Doctrine Chances Method Calculating by Moivre (118 results)

Condition: New.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

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PF. Condition: New.

Condition: New.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Condition: New.

Condition: New. In.

Condition: New. In.

Condition: New. In.

Condition: New.

Condition: New.

Facsimile reprint of 3rd edn. 8vo. Original gilt lettered blue cloth (VG), no dustwrapper. Pp. xi + 368, illus with tables (no inscriptions).

Condition: Very Good. 1967 Chelsea 3rd edition, 368 pp., Hardcover, minor internal library markings, faint wear to spine else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Condition: New.

Condition: New. In.

Condition: As New. Unread book in perfect condition.

New imp.of the Second edition, with additional material. xi,368pp. sm.4to. red cloth. sl.spotted.

Hardcover. Condition: Very Good. Very Good. book.

(27,5 x 21,5 cm). (4) XIV (2w) 258 (1) S. Mit Titelvignette und 6 (3 gestochenen) Kopf- bzw. Schlußvignetten. Lederband der Zeit. Gegenüber der ersten Ausgabe von 1718 um über 80 Seiten vermehrt. - "The first textbook for the calculus of probabilities. It constitutes the results of the activities of its author as a private instructor of mathematics. It was based on the concept of probability and its classical measure; it contained in an introductory theoretical part the main rules, extended the mathematical methods for the solution of its problems by analytical tools, and offered from the second edition on an approximation of the binomial by the normal distribution. A second edition (1738) contained his normal approximation to the binomial distribution, which he had found in 1733. De Moivre's greatest mathematical achievement is considered a form of the central limit theorem, which he found in 1733 at the age of 66. He understood his central limit theorem as a generalization and a sharpening of Bernoulli's 'Theorema aureum', which was later named 'the law of large numbers' by S. D. Poisson" (Landmark writings). - "De Moivre's masterpiece is 'The Doctrine of Chances'. A Latin version appeared as 'De mensura sortis' in 'Philosophical Transactions of the Royal Society'. He was able to dedicate his first book, 'The Doctrine of Chances', to Newton; and the aging Newton would, it is said, turn students away with 'Go to Mr. De Moivre; he knows these things better than I do'" (DSB). - Exlibris. Stempel mit Elephant auf Titel. Vereinzelt gering fleckig. Vorsätze erneuert und Rücken sorgsam restauriert. Insgesamt wohlerhalten. - DSB 9, 452; Landmark writings in western mathematics S. 105; Kress 4395; vgl. Norman 1529 (EA).

Hardcover. Condition: Near Fine. Facsimile Edition. 23.5 x 15.5 cm. 368pp. Bound into navy blue cloth, gilt spine lettering. Photographic reprint of the 3rd (final) edition with the addition of a corrected errata and a bibliographical article about the author by Helen M. Walker. Small book label on front free endpaper.

Hardcover. Condition: Very Good. Hardcover in very good condition. Blue cloth boards with gold lettering on the spine. 348 pages. Boards are clean and unmarked. Binding is square and a little loose. Pages are clean and unmarked. This is a facsimile reprint of the 1756 version printed in London for A. Millar in the Strand. This is a very nice copy in very good condition.

Hardcover. Condition: Near Fine. xi, 368p. A near fine copy, no d.j. The third edition says, on the title-page, that it is "Fuller, Clearer, and more Correct than the Former." Size: 8vo - over 7¾" - 9¾" tall [1967]. 3rd Ed. Reprint of 1766 Edition.

4to, pp.[4], xiv, 175, [1]; copper-engraved ornament to title-page, woodcut and engraved head- and tailpieces; occasional stains and light foxing, otherwise a handsome copy on fine paper in contemporary Cambridge-panelled calf, gilt red morocco lettering-piece to spine; skilfully rebacked and recornered with the original spine relaid, spine worn and covers scuffed; armorial bookplate of Sir Alfred Sherlock Gooch to front pastedown, early ink inscription to front free endpaper (see below), two minor annotations in ink to pp.7 and 36.First edition, a very good copy with likely Virginian provenance, of this classic on the theory of probability and game theory, inscribed in multiple hands aboard the sixty-gun warship HMS Dunkirk, a human moment of indulgence stolen between the drudgery and danger of life aboard a Royal Naval ship. The Doctrine of Chances is dedicated to Sir Isaac Newton, President of the Royal Society, and personal friend of de Moivre. 'The principal contributions to our subject from de Moivre are his investigations respecting the Duration of Play, his Theory of Recurring Series, and his extension of the value of Bernoulli's Theorem by the aid of Stirling's Theorem . it will not be doubted that the Theory of Probability owes more to [de Moivre] than to any other mathematician, with the sole exception of Laplace' (Todhunter, A History of the mathematical Theory of probability from the time of Pascal to that of Laplace (1865), p.193). Our copy records a rare and fleeting moment of levity on deck: the inscription to the front free endpaper, written in multiple hands, reads 'Mr. Mollet & Mr Dobby playing at Backgamon | 29May 1740 under the awning on Board His | Majisties Ship Dunkirk Capt. Bolling | & Mr Stafford first Lieutenant looking on'. Ship's logs show that on 29 May 1740, the HMS Dunkirk was at sea off the Isles of Scilly, and travelled thirty-two miles in stormy weather; an unlikely time to play backgammon on deck. Furthermore, we can find no record of a Captain Bolling or any of the other officers named in British Army or Royal Navy lists for 1740. Could the year 1740 have been written in error instead of 1741, perhaps by force of habit in the early months of the new year (prior to the adoption of the Gregorian calendar in 1752, the year began on 25 March)? Circumstance seems to support this: on 29 May 1741 the conditions were decidedly different: the HMS Dunkirk was moored in fair weather at the mouth of the Magdalena River in Colombia, one of a fleet of British warships patrolling the north coast of South America in the aftermath of Admiral Vernon's disastrous attack on Cartagena earlier that year, which inflicted over ten thousand fatalities on British forces. The Dunkirk's manoeuvres off Cartagena provide a compelling clue to the possible identities of our officers and to the connection between the 1740s owner of this book and the later Gooch family provenance. In autumn 1740, SirWilliam Gooch (16811751), Lieutenant Governor of Virginia, led a regiment of some 3500 Virginian militiamen (known as 'Gooch's American Foot') to Jamaica; they would then take part in the failed attack on Cartagena. Gooch was excluded from the British council of war, and his men were disdained by the officers. At the start of 1741, many of Gooch's men were made deckhands on undermanned British ships, fifty-one of them embarking to the Dunkirk on 24 January 1741 as supernumeraries. In March, they sailed as de facto members of the Royal Navy, and 'a majority of the American troops never returned, being kept as conscripted sailors on the ships to which they had been abducted' (Slaughter, Independence: The Tangled American Revolution). Where we find no Captain Bollings in the UK, we find a plethora of them in Virginia, all members of the local militia. The Captain Bolling mentioned in the inscription is likely the Virginian John Bolling Jr (17001757), great-great-grandson of Pocahontas and John Rolfe and later colonel of the W.

Hardcover. First edition. THE FOUNDING WORK OF THE FIELD OF PROBABILTY AND STATISTICS. First edition of this classic on the theory of probability, the first original work on the subject in English. "De Moivre's book on chances is considered the foundation for the field of probability and statistics" (Tomash). "De Moivre's masterpiece is The Doctrine of Chances" (DSB). "His work on the theory of probability surpasses anything done by any other mathematician except P. S. Laplace. His principal contributions are his investigations respecting the Duration of Play, his Theory of Recurring Series, and his extension of the value of Daniel Bernoulli's theorem by the aid of Stirling's theorem" (Cajori, A History of Mathematics, p. 230). "He was among the intimate friends of Newton, to whom this book is dedicated. It is the second book devoted entirely to the theory of probability and a classic on the subject" (Babson 181). De Moivre's interest in probability was raised by Pierre-Rémond de Montmort's Essay d'analyse sur les jeux de hazard (1708), the first separately-published work on probability. "The [Doctrine] is in part the result of a competition between De Moivre on the one hand and Montmort together with Nikolaus Bernoulli on the other. De Moivre claimed that his representation of the solutions of the then current problems tended to be more general than those of Montmort, which Montmort resented very much. This situation led to some arguments between the two men, which finally were resolved by Montmort's premature death in 1719 De Moivre had developed algebraic and analytical tools for the theory of probability like a 'new algebra' for the solution of the problem of coincidences which somewhat foreshadowed Boolean algebra, and also the method of generating functions or the theory of recurrent series for the solution of difference equations. Differently from Montmort, De Moivre offered in [Doctrine] an introduction that contains the main concepts like probability, conditional probability, expectation, dependent and independent events, the multiplication rule, and the binomial distribution" (Schneider, p. 106). Provenance: Charles Meynell (early engraved bookplate). The modern theory of probability is generally agreed to have begun with the correspondence between Pierre de Fermat and Blaise Pascal in 1654 on the solution of the 'Problem of points'. Pascal included his solution as the third section of the second part of his 36-page Traité du triangle arithmétique (1665), which was essentially a treatise on pure mathematics. "Huygens heard about Pascal's and Fermat's ideas [on games of chance] but had to work out the details for himself. His treatise De ratiociniis in ludo aleae essentially followed Pascal's method of expectation. At the end of his treatise, Huygens listed five problems about fair odds in games of chance, some of which had already been solved by Pascal and Fermat. These problems, together with similar questions inspired by other card and dice games popular at the time, set an agenda for research that continued for nearly a century. The most important landmarks of this work are [Jakob] Bernoulli's Ars conjectandi (1713), Montmort's Essay d'analyse sur les jeux de hazard (editions in 1708 and 1711 [i.e., 1713]) and De Moivre's Doctrine of Chances (editions in 1718, 1738, and 1756). These authors investigated many of the problems still studied under the heading of discrete probability, including gamblers ruin, duration of play, handicaps, coincidences and runs. In order to solve these problems, they improved Pascal and Fermat's combinatorial reasoning, summed infinite series, developed the method of inclusion and exclusion, and developed methods for solving the linear difference equations that arise in using Pascal's method of expectations." (Glenn Schafer in Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (1994), Grattan-Guiness (ed.), p. 1296). "De Moivre's earliest book on probability, the first edition.

Couverture rigide. Condition: Bon. ---- Troisième édition REVUE, AUGMENTEE ET CORRIGEE ---- EX-LIBRIS C.V.L. CHARLIER, auteur d'un ouvrage sur le calcul des probabilités ---- EXEMPLAIRE GRAND DE MARGES ---- London, Millar, 1756, un volume grand in 4 relié en pleine basane (reliure de l'époque), (restaurations maladroites aux coiffes), (2), 11pp., (1pp.), 348pp. ---- "De Moivre's work on the theory of probability surpasses anything done by any other mathematician except Laplace. His principal contributions are his investigations respecting the duration of play, his theory of recurring series and his extension of the value of Bernouillis theorem by the aid of Sterling's theorem". (Cajori) ---- "The first edition of this work contains 175 pages, the second edition 258 pages and the third 348 pages. The following list will indicate the parts which are new in the third edition : the Remark pages 30/33 and pages 48 & 49, the greater part of the second Corollary pages 64/66, the Examples page 88 ; the Scholium page 95, the Remark page 149 and pages 151/159, the fourth Corollary page 162, the second Corollary pages 176/179, the note at the foot of page 187, the Remark pages 251/254. The part on life annuities is very much changed. The Introduction is very much fuller than the corresponding part of the first edition. In his third edition De Moivre draws attention to the convenience of approximating to a fraction with a large numerator and denominator by continued fractions, which he calls "the Method proposed by Dr Wallis, Huygens and others". He gives the rule for the formation of the successive convergents. This third edition contains 74 problems exclusive of those relating to life annuities (in the first edition there were 53 problems). The pages 220/229 contains one of De Moivre's most valuable contributions to mathematics, namely that of Recurring series. Pages 261/328 are devoted to Annuities on lives ; an Appendix finishes the book, occupying pages 329/348 : this also relates principally to annuities, but it contains a few notes on the subject of probability.". (Todhunter). A very full account of the above third edition will be found in Todhunter's History of the theory of probability"**3725/ARM3.

First edition of the author's masterpiece, an early and important contribution to the calculus of games of chance and probability theory, setting out "a series of algebraic and analytic tools for the theory of probability. which foreshadowed Boolean algebra" (ODNB) and other concepts. His introduction contains an overview of main concepts such as probability, conditional probability, expectation, dependent and independent events, the multiplication rule, and the binomial distribution. The book is dedicated to Sir Isaac Newton, whose priority in the dispute between Newton and Leibniz over the development of infinitesimal calculus de Moivre had defended. Babson 181; E STC T33065; Honeyman 2240. Quarto (255 x 195 mm). Engraved vignette on title page, engraved and woodcut initials, head- and tailpieces. Contemporary calf, rebacked with original spine laid down, orange label, gilt in compartments, marbled endpapers, brown speckled edges. Slight rubbing, patch of loss and abrasion to front cover, scattered very light foxing. A very good copy.

Engraved vignette on title and engraved head- & tailpieces. 2 p.l., xiv, 175 pp. Large 4to, cont. mottled calf (expertly rebacked & recornered by Aquarius), spine richly gilt, red morocco lettering piece on spine. London: W. Pearson for the Author, 1718. First edition and a fine copy of this classic on the theory of probability; it is dedicated to Isaac Newton who was a personal friend of the author. "His work on the theory of probability surpasses anything done by any other mathematician except P.S. Laplace. His principal contributions are his investigations respecting the Duration of Play, his Theory of Recurring Series, and his extension of the value of Daniel Bernoulli's theorem by the aid of Stirling's theorem."Cajori, A History of Mathematics, p. 230. Nice copy. ? Babson 181"He was among the intimate friends of Newton, to whom this book is dedicated. It is the second book devoted entirely to the theory of probability and a classic on the subject." Stigler, The History of Statistics, pp. 70-85. Tomash M 114.

LeatherBound. Condition: New. LeatherBound edition. Condition: New. Reprinted from 1718 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: 205 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: 205.

LeatherBound. Condition: New. LeatherBound edition. Condition: New. Reprinted from 1718 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. 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. Pages: 209 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: 209 Language: English.