Exercitationes Quaedam Mathematicae by Bernoulli Daniel (26 results)

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Hardback or Cased Book. Condition: New. Exercitationes Quaedam Mathematicae. Book.

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LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1724 edition. 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. Pages: 105 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. 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: 105.…

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First edition. DANIEL BERNOULLI IN ITALY - FOUR WORKS BY HIM, HIS FRIENDS, AND HIS ADVERSARIES. Sammelband of four very rare works, all first editions, representing the work of the great Swiss mathematician Daniel Bernoulli, and of those of his friends and adversaries, during the period 1723-25 he spent in Italy. Bernoulli's Exercitationes is his first mathematical publication, the success of which resulted in his appointment to the Academy of Sciences in St Petersburg. The work is in four parts, and is notably polemical. In the first part Bernoulli develops the theory of recurrent series and applies it to problems of probability involving the card game Faro; here Bernoulli disputes the position of Giovanni Rizzetti, famed as a critic of Newton's theory of light. This was "evidence of his early interest in the work on the theory of probability done by his predecessors Montmort and De Moivre, which had been nourished by discussions with his cousin Nikolaus I" (DSB). In the second part, Bernoulli addresses the hydrodynamic problem of the outflow of water through a hole at the bottom of a vessel. Bernoulli supports the opinions of Pietro Antonio Michelotti; it was to study medicine under Michelotti that Bernoulli travelled to Venice in 1723, and Bernoulli's interest in this problem was probably motivated by his study of blood flow and blood pressure. Opposing Jacopo Riccati, Bernoulli supports the (erroneous) theory put forth by Newton in the first edition of the Principia. In the second edition, Newton revised his opinion and accepted Riccati's theory as correct, and Bernoulli himself revised his position in his Hydrodynamica (1738). The third part of the Exercitationes is a response to, and solution of, Riccati's work on the differential equations named after him: Bernoulli identifies the equations for which separation of variables occurs, in which case finding the solution is reduced to an integration. While in Venice, Bernoulli had proposed to Riccati's pupil Giuseppe Suzzi the problem of the quadrature of 'lunulae' (figures bounded by two circular arcs). In the fourth part of the Exercitationes, Bernoulli takes issue with Suzzi, giving his own treatment of the problem; Suzzi published his own results the next year in Disquisitiones mathematicae, "the first Italian treatise where some currency was given to 'evanescent quantities' and 'fluent and fluxions'" (Guicciardini, p. 291). Daniel Bernoulli's father Johann, and uncle Jakob, were notorious for their academic disputes, but the Exercitationes was Daniel's only polemical writing. Later he developed "an aversion to all controversies" (Werke I, p. 238). Ripa's Miscellanea is a collection of four works, the most important of which is a determination of the 'ballistic curve', the path followed by a projectile moving under gravity in a resistive medium. Michelotti's Apologia is a defence of Johann Bernoulli's doctoral thesis De motu musculorum against the attacks of Newton's friend and personal physician Richard Mead. ABPC/RBH list only the Macclesfield copy of the Bernoulli (Sotheby's 2004, £5,400), and no copies of any of the other three works. Daniel Bernoulli (1700-82) was the most distinguished member of the second generation of the Bernoulli family, the son of Johann I. Daniel gained his baccalaureate in 1715 and master's degree in 1716 at Basle University, but, while studying philosophy at Basle, he began learning about the calculus from his father and his older brother Nikolas. He studied medicine at Heidelberg in 1718, Strasbourg in 1719, and then returned to Basle in 1720 to complete his doctorate. After completing his medical studies in 1721, he applied for a chair at Basel, but like his father before him, he lost out in a lottery. Having failed to obtain an academic post, Daniel went to Venice to study practical medicine under Michelotti (1673-1740). While in Venice he continued his mathematical studies, and made the acquaintance of Christian Goldbach (1690-1764), who assisted him with the publication of his Exercitationes quaedam mathematicae in July 1724. The first part of the Exercitationes is evidence of Bernoulli's early interest in probability - his best known contribution in this field is his formulation of the 'St. Petersburg paradox' in 1738. In the present work Bernoulli studies the card game 'Faro' (or 'Pharaoh'), a late 17th-century French gambling game using cards which some regard as a precursor of poker. It is descended from Basset, and belongs to the Lansquenet and Monte Bank family of games due to the use of a banker and several players. Winning or losing occurs when cards turned up by the banker match those already exposed. Faro had been analysed by Montmort in his Essay d'Analyse sur les Jeux de Hazard (1708, 1713). Bernoulli here gives his own analysis of the game, and includes several letters exchanged with Rizzetti (1675-1751) disputing his analysis of the same problem. Modern historians have traced the origin of the dispute between the two men as a difference between them of the concept of randomness; in the following year Rizzetti published his results in his Ludorum scientia, which some have seen as anticipating the strong law of large numbers. Bernoulli's analysis in the Exercitationes is based on the use of 'recurrent series' - these are series in which, starting after a given term, the coefficient of any power of the variable is expressed as a linear function of a fixed number of the coefficients of lesser powers. The general term of such a series can be determined by using power series and partial fractions. Bernoulli later made use of these series for the approximate calculation roots of algebraic equations. The second part of the Exercitationes prefigures Bernoulli's most important contribution to science, his Hydrodynamica (1738). It involves a dispute between Daniel Bernoulli and Michelotti on one side, and Jacopo Riccati (1676-1754) on the other, regarding Newton's treatment in the Principia of the flow of fl.…

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HRD. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

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HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

Leather Bound. Condition: New. Presenting an Exquisite Leather-Bound Edition, expertly crafted 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 1724. 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. Pages: - 96, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. 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. 96 96.…

Leather Bound. Condition: New. Presenting an Exquisite Leather-Bound Edition, expertly crafted 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 2025, utilizing the invaluable guidance of the original edition published many years ago in 1724. 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. Pages:- 102, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. 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. 102 102.…

« Une solution de l'équation célèbre de Ricati, qu'on trouve dans ce recueil, plaça le jeune Daniel Bernoulli au nombre des géomètres inventeurs » (Condorcet). Très bel exemplaire entièrement non rogné, conservé dans son cartonnage d'attente de l'époque, tel que paru. In-folio de 96 pp. et 1 plche dépliante. C artonnage d'attente de l'époque, titre calligraphié au dos, exemplaire non rogné. Reliure de l'époque. 283 X 195 mm. Bernoulli, Daniel. Exercitationes quardam mathematicae. Venetiis, Dominicum Lovisam, 1724. Rare first edition of Bernoulli's first published volume which served to establish his reputation at the age of 24. It contains 1 folding plate with 9 figures. Riccardi, II, 360. As a result of the success of this early treatise, Bernoulli was appointed to the Academy of Sciences in St Petersburg. « This treatise deals with the outflow of water from the opening of containers and the lunulae and solutions to a number of contemporary geometrical and algebraic problems, including that of Riccati's differential equations. It also contains an early dissertation on the game of faro » (D.S.B. II, pp. 37 e 42). Bernoulli (1700-1782) records his disputes with a number of contemporary mathematicians (such as Riccati and Montmort). "In Padua Daniel Bernoulli turned his attention to mathematics; his first interests were differential equations and questions concerning calculus of probability. Parts of this work were collected in a volume printed in Venice in 1724. This brought him quite a bit of fame, so much that the Republic of Genoa offered him the presidency of its newly re-established Academy" (D. Speiser, Discovering the Principles of Mechanics 1600-1800). "Like Newton, whose battle he fought on the Continent, Bernoulli was first and foremost a physicist, using mathematics primarily as a means of exploring reality as it was revealed through experimentation" (DSB). « Une solution de l'équation célèbre de Ricati, qu'on trouve dans ce recueil, plaça le jeune Daniel Bernoulli au nombre des géomètres inventeurs. Ces dissertations, imprimées en Italie, parurent avec une approbation de l'inquisiteur. Une telle cérémonie, nécessaire alors dans toute cette partie de l'Europe, excepté à Naples, dut paraître bizarre à un géomètre né libre et protestant » (Condorcet). A very desirable wide margined copy kept in its contemporary boards, as issued. Très bel exemplaire, entièrement non rogné, conservé dans son cartonnage d'attente du temps, tel que paru.…

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