roger cotes (84 résultats)

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

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

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

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

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Gebunden. Etat : New. KlappentextThis 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 was reproduced from the original artifact, and remains as true to the original w.

Etat : New.

Hardcover. Etat : Near Fine. First Edition Thus. Xxxv, 680. Red Cloth, Spine Lettered. Third Printing Of Cajori's Fine Revised Translation, 1947, Which Was First Published 1934. Slight Usage, No Marks, Spine Lettering Clear But Weak. Pages Aged. International Shipping At More Than Standard Rate.

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

Paperback. Etat : Good. ***GOOD CONDITION***CLEAN PAGES*** moderate edge wear, light scratches on back cover. We specialize in non-fiction books. Follow us on Facebook and Instagram.

Hardcover. Etat : Fine. Etat de la jaquette : Fine. 1st Edition. I. Bernard Cohen's copy of the First Edition, with his handwritten note on the verso of the title page, 'received from/Cabot Science Library/30 January 1984'. Frontispiece, x, 210 pp; 53 figs. + additional figs. in Appendices (see below). Original cloth. Cabot embossed stamp on title page, ink stamp on verso of title page ('Received January 17 1984') and on top and bottom edge. Else Near Fine, in near fine dust jacket. In his introduction, Gowing mentions Cohen's Introduction to Newton's Principia as one of two 'exellent and detialed' commentaries, along with A. Rupert Hall & Laura Trilling's Introduction to Vol. V of Newton's Correspondence. Appendix I (143-185; 34 figs.) = English translation of Logometria (p. 142 illustrates the title page of the Trinity College Library copy, with the famous note, 'Isaac Newton, speaking of Mr. Cotes, said 'If he had lived we might have known something'). Pp. 187-191, 2 figs. = Commentary on Proposition IV of Logmetria. Pp. 191-194, 1 fig. = Cotes' eighteen forms of fluents. Pp. 195-203, 3 figs. = Logometria, Part III, Problem X: The cotes spirals and related orbits. Pp. 205-206, 1 fig. = A manuscript in Trinity College Library, Cambridge. The fig. reproduces MS 1 17 12 20, 'Instruments in Trinity college Library, Cambridge, 20 October 1704'. 'Roger Cotes (16821716) was the first Plumian Professor of Astronomy and Experimental Philosophy, at Trinity College, Cambridge. One of the most distinguished, and certainly one of the most ardent, of the early Newtonians he did important work in mathematics and astronomy and edited the second edition of Newton's Principia. Cotes died young and published only one paper, the Logometria, during his lifetime; a translation of this paper is given in the Appendix. Most of Cotes's papers were published posthumously in Latin in Harmonia Mensurarum in 1722. Dr Gowing discusses Cotes' work in some detail but has written the work in such a way that the more technical aspects of the mathematics can be omitted at first reading whilst still giving a clear idea of Cotes' achievement. Cotes' work was significant but his full potential was unrealised; in Newton's reputed words: 'If he had lived, we might have known something' ' (Cambridge University Press Web site). Contents: Preface; Introduction; 1. Cotes as first Plumian Professor, and as editor of Newton's Principia; 2. Logometria; 3. New methods in the calculus; 4. Cote's factorisation theorem; 5. Astronomy; 6. Numerical methods; 7. The missing works; 8. Conclusion; Appendices; Select bibliography; Index.

Etat : New. Print on Demand pp. 506.

Brown hardback leather cover. Etat : Good. Second Edition. G : in Good condition without dust jacket. Rebacked using original boards. Prelims and index darkened. 200mm x 135mm (8" x 5"). [xvi], 289pp + plates and index. 5 fold-out b/w plates.

Second edition. [18], 273 [i.e. 289]pp, [11]. With five engraved folding plates and a terminal leaf of publisher's advertisements. Contemporary calf, recently rebacked, black morocco lettering-piece. Boards worn and marked. Hinges exposed, armorial bookplate of agricultural reformer Arthur Young (1741-1820) to FEP, head of title page shaved, scattered spotting. Ink-stamps of the Royal Agricultural Society of England to verso of title page and final page of index. The English mathematician Roger Cotes (1682-1716) was appointed Professor of Astronomy at Cambridge in 1706. A close friend of Newton, Cotes edited the second edition of the Principia in 1713. His untimely death was a great loss to English science, and Newton observed 'If he had lived we might have known something'. Cote's lectures, which were formal demonstration classes, were among the earliest of their kind in England. First published in 1738, this work is notable for containing the first English translations of Edmond Halley's 'Reason for Rising and Falling in the Barometer upon changes of Weather' and Newton's 'Scale of Degrees of Heat'. ESTC T144320. Size: 8vo.

Hardcover. Etat : Fair. Etat de la jaquette : No Dust Jacket. Second Edition. Owner's signature of "Thomas Skelton March 1798" on title page. Front board nearly detached. Leather split along entire length of rear joint. A few chips to leather, up to 1". Neat pencil marginalia from a later date. Piece torn from rear free endpaper. Damp stains to upper 1" of folding plates. Some foxing and browning to preliminary leaves. Text block in good condition.; [xviii], 273, [x], pages + five folding plates. Full calf boards. Five raised bands on spine. Page Dimensions: 200mm x 122mm. ; 8vo.

Hardcover. Etat : Very Good. 1st Edition. 243 pages, [A8-Q8, R7]. 20 X 13 cm. Preface (12), Index (6), and four pages of publisher adverts. Five copper engraved fold-out plates, plate four in photocopy. Errata list. Cotes, an English mathematician who edited the second edition of Newton's PRINCIPIA, made advances in the theory of logarithms, the integral calculus and in numerical methods, particularly interpolation. His quadrature formulas known as Newton-Cotes formulas and first introduced what is known today as Euler's formula. He was the first Plumian Professor and Cambridge University from 1707 until his death at the age of thirty-three. This work was held in great estimation. Cotes genius earned encomiums from his contemporaries and successors; Sir Isaac Newton said, "If Mr. Cotes had lived, we should have known something." Two inked signatures at title page; two ownership stamps, text and plates clean, slight loss back cover upper corner. Contemporary full brown calf, double gilt border panels, rebacked, red leather spine label printed in gilt. Very good.

100-leaf manuscript, rectos and most versos filled, wax seal remnants to front pastedown, leaves wavy at the edges, some spotting and marks to contents; contemporary calf-backed blue paper boards, gilt floral tools to spine compartments, binding marked and worn with spine cords partially exposed and loss of the blue paper, morocco label lacking, naphthalene smell, good condition, housed in a black cloth folding case. An unusual late 18th century manuscript on classical physics that cites Isaac Newton, Blaise Pascal, William Harvey, Henry Power, and others. The text, approximately 200 pages, presents an ordered and detailed account of a number of related topics: optics; hydrostatics and pneumatics; mechanics including simple machines such as the lever and screw, the behaviour of descending bodies, and pendulums; phosphorus and its chemical transformations; and fortifications and architecture. The notes are dense but generally neat and legible with carefully prepared diagrams, so this seems to be a fair copy rather than a working notebook. Newton is cited in the section on light and colour: 'What Sir I.N. has said by way of [?] in the last edit of his Opticks will appear to be an established truth from most if not all the following examples, some of which he mentions himself". And Harvey in a short section on chemical transformations: "Harvey had (says he) the opportunity as well as the curiosity upon several occasions to examine the weight of [?] when some of them taken up in places very distant from one another.'. The origin of much of the material is unclear, though the long section on hydrostaticks was taken from Hydrostatical and Pneumatical Lectures by Roger Cotes (1682-1716), originally published privately in 1738 and with a second edition at Cambridge in 1747. Cotes was 'probably the most talented British mathematician of the generation after Newton'. He was nominated as the first Plumian professor of astronomy at Cambridge in 1706 and 'his appointment was favoured by his influential mentor Richard Bentley, master of Trinity; by Newton's successor as Lucasian professor, William Whiston, who claimed to be in mathematics "a child to Mr Cotes" (Whiston, 133); and by Newton himself. In 1709 Cotes became heavily involved in the work for which he is best remembered, namely the revisions for the second edition of Newton's Philosophia naturalis principia mathematica, the first being out of print' (Oxford Dictionary of National Biography). Cotes died young, and Newton was reported to have said that, 'if he had lived we might have known something'. A number of Cotes's lectures and mathematical analyses were published posthumously by his executor Robert Smith, the Hydrostatical and Pneumatical Lectures being one of them. It is tempting to question whether other portions of the present manuscript are also based on Cotes's work, and further academic scrutiny might be fruitful.

Hardcover. Etat : Very Good. No Jacket. 1st Edition. COTES, ROGER (1682-1716). Hydrostatical and pneumatical lectures. London: for the Editor, 1738. FIRST EDITION. 8 vo. Contemp. calf, rebacked with raised bands and lea. label. (16), 243, (1, errata), (10, index, editor's ad, pub. ads) pp. Five folding engraved plates. Corners worn, a very good copy. "These lectures were among the earliest of their kind given in England. The appendix contains the only English translation of Newton's 'Scale of Degrees of Heat', his law of cooling. Also a paper by Halley and two by Dr. Jurin." (Biblio. mechanica, pp. 79-80). The editor of Cotes posthumous lectures was Robert Smith (1689-1768) who published his large and authoritative, 'A compleat system of opticks' in the same year. Babson/Newton, no. 343.

Hardcover. Etat : Very Good. No Jacket. 1st Edition. COTES, ROGER (1682-1716). Harmonia mensurarum, sive analysis & synthesis per rationum & angulorum mensuras promotae: accedunt alia opuscula mathematica edidit et auxit Robertus Smith. Cambridge, 1722. FIRST EDITION. 4 to. Contmep. calf, rebacked with corners strengthened, spine with gilt-ruled compartments and gilt lea. label. (20), 249, (3), 125, (1, errata) pp. An engraved plate + numerous woodcut text diagrams. Engraved armorial bookplate of James Parker Smith (1854-1929) of Jordanhill. Teart in leaf 169/170 with old repair - no losses, light browning of a few signatures, but a crisp, very good copy. Robert Smith (1689-1768), Cotes' cousin, assistant and successor at Trinity College, Cambridge edited Cotes' mathematical papers on his death. The D.S.B. comments: "then in great confusion, (they) were edited by Robert Smith and published as a book, 'Harmonia mensurarum' (1722). This work, which includes the 'Logometria' as its first part (Cotes' only life-time publication in 1714), gives an indication of Cotes's great ability. His style is somewhat obscure, with geometrical arguments preferred to analytical ones, and many results are quoted without explanation. What cannot be obscured is the original, systematic genius of the writer. This is shown most powerfully in his work on integration, in which long sequences of complicated functions are systematically integrated, and the results are applied to the solution of a great variety of problems." "Professor Morgan calls it 'the earliest work in which decided progress was made in the application of logarithms and of the properties of the circle to the calculus of fluents'. It is also the first complete treatise on the integral calculus" (Babson/Newton, First Suppl., p. 29). S.M. Stigler, 'Hist. statistics', 1986, p. 16. Tomash Lib. C184.

Hardcover. Etat : Very Good. 1st Edition. First edition, rare, of this work which contains the first publication of virtually all of Cotes's mathematical work. Cotes (1682-1716) was a brilliant mathematician who assisted Newton with the preparation of the second edition of 'Principia', and wrote its preface. His early death aged 33 caused Newton to lament: "Had Cotes lived we might have known something." "His untimely death accentuated his being one of the very few British mathematicians capable of following on from Newton's great work. His only publication during his life was an article entitled 'Logometria' (Phil. Trans., 1714). After his death his mathematical papers, then in great confusion, were edited by Robert Smith and published as a book, 'Harmonia mensurarum' (1722) [which] gives an indication of Cotes's great ability. His style is somewhat obscure, with geometrical arguments preferred to analytical ones, and many results are quoted without explanation. What cannot be obscured is the original, systematic genius of the writer. This is shown most powerfully in his work on integration, in which long sequences of complicated functions are systematically integrated, and the results are applied to the solution of a great variety of problems. Cotes first demonstrates that the natural base to take of a system of logarithms is the number which he calculates as 2.7182818. He then shows two ingenious methods for computing Briggsian logarithms (with base 10) for any number and interpolating to obtain intermediate values. The rest of part 1 is devoted to the application of integration to the solution of problems involving quadratures, arc lengths, areas of surfaces of revolution, the attraction of bodies, and the density of the atmosphere. His most remarkable discovery in this section (pp. 27-28) occurs when he attempts to evaluate the surface area of an ellipsoid of revolution. He shows that the problem can be solved in two ways, one leading to a result involving logarithms and the other to arc sines, probably an illustration of the harmony of differnt types of measure. By equating these two results he arrives at the formula ix = log(cos x + i sin x), a discovery preceding similar equations obtained by Moivre (1730) and Euler (1748). The second and longest part of the 'Harmonia mensurarum' is devoted to systematic integration. Cotes proceeds to evaluate the fluents [integrals] of no fewer than ninety-four types of fluxions . . . His calculation was aided by a geometrical result now known as Cotes's theorem . . . The third part consists of miscellaneous works, including papers on methods of estimating errors, Newton's differential method, the construction of tables by differences, the descent of heavy bodies, and cycloidal motion. There are two particularly interesting results here. The essay on Newton's differential method describes how, given n points at equidistant abscissae, the area under the curve of nth degree joining these points may be evaluated . . . A modernized form of this result is known as the Newton-Cotes formula. In describing a method for evaluating the most probable result of a set of observations, Cotes comes very near to the technique known as the method of least squares. He does not state this method as such; but his result, which depends on giving weights to the observations and then calculating their centroid, is equivalent. This anticipates similar discoveries by Gauss (1795) and Legendre (1806)" (DSB). 4to, pp. [20], 249, [3], 125, [1], with one folding table (some light browning and foxing). Contemporary polished calf, spine richly gilt with red lettering-piece (head of spine chipped, corners a little worn). A very good copy in an attractive, unrestored contemporary binding.

Leatherbound. Etat : 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. Pages: 336. A perfect gift for your loved ones. Reprinted from 1775 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. Language: English Pages: 336.

Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.

First Edition. 2 books in one. with numerous illustrations in text. sm,4to(25x20cm) (20),249pp & (2),125,(1)pp. three quarter modern calf binding.

Cambridge, 1722. 4to. In contemporary full calf with five raised bands with red leather title-label with gilt lettering to spine. Boards with a few scratches, missing small parts of the leather. corners bumped. Upper endbands showing. Upper outer corner with dampstain, primarily affecting first leaves, otherwise a good copy. Printed on good paper. (20), 249, (3), 125, (1) pp. + 1 folded plate. First edition of Cotes? important posthumously published work. Roger Cotes (1682-1716) published only one scientific paper in his lifetime, and the present work thus constitutes the earliest and main record of his mathematical achievements. According to Augustus de Morgan, this is 'the earliest work in which decisiveness progress was made in the application of logarithms and of the properties of the circle of the calculus of fluents'" it includes the first version of the Newton-Cotes formulas, the first introduction of Euler's formula, and the 'Cotes' theorum' of trigonometry. Furthermore, it contains the ?Earliest attempt to frame a theory of errors.? (Jungnickel, Cavendish: The Experimental Life, p. 150). Roger Cotes (1682?1716), much respected in his own right, is also known for working closely with Isaac Newton by proofreading the second edition of his famous book, the Principia, before publication. He became the first Plumian Professor at Cambridge University from 1707 until his death. When Cotes died Cambridge in 1716 at the early age of 33 Isaac Newton famously remarked, "If he had lived we would have known something." Tomash & Williams C184 Norman 519 Wallis 246 Babson (Supplement) 29.

Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextrnrnThis scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have.

LeatherBound. Etat : 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. Pages: 508. A perfect gift for your loved ones. Reprinted from 1742 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. Language: French Pages: 508.

LeatherBound. Etat : 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. Pages: 512. A perfect gift for your loved ones. Reprinted from 1742 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. Language: French Pages: 512.