‎Mathematics‎

‎"CLAIRAUT, (ALEXIS CLAUDE de).‎

‎Indledning til Geometrien. Öfversat ifrån Fransyska Språket.‎

‎Stockholm, Lars Salvius, 1744. Samtidigt hldrbd. Øverste rygfelt med bortslid af noget af skindet. Uden forreste friblad. (14),190,22 pp. samt 14 kobberstukne plancher.‎

‎First Swedish edition of Clairaut's renowned elementary geometry ""Élémens de géométrie"", 1741.Clairaut’s Élémens de géométrie is linked to the more liberal school. He wanted geometry to be rediscovered by beginners and therefore put together, for himself and for them, a very optimistic history of mathematical thought that reflected the concepts of his contemporaries Diderot and Rousseau. (DSB).""I intended to go back to what might have given rise to geometry"" and I attempted to develop its principles by a method natural enough so that one might assume it to be the same as that of geometry’s first inventors, attempting only to avoid any false steps that they might have had to take"" [Élémens de géométrie, preface].‎

Bookseller reference : 45459

‎"CLIFFORD, W.K. - N-DIMENSIONAL SPACES.‎

‎On the Classification of Loci. Received April 8, - Read May 1878.‎

‎(London, Harrison and Sons, 1880). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1878 - Vol. 169 - Part II. Pp. 663-681.‎

‎First printing of this paper on ""Clifford-Spaces"" is considered a classich in mathematics, - being a general study of curves it is an introduction to the study of n-dimensional space.Clifford, along with Hermann Grassmann, invented what is now termed geometric algebra, a special case being the Clifford algebras named in his honor, which are used in contemporary mathematical physics. He was the first to suggest that gravitation might be a manifestation of an underlying geometrical structure of the universe, and contributed the advancement of non-Euclidean geometry developed by Bernhard Riemann and Nikolai Ivanovich Lobachevsky. In his philosophical writings he coined the expression ""mind-stuff"". Clifford argued that energy and matter are simply different types of curvature of space. These ideas later played a fundamental role in Albert Einstein's general theory of relativity.‎

Bookseller reference : 45712

‎"CLAIRAUT, (ALEXIS-CLAUDE)‎

‎Sur quelques Questions de Maximis et Minimis.‎

‎(Paris, L'Imprimerie Royale, 1735). 4to. Without wrappers. Extracted from ""Mémoires de l'Academie des Sciences. Année 1733"". Pp. 186-194. Textfigs. Clean and fine.‎

‎First appearanceof an importent paper on the Calculus.""Clairaut’s ""Sur quelques questions de maximis et minimis"" (1733) was noteworthy in the history of the calculus of variations. It was written, as were all his similar works, in the style of the Bernoulli brothers, by likening the infinitesimal arc of the curve of three elementary rectilinear segments.""(DSB).‎

Bookseller reference : 46582

‎"CLEBSCH, RUDOLF FRIEDRICH ALFRED.‎

‎Ueber die simultane Integration linearer partieller Differentialgleichungen. - [FROBENIUS THEOREM]‎

‎Berlin, Georg Reimer, 1866. 4to. In ""Journal für die reine und angewandte Mathematik, 65. Band, 3 Heft, 1866"". In the original printed wrappers, without backstrip. Front wrapper with a brown mark to top left corner, otherwise fine and clean. [Clebsch:] Pp. 257-268. [Entire issue: Pp. 189-292, (2)].‎

‎First printing of Clebsch's paper in which the Frobenius theorem was introduced.Despite being named after Ferdinand Georg Frobenius, the theorem was first proven by Alfred Clebsch and Feodor Deahna. Deahna was the first to establish the sufficient conditions for the theorem, and Clebsch developed the necessary conditions. Frobenius is responsible for applying the theorem to Pfaffian systems, thus paving the way for its usage in differential topology.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)The issue also contain:Cayley, Sur un cas particulier de la surface du quatrieme ordre avec seize points singuliers, P. 284-290.‎

Bookseller reference : 45094

‎"CLEBSCH, A.‎

‎Ueber das Pfaffsche Problem.‎

‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Clebsch:] Pp. 193-251.‎

‎First printing of Clebsche's important paper on Pfaff invariants.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

Bookseller reference : 48048

‎"CLEBSCH, A. (+) J. STEINER.‎

‎Ueber diejenigen Probleme der Variationsrechnung, welche nur eine unabhängige Variable enthalten (+) Vermischte Sätze und Aufgaben.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Clebsch:] Pp. 335-355"" [Steiner)] Pp. 356-378.‎

‎First printing of these two important papers by Clebsch and Steiner.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

Bookseller reference : 48065

‎"CLAUSIUS, R. (RUDOLF)‎

‎Über die Intensität des durch die Atmosphäre reflectirten Sonnenlichts.‎

‎Berlin, G. Reimer, 1848. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 36. band, Heft 3, 1848. Entire third heft offered. Fine and clean. Pp. 185-244. [Entire volume: Pp. 185-282 + 3 plates.].‎

‎First printing of Clausius early and important paper on the influence of the atmosphere on sunlights.""In one paper, dealing mainly with the problem of reflected light in the sky, Clausius’ distinctive approach to many physical questions was already apparent: an excellent grasp of the fundamental facts and equations relevant to the phenomena, a microscopic model to account for them, and an attempt to correlate the two with mathematics. For example, Clausius imagined that the blue color of the sky arose from the preferential reflection of blue light from thin films of water. He postulated, therefore, the existence of water bubbles in the earth’s atmosphere and investigated mathematically the requisite conditions of number, size, and thickness."" (DSB).‎

Bookseller reference : 47537

‎"CLAIRAUT, (ALEXIS CLAUDE de).‎

‎Indledning til Geometrien. Öfversat ifrån Fransyska Språket.‎

‎Stockholm, Lars Salvius, 1744. Samtidigt hpergamentsbd. (14),190,22 pp. samt 14 kobberstukne plancher. Titelvignetten og andre vignetter og 3 foldeplancher kolorerede. Et par udsnit i titelbladet, hvor gl. ejernavne bortklippet. Uden teksttab. Lidt spredte brunpletter, men ganske velbevaret.‎

‎"CLAUSIUS, R. (RUDOLF)‎

‎Über die Intensität des durch die Atmosphäre reflectirten Sonnenlichts.‎

‎Berlin, G. Reimer, 1848. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 36. band, Heft 3, 1848. Entire third heft offered. Fine and clean. Pp. 185-244. [Entire volume: Pp. 185-282 + 3 plates.].‎

‎"CLEBSCH, A.‎

‎Ueber symbolische Darstellung algebraischer Formen. - [SEMINAL CONTRIBUTION TO THE SYMBOLIC METHOD IN INVARIANT THEORY]‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Clebsch:] Pp. 1-62.‎

‎"CLEBSCH, A. (+) J. STEINER.‎

‎Ueber diejenigen Probleme der Variationsrechnung, welche nur eine unabhängige Variable enthalten (+) Vermischte Sätze und Aufgaben.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Clebsch:] Pp. 335-355" " [Steiner)] Pp. 356-378.‎

‎"CLEBSCH, RUDOLF FRIEDRICH ALFRED.‎

‎Ueber die simultane Integration linearer partieller Differentialgleichungen. - [FROBENIUS THEOREM]‎

‎Berlin, Georg Reimer, 1866. 4to. In ""Journal für die reine und angewandte Mathematik, 65. Band, 3 Heft, 1866"". In the original printed wrappers, without backstrip. Front wrapper with a brown mark to top left corner, otherwise fine and clean. [Clebsch:] Pp. 257-268. [Entire issue: Pp. 189-292, (2)].‎

‎"CLIFFORD, W.K.‎

‎On Mr. Spottiswoode's Contact Problems.‎

‎(London, Harrison and Sons, 1874). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1874 - Vol. 164 - Part II. Pp. 705-717.‎

‎"COTES, ROGER.‎

‎Harmonia Mensurarum, sive Analysis & Sythensis per rationum & angulorum mensuras promotae: accedunt alia Opuscula Mathematica. - [""EARLIEST ATTEMPT TO FRAME A THEORY OF ERRORS""]‎

‎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

Bookseller reference : 60246

‎"COUSIN, P.‎

‎Sur les fonctions triplement périodiques de deux variables.‎

‎Berlin, Stockholm, Paris, Beijer, 1910. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 10. Including the title page. Fine and clean. Pp. 105-232.,‎

‎First printing of Cousin's extensive paper on periodic functions of two variables.‎

Bookseller reference : 46047

‎"COUSIN, PIERRE.‎

‎Sur les fonctions de n variables complexes. - [THE TWO COUSIN PROBLEMS]‎

‎Berlin, Stockholm, Paris, Beijer, 1895. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 19, 1895. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-62.[Entire volume: (4), 395 pp].‎

‎First printing of Cousin's important paper containing the first appearance of his two ""Cousin problems"": two questions in several complex variables, concerning the existence of meromorphic functions that are specified in terms of local data.‎

Bookseller reference : 49772

‎"COUSIN, P.‎

‎Sur les fonctions triplement périodiques de deux variables.‎

‎Berlin, Stockholm, Paris, Beijer, 1910. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 10. Including the title page. Fine and clean. Pp. 105-232.‎

‎"COUSIN, PIERRE.‎

‎Sur les fonctions de n variables complexes. - [THE TWO COUSIN PROBLEMS]‎

‎Berlin, Stockholm, Paris, Beijer, 1895. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 19, 1895. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-62.[Entire volume: (4), 395 pp].‎

‎"CRAMER, CHRISTIAN.‎

‎Anviisning til at føre sig de paa Dansk udkomne Skrifter om Mathematiqvens Grunde til Nytte. Udgiven efter Løfte som at Appendix til hans Regne-Bog.‎

‎Kjøbenhavn, Glasing, 1748. 8vo. In contenporary half calf. Traces from old paper-label to top of spine. Light wear to extremities. Internally nice and clean. 128, (6) pp. + 2 plates.‎

‎Exceedingly rare first edition of Cramer’s work on mathematics being the first Danish work on differential calculus.?Christian Cramer was a Danish mathematician active in the late 18th and early 19th centuries known for his work ""Arithmetica Tyronica"". This work is part of a collection of mathematical, arithmetical and geometrical writings attributed to him. Biblioteca Danica II, 22.‎

Bookseller reference : 62046

‎"CRAMER, CHRISTIAN.‎

‎Colloqvium Arithmeticum eller Vejvisning i Regnekonstens Grunde ved Sprørgsmaal og Giensvar ...‎

‎(Kiøbenhavn), N.L.Svare, (1762). Lille 8vo. Samtidigt hellæderbind. 152 pp. samt 1 planche (""Tælle=Tavle""), egenhændigt signeret af Cramer. Nogle få sider med tilskrift i gammel hånd, ellers usædvanlig ren.‎

‎"CROCKER, A.‎

‎The Elements of Land Surveying designed principally for the use of Schools and Students. Fourth Edition.‎

‎London, Longman, Hurst, Rees, Orme, (1817). Contemp. full calf. Leather at spine ends gone. Spine worn. Frontcover detached from spine. Large folded handcoloured map as frontispiece ""Plan of the Manor of North Hill"". Engraved titlepage with engraved vignette.XII,304 pp. + Publisher's Announcements. 14 engraved plates (incl. frontisp.), textillustrations and textdiagrams. Some scattered brownspots.‎

‎"D'ALEMBERT, JEAN LE ROND.‎

‎Sur les Tautochrones.‎

‎(Berlin, Haude et Spener, 1767). 4to. Without wrappers as issued in ""Memoires de l'Academie des Sciences et Belles Lettres"", tome XXI, pp. 381-413.‎

‎"DEMING, W. EDWARDS - GIVING BIRTH TO JAPAN'S INDUSTRIAL SUCCESS.‎

‎6 papers, all in offprints relating to Industrial Quality Control. 1. Some Principles of the Shewart Methods of Quality Control. (1944) - 2. Statistical techniques and international Trade. (1953). - 3. Die verantwortung der betriebsführung für die Anw...‎

‎Different Places, 1944-56. 8vo and 4to. 6 offprints as issued. Offprints from different Journals. Clean and fine.‎

‎First appearance of these papers in which Deming exposed his techniques of increasing production processes based on Shewart's methods of quality control. A number of Japanese manufacturers applied his techniques widely and experienced heretofore unheard-of levels of quality and productivity. The improved quality combined with the lowered cost created new international demand for Japanese products.""In 1950, W. Edwards Deming, at the request of the Union of Japanese Scientists and Engineers, give a series of lectures in Japan on Shewhart’s statistical quality control of industrial processes. These lectures were the catalyst that gave birth to Japan’s industrial efficiency and emphasis on highest attainable quality of manufactured products."" (DSB)..‎

Bookseller reference : 48798

‎"DEDEKIND, RICHARD.‎

‎Ueber die von drei Moduln erzeugte Dualgruppe. - [INTRODUCING THE NOTION ""LATTICE"" (DUALGRUPPE).]‎

‎Leipzig, B.G. Teubner, 1900. Orig. printed wrappers, no backstrip. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer. 53. Band, 3. Heft, 1900."" Pp. (289-)464. The whole issue (Heft 3) present with wrappers. Dedekind's paper: pp. 371-403.‎

‎First edition and first appearance in print of a fundamental paper in ""Lattice-Theory"".""dedekind's number-theoretic investigations led to the introduction of the notion of a ""lattice"" (under the name ""Dualgruppe""), at first implicitly and then explicitly. Dedekind studied the notion further, as a topic in itself, in two relatively lates articles:""eber Zerlegungen von Zahlen durch ihrer grössten gemeinsamen Teiler"" (1897) and ""Über die von drei Moduln erzeugte Dualgruppe"" (1900). (The paper offered). And while these articles did not have the same immediate and strong impact that several of his other works had, they were subsequently recognized as original, systematic contributions to lattice theory, especially the study of modular lattices."" (Stanford Encycl. of Philosophy).This issue of Mathematische Annalen also contains the importen memoir by MAX DEHN: ""Die Legendre'schen Sätze über die Winkelsumme im Dreieck."", pp. 404-39, in which he proves that there is a geometry in which the angle sum is two right angles, similar but noncongruent triangles exist, and an infinity of straight lines that are paralell to a given line may be drawn through a given point. Sommerville: Bibliography of Non-Euclidean Geometry: 1900:1).‎

Bookseller reference : 41241

‎"DEBYE, P. [PETER JOSEPH WILLIAM DEBYE].‎

‎Näherungsformeln für die Zylinderfunktionen für große Werte des Arguments und unbeschränkt veränderliche Werte des Index.‎

‎Leipzig, B.G. Teubner, 1909. 8vo. Original printed wrappers, no backstrip and a small nick to front wrapper. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. 67 Band. 4. Heft."" Entire issue offered. Internally very fine and clean. [Debye:] Pp. 535-58. [Entire issue: Pp. 433-575].‎