Analyse Infiniment Petits Lintelligence Lignes by Lhospital Guillaume Francois Antoine Marquis (6 results)

Leatherbound. Condition: NEW. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Reprinted from 1716 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 234 Language: French Pages: 234.

Leather Bound. Condition: New. Language: French. This book is available in 5 different Leather color without any extra cost. Explore More Options by Clicking on 'More Images' and Notify Us of Your Choice via Email within 24 hours of placing the order. Presenting an Exquisite Leather-Bound Edition, expertly crafted by the prestigious organization "Rare Biblio" with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine lends an artistic flair. This masterpiece has been meticulously reprinted in 2024, utilizing the invaluable guidance of the original edition published many years ago in 1716. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - French, Pages: - 238, Print on Demand. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 238.

relié, plein cuir d'époque, XV et 181 pages, complet des 11 planches dépliantes, totalisant 156 figures, avec une vignette, deux bandeaux, deux lettrines et deux culs-de-lampe ; dos à 5 nerfs avec pièce de titre, motifs floraux et caractères, dorés ; toutes tranches rouges. pt in-4 Coiffes absentes, coins usés, un manque de cuir sur 9 cm, au coin inférieur du dernier plat, ainsi qu'à la coupe supérieure ; quelques faibles epidermures sur les plats, aussi légèrement frottés ; une légère mouillure pas gênante en marge inférieure de la plupart des pages et planches, sinon l'intérieur est frais et l'ensemble en bon état.

Couverture rigide. Condition: fine. second edition. 4to (243 x 182 mm) XV, 181 pp., 11 engraved plates. Contemporary calf, spine gilt with raised bands.

Hardcover. Condition: Very Good. 1st Edition. 4to (249 x 190 mm). [20], 181 [3] pp, including first blank, final imprint leaf, title-engraving of French royal arms, 11 numbered folding engraved plates, engraved allegorical head-pieces (one by Le Pautre), engraved tail-piece by G. Audran, engraved initials, woodcut tailpiece, one signed PLS (Pierre Le Sueur). Contemporary calf, spine with 5 raised bands, gilt-lettered and gilt-decoated in compartments (boards and extremities worn, corners bumped and scuffed, head of spine chipped). Text and plates generally very clean and unstained, light browning and occasional minor spotting to text, author's name added in script to title. Provenance: Collegii Regii Sem. Episcop. Argentin. Soc. Jesu (inscription at bottom of title-page); Lycee Imperiale Strasbourg (stamp to title-page and a few text pages). In all a fine copy. ---- Norman 1345; Honeyman 2006; DSB VIII, p.304; Babson, Supplement, p.30. - FIRST EDITION OF THE FIRST TEXTBOOK OF THE DIFFERENTIAL CALCULUS "which includes the original publication of ideas originated and developed by Leibniz and the Bernoullis. L'Hospital, who learned the new calculus from Johann 1 Bernoulli, entered into a financial arrangement with Bernoulli whereby, for an allowance, Bernoulli would communicate to him some of his (Bernoulli's) mathematical discoveries. L'Hospital freely acknownledged his indeptedness to his sources, but also claimed credit for some work which was not his own. The ninth chapter of his textbook contains what is now known as "L'Hospital's rule" for finding the limiting value of a fraction whose numerator and denominator tend to zero; however, this rule was actually the work of Bernoulli, who included it in his letter to L'Hospital of 22 July 1694." (Norman 1345).- Visit our website to see more images!.

Hardcover. First edition. THE FIRST BOOKS ON DIFFERENTIAL AND INTEGRAL CALCULUS. A fine sammelband comprising the first editions of the first books on the differential and integral calculus, respectively. "In France it was through the Oratorian circle of Nicolas Malebranche that Johann Bernoulli introduced in 1691 the Leibnizian calculus. His lessons to the Marquis de l'Hôpital led to the draft of the first treatise of differential calculus (1696), and it was under the influence of Malebranche that some years later appeared the first works on the integral calculus by Louis Carré in 1700 and Charles René Reyneau in 1708. The spread and acceptance of the Leibnizian calculus was transferred in this way to the wide public" (Landmark Writings, p. 56). "The importance of L'Hospital's work lay in its dissemination throughout Europe of the concepts and early development of the calculus, whose cause L'Hospital advanced as well through his many contacts; these included Christiaan Huygens, who is reputed to have learned the calculus from L'Hospital" (DSB). Bernoulli's lectures also covered integral calculus, but L'Hospital dropped plans to write a continuation to his Analyse des infiniment petits dealing with this subject "in deference to Leibniz, who had let him know that he had similar intentions" (ibid.). Leibniz never wrote such a text, however, and Bernoulli's lectures on integral calculus remained unpublished until they appeared in his Opera (1742). The task of completing L'Hospital's book was instead taken up by Carré, a pupil of Malebranche and assistant to Pierre Varignon, from whom he probably learnt calculus. "Following the classical custom, his Analyse des infiniment petits starts with a set of definitions and axioms . The difference (differential) is defined as the infinitely small portion by which a variable quantity increases or decreases continuously. Of the two axioms, the first postulates that quantities which differ only by infinitely small amounts may be substituted for one another, while the second states that a curve may be thought of as a polygonal line with an infinite number of infinitely small sides such that the angle between adjacent lines determines the curvature of the curve. Following the axioms, the basic rules of the differential calculus are given and exemplified. The second chapter applies these rules to the determination of the tangent to a curve in a given point . The third chapter deals with maximum-minimum problems and includes examples drawn from mechanics and geography. Next comes a treatment of points of inflection and cusps. This involves the introduction of higher-order differentials, each supposed infinitely small compared to its predecessor. Later chapters deal with evolutes and with caustics. L'Hospital's rule is given in chapter 9" (ibid.). The tenth and final chapter of the Analyse discusses the methods of Descartes and Johann Hudde. The companion work by Carré is "the first treatise on the integral calculus in any language, which is here applied to the determination of the area of superficies [surfaces] and solids and their centres of gravity, problems of percussion, oscillation, etc." (Sotheran). On this last topic, the determination of the centres of oscillation of solids, Carré made a significant error. This was known to Bernoulli but not publicized at the time, and so was propagated into several later calculus texts, such as Charles Hayes' Treatise on Fluxions (1704) and Edmund Stone's The Method of Fluxions, both Direct and Inverse (1730). Both works are rare on the market: ABPC/RBH list four copies of L'Hospital's book since the Norman copy, which realised $6,325 in 1998; and only two copies of Carré's work in the last half century. "Differential and integral calculus are generally considered to have their origins in the works of Newton and Leibniz in the late 17th century, although the roots of the subject reach far back into that century and, arguably, even into antiquity. Leibniz first described his new calculus in a cryptic article more than a decade before the publication of the Analyse. For all practical purposes, Leibniz' early papers were not understood, until Jakob Bernoulli and his younger brother Johann began studying them in about 1687 and making discoveries of their own using his techniques. "Bernard de Fontenelle became the secretary of the Académie des Sciences in Paris in 1697 and wrote the eulogy of l'Hôpital for the academy's journal. He said that in 1696, 'the Geometry of the Infinitely small was still nothing but a kind of Mystery, and, so to speak, a Cabalistic Science shared among five or six people. They often gave their Solutions in the Journals without revealing the Method that produced them, and even when one could discover it, it was only a few feeble rays of this Science that had escaped, and the clouds immediately closed again.' Later on, Montucla went one step further and listed the only people that he believed understood Leibniz' calculus before 1696: Leibniz himself, Jakob and Johann Bernoulli, Pierre Varignon and l'Hôpital. L'Hôpital's Analyse changed all of this and for much of the 18th century, his book served aspiring French mathematicians as their first introduction to the new calculus. "For all that the Analyse was a popular and successful introduction to the differential calculus, it's remarkable that there is no account of the integral calculus in the book. In his Preface, l'Hôpital explained why: 'In all of this there is only the first part of Mr. Leibniz' calculus, . The other part, which we call integral calculus, consists in going back from these infinitely small quantities to the magnitudes or the wholes of which they are the differences, that is to say in finding their sums. I had also intended to present this. However, Mr. Leibniz, having written me that he is working on a Treatise titled De Scientiâ infiniti, I took care not to deprive the public of such a beautiful Work' [p. iii]. Unfortunately, Leibniz never completed t.