Arithmetica universalis sive compositione resolutione (31 Ergebnisse)

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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 408 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

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Buch. Zustand: Neu. Neuware - Il matematico e filosofo inglese Sir Isaac Newton scrive qui della sua teoria dell'aritmetica universale. La sua teoria dell'aritmetica è tuttora uno dei fondamenti della matematica modernaThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the 'public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…
Weitere BilderVerlag: apud Joseph Marellum,, Mediolani,, 1752
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In den WarenkorbTre volumi di cm. 18, pp. (24) 276; (12) 246; 234 (2). Legatura strettamente coeva in piena pergamena rigida. Tasselli mancanti, peraltro esemplare genuino e ben conservato. Ex libris. Edizione originale di questo ampio studio del Lecchi sulla matematica newtoniana. Non comune. Cfr. Riccardi.

Sprache: Latein
Verlag: Leiden Verbeek, 1732
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In den Warenkorb(22 x 17,5 cm). (8) 344 S. Mit gestochener Titelvignette und 13 Kupfertafeln. Dekorativer Halblederband der Zeit. Dritte lateinische Ausgabe (sechste überhaupt), herausgegeben von W. J. S. van 'sGravesande. "There are additional treatises by Halley (3), Colson, DeMoivre, Maclaurin (2) and Campbell" (Babson). "Includes much new material" (Wallis). Das Werk wurde 1707 erstmals und ohne Newtons Kenntniss von William Whiston herausgegeben. - Stempel auf Titel. Durchgehend gering gebräunt bzw. stockfleckig. Tafeln am Rand vereinzelt sorgsam restauriert. Insgesamt schönes und gut erhaltenes Exemplar. - Babson 204; Wallis 279; Gray 279; Sotheran, Suppl. I, 1563. …
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In den WarenkorbCouverture rigide. Zustand: Bon. 2 vol. in-4 : ?Amsterdam, Marc-Michel Rey, 1761, , 2 vol. in-4 : [6]-XVIII-310-[1] pp. 32 pl. + [4]-288-[2]-134-[1] pp. 5 pl, Demi-chagrin noir, filets dorés sur les plats, dos à nefs orné de caissons dorés, tranches marbrées, Édition commentée par Giovanni di Castillione qui fut lui-même éditeur d'ouvrages de Newton. Elle comporte également au second volume l'Additamentum vel de Solutione et constructione Aequationum, &c. d'Halley et 9 petits traités de Colson, Moivre, Halley (2), Folkes, Campbell, Baermanno, Kaestner et Boscovich. Elle est illustrée de 37 planches hors-texte. L'Arithmétique de Newton est le texte qui établit la réputation du physicien anglais. Elle contient ses cours d'algèbre professés à Cambridge entre 1673 et 1683. Newton parvint à déterminer des valeurs approchées des racines numériques et établit les fondements de la théorie des fonctions de ces racines. Babson, 205; Gray 281. Petits frottements et épidermures, rousseurs, petits manques angulaires sans atteinte à 4 pl. et restaurations angulaires sans atteinte à 9 pl. du 1er vol. Ex-libris René Mariaux.…
Weitere BilderVerlag: Benji & Sam. Tooke, London, 1722
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In den WarenkorbSecond edition. NEWTON'S ALGEBRA - THE FIRST EDITION AUTHORISED AND EDITED BY NEWTON. Second edition, but the first authorised and edited by Newton (probably with the assistance of John Machin - see below), of his treatise on algebra, or 'universal arithmetic,' his "most often read and republished mathematical work" (Whiteside, Papers V, p. xiv). "Included are 'Newton's identities' providing expressions for the sums of the ith powers of the roots of any polynomial equation, for any integer i [pp. 251-2], plus a rule providing an upper bound for the positive roots of a polynomial, and a generalization, to imaginary roots, of René Descartes' Rule of Signs [pp. 242-5]" (Parkinson, p. 138). About this last rule for determining the number of imaginary roots of a polynomial (which Newton offered without proof), Gjertsen (p. 35) notes: "Some idea of its originality . can be gathered from the fact that it was not until 1865 that the rule was derived in a rigorous manner by James Sylvester." The work is a printed version of lectures Newton prepared in the period 1672-83. Although the editor of the first edition, William Whiston, later claimed that he had Newton's permission to print the lectures, Newton was far from satisfied with the result, complaining that the titles and headings were not his and that it contained numerous mistakes. His real concern was that "an unfinished text composed so long before should now be presented to the world as though it represented his latest researches into the structure and applications of algebra" (Papers V, p. 11), and that Whiston had "too faithfully and impercipiently followed the parent manuscript, incorporating in his princeps edition its several inconsistencies and lapses into error without, in the main, even bringing them to the reader's notice . In his private library copy of the edition, Newton corrected many minor misprints, inserted more appropriate running heads ('Multiplicatio', 'Divisio', 'Extractio Radicum', 'De Forma Aequationis', 'Reductio Aequationum', 'Resolutio Quaestionum Arithmeticarum (Geometricarum)' and the like) and on the Arithmetica page 279 deleted an unwarranted half-title 'Aequationum Constructio linearis'; more radically, he mapped out a large-scale reordering of the sixty-one geometrical problems comprising its central portion, seeking to grade them into a more logical sequence and in increasing levels of difficulty, while in the concluding section on the 'curvilinear ' construction of equations he pared away all not directly needed flesh, reducing it to two skeletal conchoidal neuses, now denuded of their proof. That last savage act of butchery apart, all these improvements were incorporated in the Latin revise - future parent (and rightfully so) of all subsequent editions - which he himself brought to publication in 1722" (ibid., pp. 13-14). Babson notes that "This edition was the last issued during Newton's lifetime and is almost as rare as the first." In commerce, this edition is, in fact, much rarer than the first: ABPC/RBH list only two other copies of this edition since 1975, but ten of the first. "In fulfilment of his obligations as Lucasian Professor, Newton first lectured on algebra in 1672 and seems to have continued until 1683. Although the manuscript of the lectures in [Cambridge University Library] carries marginal dates from October 1673 to 1683, it should not be assumed that the lectures were ever delivered. There are no contemporary accounts of them and, apart from Cotes who made a transcript of them in 1702, they seem to have been totally ignored. Whiteside (Papers V, p. 5) believes that they were composed 'over a period of but a few months' during the winter of 1683-4" (Gjertsen, pp. 33-4). The Arithmetica "derives partly (in its discussion of the elemental algebraic operations and of the reduction and exact solution of equations) from Newton's earlier, unpublished 'Observations' on the introduction to Cartesian algebra presented by Gerard Kinckhuysen in his 1661.…
Weitere BilderVerlag: Typis Academicus; Benjamin Tooke, Cambridge; London, 1707
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In den WarenkorbZustand des Schutzumschlags: Hardcover. First edition. NEWTON'S TREATISE ON ALGEBRA. First edition of Newton's treatise on algebra, or 'universal arithmetic,' his "most often read and republished mathematical work" (Whiteside). "Included are 'Newton's identities' providing expressions for the sums of the ith powers of the roots of any polynomial equation, for any integer i [pp. 251-2], plus a rule providing an upper bound for the positive roots of a polynomial, and a generalization, to imaginary roots, of René Descartes' Rule of Signs [pp. 242-5]" (Parkinson, p. 138). About this last rule for determining the number of imaginary roots of a polynomial (which Newton offered without proof), Gjertsen (p. 35) notes: "Some idea of its originality . can be gathered from the fact that it was not until 1865 that the rule was derived in a rigorous manner by James Sylvester." Provenance: Jesuit College at Ghent (ink inscription 'Bibliotheca Collegii Gandavensis Soc[ietatis] Jesu.' and shelfmark on title); extensive marginal annotations by a well-informed contemporary reader. This reader was possibly the English Jesuit Christopher Maier (1697-1767). Born in Durham, England, Maier entered the Society of Jesus in 1715. He taught at Liège, where he became interested in astronomy. In 1750, Maire was commissioned by Pope Benedict XIV to measure two degrees of the meridian from Rome to Rimini with fellow Jesuit Roger Boscovich, with a view to mapping the Papal States; in turn, they proved that the earth is an oblate spheroid, as Newton had proposed in Principia, publishing their results in Litteraria Expeditione (1755). Maier spent his final years at the English Jesuit College in Ghent. "In fulfillment of his obligations as Lucasian Professor, Newton first lectured on algebra in 1672 and seems to have continued until 1683. Although the manuscript of the lectures in [Cambridge University Library] carries marginal dates from October 1673 to 1683, it should not be assumed that the lectures were ever delivered. There are no contemporary accounts of them and, apart from Cotes who made a transcript of them in 1702, they seem to have been totally ignored. Whiteside (Papers V, p. 5) believes that they were composed 'over a period of but a few months' during the winter of 1683-4" (Gjertsen, pp. 33-4). The course of lectures stemmed from a project on which Newton had embarked in the autumn of 1669, thanks to the enthusiasm of John Collins: the revision of Mercator's Latin translation of Gerard Kinckhuysen's Dutch textbook on algebra, Algebra ofte stel-konst (1661). Newton composed a manuscript, 'Observations on Kinckhuysen', in 1670 (see Whiteside, Papers II) and used it in the preparation of his lectures. He took the opportunity not only to extend Cartesian algebraic methods, but also to restore the geometrical analysis of the ancients, giving his lectures on algebra a strongly geometric flavor. "When Newton resigned his Lucasian professorship to his deputy William Whiston in December 1701, it was natural that the latter should wish to familiarize himself with the deposited lectures of his predecessor" (Whiteside, Papers V, p. 8). Whiston later claimed (in his Memoirs, London: 1749) that Newton gave him his reluctant permission to publish the lectures. Whiston arranged with the London stationer to underwrite the expense of printing the deposited manuscript and then subsequently, between September 1705 and the following June, corrected both specimen and proof sheets as they emerged from the University Press. The completed editio princeps finally appeared in May 1707, priced at 4s. 6d., without Newton's name on the title page, although references inside the work made no attempt to hide the author's identity. It included an appended tract by Halley on 'A new, accurate and easy method for finding the roots of any equations generally, without prior reduction' (pp. 327-343). Publication of the work had been delayed by Newton, who complained that the titles and headings were not his and that it contained numerous m.…