‎Mathématiques‎

‎"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].‎

Ссылка продавца : 45459

‎"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.‎

‎"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).‎

Ссылка продавца : 46582

‎"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).‎

Ссылка продавца : 47537

‎"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)‎

Ссылка продавца : 48048

‎"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.‎

‎First printing of Clebsch's early and founding paper on the symbolic method in invariant theory. The Symbolic method is based on treating the form as if it were a power of a degree one form, which corresponds to embedding a symmetric power of a vector space into the symmetric elements of a tensor product of copies of it.""Clebsch completed the symbolic calculus for forms and invariants created by Aronhold, and henceforth one spoke of the Clebsch-Aronhold symbolic notation. Clebsch’s own contributions in this field of algebraic geometry include the following. With the help of suitable eliminations he determined a surface of order 11n - 24 intersecting a given surface of order n in points where there is a tangent that touches the surface at more than three coinciding points. For a given cubic surface he calculated the tenth-degree equation on the resolution of which the determination of the Sylvester pentahedron of that surface depends. For a plane quartic curve Clebsch found a remarkable invariant that, when it vanishes, makes it possible to write the curve equation as a sum of five fourth-degree powers. At the end of his life Clebsch inaugurated the notion of a ""connex,"" a geometrical object in the plane obtained by setting a form containing both point and line coordinates equal to zero."" (DSB)‎

Ссылка продавца : 48050

‎"CLEBSCH, A.‎

‎Zur Theorie der algebraischen Flächen (+) Ueber eine Transformation der homogenen Funktionen dritter Ordnung mit vier Veränderlichen.‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 58. Band, 1861"". Without backstrip. Fine and clean. Pp. 93-126.‎

‎First printing of these two important papers on Quaternary cubics (a degree 3 homogeneous polynomial in four variables).‎

Ссылка продавца : 49316

‎"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)‎

Ссылка продавца : 48065

‎"CLEBSCH, A. [RUDOLF FRIEDRICH ALFRED].‎

‎Ueber die ebene Abbildung der geradlinigen Flächen vierter Ordnung, welche eine Doppelcurve dritten Grades besitzen.‎

‎Leipzig, B.G. Teubner, 1870. 8vo. In ""Mathematische Annalen, 2. Band, 3. Heft, 1870"". In the original printed wrappers, without backstrips. Back wrappers with a few nicks. [Clebsch:] Pp. 504-13. [Entire issue: 385-514 pp].‎

‎First printing.‎

Ссылка продавца : 45261

‎"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.‎

Ссылка продавца : 45094

‎"CLEBSCH. [RUDOLF FRIEDRICH ALFRED].‎

‎Ueber den Zusammenhang einer Classe von Flächenabbildungen mit der Zweitheilung der Abel'schen Functionen (+) Ueber die Bewegung eines Körpers in einer Flüssigkeit (+) Ueber die Bedeutung einer simultanen Invariante einer binären quadratischen und ein...‎

‎Leipzig, B.G. Teubner, 1871. 8vo. Bound in black full cloth with gilt lettering to spine. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 3. Band, 1871"". Entire issue offered. Two library labels pasted on to pasted down front free end-paper and small blue library stamp to verso of title page. Small write bar-code pasted on to top left corner of front board. A fine and clean copy. [Clebsch:] Pp. 45-75" Pp. 238-262 Pp. 263-264" Pp. 265-267. [Entire issue: IV, 632 pp.].‎

‎First printing of four important paper by the influential German mathematician. ""In 1868 Gordan had already proved the precursory theorem on the finiteness of binary invariants. The theory of binary invariants thus being more complete, Clebsch published a book on this part of the theory (1872), giving a summary of the results obtained [In the offered papers]"". (DSB). In 1868 he and his friend Carl Neumann, son of Franz Neumann, founded the Mathematische Annalen.‎

Ссылка продавца : 45059

‎"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.‎

‎First printing of one of Clifford's papers in geometry.""William Clifford (1845-1879) was an important mathematician of his day. He is most remembered today for his invention of Clifford algebras, which are fundamental in modern differential geometry and mathematical physics. His ideas on the connection between energy and matter and the curvature of space were important in the eventual formulation of general relativity. Clifford was particularly interested in non-Euclidean geometry. However, in his relatively brief career, he made contributions to diverse fields of mathematics: elliptic functions, Riemann surfaces, biquaternions, motion in Euclidean and non-Euclidean space, spaces of constant curvature, syzygies, and so on.""‎

Ссылка продавца : 49411

‎"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.‎

Ссылка продавца : 45712

‎"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

Ссылка продавца : 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.‎

Ссылка продавца : 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.‎

Ссылка продавца : 49642

‎"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].‎

‎"COX, DAVID ROXBEE (+) ET AL.‎

‎Some properties of multiserver queues with appointments (+) Regression models and life-tables (+) The continuity correction (+) Recent work on the design of experiments - a bibliography and a review (+) On distribution and their transformation to nor... - [LARGE COLLECTION OF OFFPRINTS]‎

‎[Various places and printers], 1962 - 1981. Collection of 36 offprint from various academic journals. All with wrappers (or as issued) and in fine condition. A few of them with ""Cox"" written to top of front wrapper. Housed in two black kasetts.‎

‎Large collection of offprints by British statistician David Cox who made pioneering and important contributions to numerous areas of statistics and applied probability, of which the best known is perhaps the proportional hazards model, which is widely used in the analysis of survival data. An example is survival times in medical research that can be related to information about the patients such as age, diet or exposure to certain chemical substances. The Cox process was named after him.‎

Ссылка продавца : 48857

‎"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.‎

Ссылка продавца : 62046

‎"CRELLE, AUGUST LEOPOLD.‎

‎Mémoire sur la décomposition des fractions algébriques.‎

‎[Berlin, G. Reimer, 1832]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1832, Pp. 231-58.‎

‎First printing of Crelle's paper on the decomposition of algebraic fractions.‎

Ссылка продавца : 49763

‎"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.‎

‎"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].‎

‎First printing of Debye's early paper on the method of the steepest descent. Debye used it to estimate Bessel functions.In mathematics, the method of steepest descent is an extension of Laplace's method for approximating an integral, where one deforms a contour integral in the complex plane to pass near a stationary point in roughly the direction of steepest descent or stationary phase.""Debye was not only a brilliant and original scientist but also a wise and shrewd man of the world. In the performance of administrative duties in Berlin, he had to spend a great deal of time dealing with Nazi bureaucrats. He had retained his Dutch citizenship when he came to Berlin, having been told by the minister of education that he would not be required to become a German citizen. However, not long after World War II broke out, he was informed that he could not enter his laboratory if he did not become a German citizen. He refused to do so and soon succeeded in getting to the United States, where he became a citizen in 1946. He had lectured many times in the United States and had declined offers of professorships at many leading universities"" but he now gave the Baker Lectures at Cornell University and was appointed professor of chemistry and head of the chemistry department there, positions which he held from 1940 to 1950, when he became professor emeritus. He continued active in research and consultation until the end of his life. The first ten years at Ithaca produced the work on light scattering, his last great contribution. Debye's many achievements were recognized by his election to membership in some twenty-two academies throughout the world and the award of twelve medals and eighteen honorary degrees."" (DSB).The issue also contains: Klein, Felix. Über Selbstspannungen ebener Diagramme. Pp. 433-444.‎

Ссылка продавца : 44527

‎"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).‎

Ссылка продавца : 41241

‎"DEDEKIND, VON R.‎

‎Ueber Gruppen, deren sämmtliche Theiler Normaltheiler sind. - [FIRST PRINTING OF DEDEKIND GROUP / HAMILTONIAN GROUP]‎

‎Leipzig, B.G. Teubner, 1897. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. 48. Band. 4. Heft."" Entire issue offered. Minor soiling to back wrapper, internally fine and clean. [Dedekind:] Pp. 548-61. [Entire issue: 433-606, (2) pp.].‎

‎First printing of Dedekind groups, named named after Richard Dedekind, who investigated them in proving a form of the above structure theorem (for finite groups). He named the non-abelian ones after William Rowan Hamilton, the discoverer of quaternions.In group theory, a Dedekind group is a group G such that every subgroup of G is normal. All abelian groups are Dedekind groups. A non-abelian Dedekind group is called a Hamiltonian group‎

Ссылка продавца : 44919