemporary manuscript-binding. Provenance: With the exlibris of Stillman Drake - one of the most renown Galileo scholars. Some light brown spotting through out. Otherwise a very good copy. (4),VIII,276 pp.‎

‎First edition, first printing. Several bibliographies mention that there are two issues of the first edition, with no priority established - one with 277 numbered pages and another with 276 numbered pages which compromises Vol. III of the ninth cahier of the 'Journal de l'Ecole Polytechnique' (see Norman 1258 for example). However, the second mentioned printing was first published in 1801 (See Prof. Craig G. Fraser's article in ""Landmark Writings in Western Mathematics 1640-1940"", pp. 258-276).Lagrange is the great formulizer of his time. In his masterpiece 'Méchanique Analytique' from 1788 he freed Newtonian mechanics from synthetic and geometrical reasoning by reducing the theory of mechanics and the art of solving problems in that field to the mere solution of general formulas. In this work, the 'Théorie des fonctions analytiques', Lagrange attempted to give calculus an algebraic foundation and avoid the employment of infinitely small quantities. In this work Lagrange developed a systematic foundation of the calculus. Throughout the eighteenth century a critical attitude had developed both within mathematics and within general scientific culture. Bishop George Berkeley had already in 1734 in his work 'The Analyst' called attention to what he perceived as logical weaknesses in the reasonings of the calculus arising from the employment of infinitely small quantities. And by the end of the century a growing interest in the foundations of analysis was reflected in the decisions of the academies of Berluin and Saint Petersburg to devote prize competitions to the metaphysics of the calculus and the nature of the infinite. In Original contributions: Lagrange's conception of theorem-proving in analysis" his derivation of what is today called the Lagrange remainder in the Taylor expansion of a function his formulation of the multipiler rule in the calculus of variations and his account of sufficiency questions in the calculus of variations.Barchas 1198. Riccardi I (2), 3. Norman 1258. Honeyman 1881, Stanitz ,‎

Riferimento per il libraio : 35989

‎"LA GRANGE (LAGRANGE), JOSEPH LOUIS.‎

‎Two Papers. 1. Sur une Nouvelle Espece de Calcul rélatifs à différentiation & à l'intégration des quantités variables. - 2. Sur la Forme des Racines Imaginaires des Equations. - [A NEW FOUNDATION OF THE CALCULUS]‎

‎(Berlin, Ch. Fr. Voss, 1774). 4to. Large uncut copy, broadmargins, without wrappers as issued in ""Nouvaux Memoires d l'Academie Royale des Sciences et Belles-Lettres. Année 1772."" pp. 185-221 and pp. 222-258.‎

‎First edition of these two important papers. In the first paper ""Sur une Nouvelle Espece de Calcul..."" he made the most ambitious attempt to rebuild the foundation of the calculus. The paper is in fact an outline of his ""Theorie des functions"", issued later in 1797.""This work greatly impressed Lacroix, Condorcet and Laplace. Based on the analogy between powers of biniminals and differentials, it is one of the sources of the symbolic calculuses of the nineteenth century. A typical example of Lagrange's thinking as an analyst in this sentence taken form the memoir: ""Although the principle of the analogy (between powers and diffrentials) is nor self-evident, nevertheless, since the conclusions drawn from it are not thereby less exact, I shall make use of it to discover various theorems...""""(Jean Itard in DSB). The second paper ""Sur la Forme...""When D'Alembert red the paper he gave the following respons:""Your demonstration on imaginary roots seem to me to leave nothing to be desired, and I am very much obliged to you for the justice you have rendered to mine, which, in fact, has the minor fault (pwerhaps more apparant than real) of not being direct, bu which is quite simple and easy. D'Alembert was alluding to his Cause de vents (1747).""(DSB).‎

Riferimento per il libraio : 38985

‎"LANDSBERG, GEORG.‎

‎Über die Krümmung in der Variationsrechnung.‎

‎Leipzig, B. G. Teubner, 1908. 4to. In ""Mathematische Annalen"", 65. Band, 3 Heft, 1865"". In the original printed wrappers, without backstrip. Front wrapper with small stamp to lower part, otherwise fine and clean. [Clebsch:] Pp. 313-349. [Entire issue: Pp. 331-432].‎

‎First printing of Polish mathematician Landsberg's paper on the curvature of calculus of variations" a topic originating in the brachistochrone curve problem raised by Johann Bernoulli (1696).‎

Riferimento per il libraio : 47284

‎"LA GRANGE (LAGRANGE), JOSEPH LOUIS.‎

‎Sur L'Integration des Equations à differences partielle du premier ordre. - [A MASTERPIECE OF ANALYSIS]‎

‎(Berlin, C.F. Voss, 1774). 4to. Uncut with wide margins, without wrappers as issued in ""Nouveaux Memoires de L'Academie Royales des Sciences et Belles- Lettres"", Année MDCCLXXII, pp. 353-372.‎

‎"LA GRANGE (LAGRANGE), JOSEPH LOUIS. - MAXIMA AND MINIMA.‎

‎Sur les Courbes Tautochrones. (and ) Nouvelles Réflexions sur les Tautochrones. - [THE CALCULUS OF VARIATIONS]‎

‎(Berlin, Haude et Spener, 1767 and Berlin, Ch. Fr. Voss, 1774). 4to. Without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"" Tome XXI, pp. 364-380 and "" Nouveau Mémoires..."", pp. 97-122.‎

‎"LACROIX, (SYLVESTRE FRANCOIS).‎

‎Weitere Ausführung zu Lacroix's Geometrie oder versuch einer Geometrie über die ebnen und krummen Oberflächen, nebst Anfangsgründen der Perspektive zum besonern Gebrauch für Archotekten, und für die ausübenden Messkünstler überhaupt. Aus dem Französis...‎

‎Berlin, Heinrich Frölich, 1806. Contemp. hcalf, spine gilt. Stamp on titlepage. XXXVI,166,(2) pp. and 10 folded engraved plates. Titlepage brownspotted. Some scattered brownspots. Plates clean.‎

‎"LAGRANGE, (LA GRANGE), JOSEPH LOUIS. - A BREAKTHROUGH IN ""THE THEORY OF EQUATIONS"".‎

‎Sur la Résolution des Équations Numériques. (On the Solution of numerical Equations).‎

‎(Berlin, Haude et Spener, 1769). 4to. Without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Année 1767, Tome XXXIII, pp. 311-352.‎

‎"LAGRANGE, (LA GRANGE), JOSEPH LOUIS. - LAGRANGE'S CONTINUED FRACTIONS.‎

‎Additions au Mémoire Sur la Résolution des Équations Numériques.‎

‎(Berlin, Haude et Spener, 1770). 4to. Clean and fine without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Tome XXIV, pp. 111-180. With titlepage to ""Classe de Mathematique"".‎

‎"LAGRANGE, JOSEPH LOUIS.‎

‎Nouvelle Méthode pour Résoudre les Problemes indéterminés en Nombre entiers.‎

‎(Berlin, Haude & Spener, 1770). 4to. No wrappers, as issued in ""Memoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XXIV, pp. 181-250. Clean and fine.‎

‎"LAGRANGE, JOSEPH LOUIS.‎

‎Sur la Force des ressorts pliés. (+) Sur le Probleme de Kepler. (2 Memoirs).‎

‎(Berlin, Haude et Spener, 1771). 4to. No wrappers, as issued in ""Mémoires des l'Academie Royale des Sciences et Belles-Lettres"", tome XXV, pp. 167-203 a. pp. 204-233 a. 1 folded engraved plate. With titlepage to ""Classe de Mathematique.""‎

‎"LAMBERT, JOHANN HEINRICH [NON-EUCLIDEAN GEOMETRY].‎

‎Observations Trigonometriques. - [FORESHADOWING NON-EUCLIDEAN GEOMETRY]‎

‎(Berlin, Haude & Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles Lettres"", tome XXIV, pp. 327-354 and 1 engraved plates.‎

‎"LAMBERT, JOHANN HEINRICH.‎

‎Mémoire sur quelques Propriétés remarquable des Quantités transcendentes circulaires et logarithmiques. - [LAMBERT'S CONTINUED FRACTIONS AND IRRATIONALITY OF ""N""]‎

‎(Berlin, Haue et Spener, 1768). 4to. No wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XVII, pp. 265-322 and 1 folded engraved plate.‎

‎"LAMBERT, JOHANN HEINRICH.‎

‎Solution générale et absolue du problème de Trois Corps, moyennant des suite infinies. - [THE THREE BODY PROBLEM]‎

‎(Berlin, Haude et Spener, 1769). 4to. Without wrappers as extracted from ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome XXIII. Pp. 353-364.‎

‎"LAMBERT, JOHANN HEINRICH. - ESTABLISHING A MATHEMATICAL THEORY OF ORDER.‎

‎Essai de Taxéométrie ou sur la mesure de l'Ordre.‎

‎Berlin, C.F. Voss, 1772. 4to. Without wrappers as extracted from ""Nouveaux Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Annee 1770. With titlepage to 1770 with engraved vignette. Pp. 327-342.‎

‎"LAMÉ, GABRIEL. - PROVING FERMAT'S LAST THEOREM FOR n=7.‎

‎Mémoire sur la dernier théoreme de Fermat.‎

‎(Paris, Bachelier), 1839. 4to. No wrappers. Extracted from ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome IX. Pp. 45-46.‎

‎"LAPLACE, (PIERRE SIMON).‎

‎Recherches 1.o. sur l'intégration des Équations différentielles aux différences finies, & sur leur usage dans la théorie des hasards. 2.o. sur le principe de la Gravitation universelle, & sur les inégalités séculaires des Planètes qui en dépendent.‎

‎(Paris, Imprimerie Royale, 1776). 4to. Extract from ""Mémoires de Mathematique et de Physique, Présentés à l'Academie des Sciences par divers Savans"", Année 1773. Pp. 37-232. a. 1 folded engraved plate. Clean and fine.‎

‎"LAUREMBERG, JOANNE (HANS WILLUMSEN). - TEACHING MATHEMATICS IN DENMARK.‎

‎Lusus et Recreationes ex Fundamentis Arithmeticis depromptæ.‎

‎Hafniæ (Copenhagen), Melchior Martzan, 1634. Lille 8vo. Lidt senere hldrbd. Let rygforgyldning. Rester af titeletiket. Ryg lidt slidt. (4),54,(2) pp., 1 kobberstukket planche. De første blade løse. Mangler blad A8 (Pp. 11-12).‎

‎"LEMOINE, ÈMILE.‎

‎De la mesure de la simplicité dans les constructions géométriques.‎

‎(Paris, Gauthier-Villars), 1888. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 107, No 3. Pp. (157-) 199. (Entire issue offered). Lemoine's paper: pp. 169-171.‎

‎First appearance of the paper in which Lemoigne ""assigns a measure of simplicity to geometrical constructions, based on the number of times each of the five elementary operations (such as placing one end of a compass on a given point) is employed."" (Parkinson ""Breakthroughs"" 1888 M‎

Riferimento per il libraio : 48184

‎"LERAY, JEAN. - A TURNING POINT IN TOPOLOGY.‎

‎L'anneau d'homologie d'une représentation. (+) Structure de l'anneau d'homologie d'une représentation. (2 papers).‎

‎(Paris, Gauthier-Villars), 1946). 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 222, No 24 a. 25. Pp. (1361-) 1416 a. pp. (1417-) 1464. (2 entire issues offered). Leray's papers: pp. 1366-1368 a. pp. 1419-1422.‎

‎First printing of these two landmark papers in topology. Dieudonné later wrote ""undoubtly rank (the papers) at the same level in the history of mathematics as the methods invented by Poincaré and Brouwer"".""These two Comptes Rendus notes of Leray from 1946 introduced the novel concepts of sheafs, sheaf cohomology, and spectral sequences, which he had developed during his years of captivity as a prisoner of war. Leray's announcements and applications (published in other Comptes Rendus notes from 1946) drew immediate attention from other mathematicians. Subsequent clarification, development, and generalization by Henri Cartan, Jean-Louis Koszul, Armand Borel, Jean-Pierre Serre, and Leray himself allowed these concepts to be understood and applied to many other areas of mathematics....."" (List of importent publications in mathematics).‎

Riferimento per il libraio : 49676

‎"LEBESGUE, HENRI.‎

‎Lecons sur L'integration et la Recherce des Fontions primitives.‎

‎Paris, Gauthier-Villars, 1904. Uncut in orig. printed wrappers. Wrappers a little soiled. Backstrip repaired with paper pasted on, reaching inner margin of frontwrapper. Internally clean. VIII,138 pp.‎

‎First edition of Lebesgue's lectures on integration, held 1902-03 at Cours Peccot at the Colege de France, summing up his work on the Lebesgue Integral, which is now considered definitive.""Although Lebesgue was primarely concerned with his own theory of integration, he played a role in bringing about the development of the abstract theorie of measure andd integration that prdominate in contemporary mathematical research.""(Thomas Hawkins in DSB).‎

Riferimento per il libraio : 38727

‎"LEBESGUE, HENRI.‎

‎Recherches sur la Convergence des Séries de Fourier.‎

‎Leipzig, B. G. Teubner, 1905. 8vo. Bound in contemporary half calf with gilt lettering to spine. In ""Mathematische Annalen, 61. Band, 2. Heft, 1905"". Entire volume 61 offered. Wear to extremities. Book plate to pasted down front free end-paper and library stamp to verso of title page. Pp. 251-80. [Entire volume: IV, 588 pp.].‎

‎First printing of Lebesque's paper in which he extended and accepted Fourier's work that stated that any arbitrary function, defined in a finite interval, can be expressed as a sum of sine and cosine functions: ""In 1905 Lebesgue gave a new sufficient condition for the convergence of the Fourier series to a function f(x) that include all previously known conditions"". (Kleine, P. 1047)‎

Riferimento per il libraio : 47379

‎"LEVI-CIVITA, T. [TULLIO].‎

‎Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili.‎

‎Leipzig, B.G. Teubner, 1904. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 59. Band. 3. Heft.""Entire issue offered. Internally very fine and clean. [Levi-Civita:] Pp. 383-387. [Entire issue: Pp. 321-448].‎

‎First printing of Levi-Civita's paper on the integration of the Hamilton-Jacobi equation.""Levi-Civita’s approximately 200 memoirs in pure and applied mathematics deal with analytical mechanics, celestial mechanics, hydrodynamics, elasticity, electromagnetism, and atomic physics."" (DSB).‎

Riferimento per il libraio : 44726

‎"LEUPOLD, JACOB. & ERNST SCHEFFLER.‎

‎Theatrum arithmetico geometricum, das ist: Schau-Platz der Rechen- und Mess-Kunst, ... [With:] Theatri machinarum supplementum das ist: Zusatz zum Schau-Platz der Machinen und Instrumenten, ... - [THE ART OF CALCULATION AND MEASUREMENT]‎

‎Leipzig: Christoph Zunkel and Bernhard Christoph Breitkopf, 1727-1739. Folio. (372x239mm). Two parts in one volume. Contemporary vellum, two cuts in spine, modern slip case. Provenance: Book plates of Arnaud de Vitry and Andras Gedeon. Stamps to half-title and title-page, from Stadtbibliothek Augsburg - sold as duplicate. First part: (14], 200, (4) pp. and 45 plates, numbered I-XLIII (plate III with volvelle). Second part: (12), 100, (94) pp. and 40 plates on 36 sheets, numbered I-XL. All plates intact. An exceptionally fine copy.‎

‎The scarce first edition of the of the eighth and tenth volumes (each volume being a complete work in itself) of Leupold's magnificent ten-volume ""Theatrum Machinarum"" - one of the first encyclopedias of technology, being the most complete and the most extensively illustrated work on mechanical engineering published hitherto. Complete sets of Leupold's Theatrum are virtually never found and Ferguson stated in his bibliography of technology that he had never seen a complete set. Each volume is complete in itself. The eighth volume is of particular interest in the history of computers, as it deals mainly with calculating machines. This volume contains detailed descriptions of the calculating machines of Schott (1668), Grillet (1673), Leibniz (1674), Poleni (1709), and Leupold himself. The tenth volume is a supplement to the series published after Leupold's death by Ernst Scheffler. It deals with odometers, gyrometers, step counters and other devices for the measurement of distances. This volume is furthermore of importance, because it contains the 90 page general index to the entire series. Hook & Norman: Origins of Cyberspace, no. 6 (volume 8 only).Honeyman Sale, lot 1997 (volume 7 and 8).Macclesfield Sale, lot 1242 (volume 8 only).Ferguson: Bibliography of the History of Technology, pp.45-46.Wolf: A History of Science, Technology, & Philosophy in the 18th Century, pp.657-8.‎

Riferimento per il libraio : 35955

‎"LE CLERC, SEBASTIEN (LECLERC). - GEOMETRY AND PERSPECTIVE IN 80 COPPERPLATES.‎

‎Practical Geometry: or a New and Easy Method of Treating that Art. Whereby the Practice of it is render'd plain and familiar, and theStudent is directed in the most easy manner thro' the several Parts and Progessions of it. Translated from the Fren...‎

‎London, T. Bowles, 1727. Small 8vo. Contemp. full calf, raised bands, blindtooled covers (Cambridge-binding). Wear to spine ends and spine. Hinges weakening, but still holding. Titlepage in red/black. (2),195,(6) pp. and 80 full page engraved illustrations. Some soiling and browning, mainly marginal, last 10 engravings with a faint dapmstain. The charming plates are engraved by Leclerc.‎

‎"LEBESGUE, HENRI.‎

‎Lecons sur L'integration et la Recherce des Fontions primitives.‎

‎Paris, Gauthier-Villars, 1904. Uncut in orig. printed wrappers. Wrappers a little soiled. Backstrip repaired with paper pasted on, reaching inner margin of frontwrapper. Internally clean. VIII,138 pp.‎