BERNOULLI JOHANN 1667 1748 (4 résultats)

19. Lausanne et Genève, Sumptibus Marci-Michaelis Bousquet & Sociorum, 1742, 4 vols in-4°, 4 title pages printed in red and black with copper engraved vignette. Title + xxiv pp + 563 pp + 23 folding engraved plates numbered I - XXIII ; title + 620 pp + plates XXIII - XL ; title + 563 pp + plates XLI - LXXVI ; title + pp 5-588 + plates LXXVII - XCI. (Fourth volume starts exceptionally with page 3 as the Norman copy). Our copy is complete except for the two portraits which are lacking (portrait of Bernoulli and portrait of Frederic III king of Prussia). Uniform 19th century black cloth with smooth back and red cloth title label, sprinkled edges, ex-library K.K. Génie-Academie-Bibliothek, small oval 19th century stamps on title and on the verso side of the plates, some clear waterstains on pages 120-140 of volume II and on the first 35 pages of volume III. In all a reasonably good and acceptable copy complete but for the two portraits. This first edition of the collective works of Jean Bernoulli comprises 189 of his papers and 59 of his lectures. It was edited by Gabriel Cramer. After Newton and Leibniz Bernoulli was the leading mathematician to work on and to develop the differential and integral calculus. Most of the first volume is devoted to these texts. Volume II and III contain mainly his texts on mechanics. Volume four has the first printing of ''Hydraulica'' on which he worked in competition with his son Daniel. See e.g. Roberts & Trents; Bibliotheca Mechanica pp. 36-37, Poggendorff I 157-59. Norman 217, Honeyman sale item 293.

Hardcover. Etat : Good. First Edition. [First Collected edition - History of Differential and Integral Calculus] 4 volume set. Quartos, 25 x 20 cm. Bound in contemporary 1/4 calf over paste-boards. Restored binding. 91 engraved folding plates. Lacking half-titles and 2 portraits (commonly absent). [4], xxiv, 563, [1]; [2], 620; [2], 563, [1]; [3]-588 pages. Titles in red and black, with engraved vignettes. Scattered foxing, staining. Generally clean internally. "Bernoulli published only one book, Theorie de la manoeuvre des vaisseaux (1714) and apart from this, his dissertation De motu musculorum (1694) and one or two minor pieces, all his work was contributed to journals (189 papers are collected here) or were first published in these volumes, i.e. 59 of his lectures and the Hydraulica in volume IV [appearing here for the first time in print], which was written in competition with his son Daniel." - Roger Gaskell. Bernoulli's "chief discoveries are [in] exponential calculus, the treatment of trigonometry as a branch of analysis, the conditions for a geodesic, the determination of orthogonal trajectories, the solution of the brachistochrone, the statement that a ray of light traversed such a path that Smds [Greek] is a minimum, and the enunciation of the principle of virtual work . The general adoption on the continent of the differential rather than the fluxional notation was largely due to his influence." Ball, A Short Account of the History of Mathematics, p. 368. The first volume is primarily devoted to geometry and calculus, muscular mechanics, resistance of solids, and the geometric motion of pendulums and projectiles. The second and third volumes deal with mechanics, maneuvering vessels and the analysis of trajectories. The forth volume deals contains the first printing of his Hydraulica, co-written by his son. Refs: Bibliotheca Mechanica, page 36-37; Brunet 1:803; Honeyman 293; Norman 217; Poggendorff I 157-59. Early 20th century book plate of Frank L. Miller, Brooklyn. This is an oversized or heavy book, which requires additional postage for international delivery outside the US.

4 volumes. Large 4to. Engraved frontis., engraved title vignettes, 91 engraved folding plates, titles printed in red and black. Fine contemporary mottled vellum over boards, spines gilt; minor binding defects, very slight worming to final leaves of index of vol. 4. Small Jesuit library stamp on titles. Near fine. First edition, a lovely set. Bernoulli rose to fame, along with his brother Jakob, for his investigations into the then-new fields of differential and integral calculus. Most of Bernoulli's writing appeared only in the journals of the time, and remained uncollected until the present edition. / "His chief discoveries are the exponential calculus, the treatment of trigonometry as a branch of analysis, the conditions for a geodesic, the determination of orthogonal trajectories, the solution of the brachistochrone, the statement that a ray of light traversed such a path that Smds [in Greek] is a minimum, and the enunciation of the principle of virtual work . . . The general adoption on the continent of the differential rather than the fluxional notation was largely due to his influence." â Â" Ball, A Short Account of the History of Mathematics, p. 368. / ". . .the first edition of [Johann] Bernoulli's collected works brings together 189 of his papers and 59 of his lectures. The first volume is primarily devoted to problems in geometry and the early calculus, but also contains papers on muscular mechanics, the resistance of solids, and a geometrical demonstration of the motion of pendulums and projectiles in resisting and unresisting media. Volumes two and three are almost totally devoted to problems of mechanics, the first of these containing his theoretical essay on the maneuvering of vessels and related papers, as well as numerous contributions on the analysis of trajectories. His discourse on the laws governing the communication of movement opens volume three, which also contains his essay on celestial mechanics. The last volume contains contributions on the curvature of elastic plates, his mecanico-dynamical propositions, and problems in dynamics. Most important, its appearance in this volume represents the first printing of the Hydraulica, which was written in competition with his son, Daniel." â Â" Bibliotheca Mechanica, pp. 367-37. REFERENCES: Roberts & Trent, Bibliotheca Mechanica pp. 36-37; DSB; Honeyman; 293; Norman 217; Poggendorff I 157-59.

unbound. Etat : very good. Rare L.S. in French, signed "J. Bernoulli Pere", 4to. 1 page, Basal, December 26th 1745, (translated), writing to a friend in which they share the same surname, in full: "Although it appears that people in Paris think me no longer alive, since I have received no memoirs, no knowledge of the times, no items on Cabestan, nothing indeed of all the academy has had printed this year. I would nevertheless be mortified if you too were of those who forgot about me. Accept then, Sir, that I take advantage of the circumstance of this moment to remind you of my existence by presenting you my compliments for the New Year we are just about to enter, which I wish you to be the happiest in all respects and with many more just like it. I beg you to save for me that portion of your friendship I deserve and to believe forever in the unconditional attachment with which I am honored to be." P.S. "My sosna ask me to send you their compliments as well for the New Year and to trust in their obedience." Boldly signed and in fine condition. The item is priced NET to all. Swiss mathematician known for his contributions to infinitesimal calculus, and for being the first teacher of physicist Leonhard Euler.