‎Mathématiques‎

‎"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)‎

Referenz des Buchhändlers : 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.‎

Referenz des Buchhändlers : 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.‎

Referenz des Buchhändlers : 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.‎

Referenz des Buchhändlers : 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.""‎

Referenz des Buchhändlers : 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.‎

‎"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

Referenz des Buchhändlers : 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.‎

Referenz des Buchhändlers : 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].‎

‎"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.‎

Referenz des Buchhändlers : 49772

‎"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.‎

Referenz des Buchhändlers : 48857

‎"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.‎

‎"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.‎

Referenz des Buchhändlers : 49763

‎"D'ALEMBERT (ALEMBERT), (JEAN le ROND). - LAMBERT, JOHANN HEINRICH.‎

‎Extrait de différentes Lettres de Mr. D'Alembert á Mr. de la Grange (+) Suite de L'Extrait...(+) Suite de L'Extrait...(3 Parts) - Obserbations sur les Diviseurs des Ëquations d'un Degré quelconque qui peuvent etre trouvés indépendamment de la Sol...‎

‎(Berlin, Haude et Spener, 1770). 4to. No wrappers, as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", L'Année 1763, tome XIX, , pp. 235-254 + pp. 255-266 + pp. 267-291. Lambert's paper: pp. 292-310.‎

‎"D'ALEMBERT, JEAN LE ROND. - D'ALEMBERT'S THEOREM - THE FUNDAMENTAL THEOREM OF ALGEBRA.‎

‎Recherches sur le Calcul Intégral. Premier - (Seconde) Partie. (+) Suite des Recherches sur le Calcul Intégral. (= Troisieme Partie). (+) Additons aux Recherches sur le Calcul Integral. (+) Errata pour les Mémoires, imprimés dans les Volumes de 1746, ...‎

‎Berlin, Haude et Spener, 1848-52. 4to. No wrappers as extracted from ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", tome II (1846), tome IV, tome VI a. tome VI. Pp. 182-224, pp. 249-291, pp. (361-) 378, pp. 413-416 and 1 folded engraved plate.‎

‎"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.‎

Referenz des Buchhändlers : 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).‎

Referenz des Buchhändlers : 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

Referenz des Buchhändlers : 44919

‎"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)..‎

Referenz des Buchhändlers : 48798

‎"DIRICHLET, G. LEJEUNE. - THE INTRODUCTION OF THE ""DIRICHLET SERIES""‎

‎Recherches sur diverses applications de L'Analyse infinitésimale à la Théorie des Nombres. Premiere - Seconde artie. (2 Papers).‎

‎Berlin, G. Reimer, 1839-40. 4to. Without wrappers. Extracted from: ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 19 a. Bd. 21, pp. 324-369 a. pp. 1-12.. 4 leaves in part 1 with browning, due to the poor paperquality.‎

‎First appearance of this importent paper in which he introduces the ""Dirichlet series"", applicating analysis to the theory of numbers. The paper is especially known for its central use of the limiting proces.‎

Referenz des Buchhändlers : 41972

‎"DIRICHLET, GUSTAV PETER LEJEUNE.‎

‎Solution d'une question relative à la théorie mathematique de la chaleur.‎

‎Berlin, G. Reimer, 1830. 4to. No wrappers. As extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 5. Band"". No backstrip. A fine and clean copy. 287-295 pp. [Entire issue: 287-318 pp].‎

‎First printing of Dirichlet's paper in which he uses his methods to simplify the treatment of a problem by Fourier (theory of Fourier series): the temperature distribution in a thin bar with given temperatures at the endpoints.‎

Referenz des Buchhändlers : 45782

‎"DIRICHLET, LEJEUNE (+) DEDEKIND.‎

‎Untersuchungen über ein Problem der Hydrodynamik [Dirichlet] (+) Zusatz zu der vorstehenden Abhandlung [Dedekind].‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1861, band 58. Without backstrip. Fine and clean. Pp. 181-228.‎

‎First printing of these two important papers on gravitational interaction from bodies, such pseudo-rigid bodies, thereby ""opened a new direction"", a direction which later inspired Riemann to turn his attention to the problem""Without the gravitational interaction from another body, such pseudo-rigid bodies havereceived attention in many references. The interest was initiated by Newton in Principia, where he showed that a spinning axi-symmetric self-gravitating body of ?uid that is rotating slowly about the symmetry axis will be oblate. Jacobi in 1834 extended the work of Newton, but also work of Maclaurin, to show that a self-gravitating ?uid also can take on ellipsoidal shapes. The solutions of Jacobi, Maclaurin and Newton were, however, still all rigid. In a frame rotating with the body the ?uid is stationary. Dirichlet and Dedekin, [in the present two papers], respectively, opened a new direction when they found a symmetry that applied to Jacobi's solution generated a new solution in which the body isstationary in shape but the ?uid particles follow elliptical paths in planes orthogonal to a principle axis of the ellipsoid. Dirichlet's paper inspired Riemann to turn his attention to the problem. He gave a classi?cation of the solutions of Dirichlet's equations for which the ellipsoidal shape of the body remains constant. At the heart of this classi?cation lies what is now known as Riemann's theorem: the angular velocity and circulation (i) lie in the same principle plane and (ii) if the angular velocity is parallel to a principle axis then the circulation vector must also lie along that same principle axis."" (Kristiansen, The two-body problem of a pseudo-rigid body and a rigid sphere)‎

Referenz des Buchhändlers : 49315

‎"DUBISLAV, WALTER. - DEDICATION COPY.‎

‎Die Philosophie der Mathematik in der Gegenwart.‎

‎Berlin, Junker und Dünnhaupt, 1932. Lex8vo. Orig. printed wrappers. A small nick to frontwrapper at top of spine. Stamps on halftitle and foot of titlepage. VIII,88 pp. Inscribed from the author on halftitle (to Jørgen Jørgensen) ""Mit den besten Grüssen vom Verf./ übersandt"". From the library of the Danish logician and philosopher Jørgen Jørgensen with his name on frontwrapper.‎

‎First edition (Philosophische Forschungsberichte Heft 13).Dubislav was joint founder (with Hans Reichenbach and Kurt Grelling) of the 'Berlin Society for Empirical (later: Scientific) Philosophy' (Berliner Gesellschaft für empirische Philosophie), which, along with the Vienna Circle, is one of the points of origin of logical empiricism. The founding members of the Berlin Circle were listed as sympathisers within the Vienna Circle.Dubislav focused on a logical and mechanistic foundation of mathematics and physics, influenced by Bernard Bolzano's ""Theory of Science"" (Wissenschaftslehre). He presented a formalised account of Gottlob Frege's theory of definitions.‎

Referenz des Buchhändlers : 48033

‎"EISENSTEIN, G. [GOTTHOLD].‎

‎Allgemeine Untersuchungen über die Formen dritten Grades mit drei Variabeln, welche der Kreistheilung ihre Entstehung verdanken.‎

‎Berlin, G. Reimer, 1844. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 28 Band, 4. Heft, 1844"". Without wrappers and backstrip. Fine and clean. [Eisenstein:] Pp. 289-374. [Entire issue: 289-380 + 2 folded plates].‎

‎"EISENSTEIN, G. [GOTTHOLD].‎

‎Einfacher Beweis und Verallgemeinerung des Fundamentaltheorems für die biquadratischen Reste (+) Geometrischer Beweis des Fundamentaltheorems für die quadratischen Reste.‎

‎Berlin, G. Reimer, 1844. 4to. In ""Journal für die reine und angewandte Mathematik, 28 Band, 3. Heft, 1844"". In the original printed wrappers, without backstrip. Last leaf with repair. Fine and clean. [Eisenstein:] Pp. 223-245" " Pp. 246-247. [Entire issue: 193-288, (2), + two folded plates.]‎