‎Mathématiques‎

‎"JACOBI, C.G.J.‎

‎Uber die Differentialgleichung, welcher die Reihen 1 ± 2q etc. Geniige leisten (+) Über die particuläre Lösung der partiellen Diffenrentialgleichung ... (+)‎

‎Berlin, G. Reimer, 1848. 4to. In the original wrappers, no backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 36. Band, Zweites [2] Heft"". Entire issue offered. A fine and clean copy. Pp. 97-113. [Entire volume: 97-184, (4) pp. + 1 plate].‎

‎First printing of these two papers influential papers by Jacobi published in the epoch-making year 1848.""In the revolutionary year of 1848 Jacobi became involved in a political discussion in the Constitutional Club. During an impromptu speech he made some imprudent remarks which brought him under fire from monarchists and republicans alike. Hardly two years before, in the dedication of volume I of his Opuscula mathematica to Friedrich Wilhelm IV, he had expressed his royalist attitude"" now he had become an object of suspicion to the government. A petition of Jacobi’s to become officially associated with the University of Berlin, and thus to obtain a secure status, was denied by the ministry of education. Moreover, in June 1849 the bonus on his salary was retracted. Jacobi, who had lost his inherited fortune in a bankruptcy years before, had to give up his Berlin home. He moved into an inn and his wife and children took up residence in the small town of Gotha, where life was considerably less expensive."" (DSB).‎

書籍販売業者の参照番号 : 46354

‎"JACOBI, C. G. J.‎

‎Ueber eine besondere Gattung algebraischer Functionen, die aus der Entwicklung der Function (1 - 2xz + z2)1/2 entstehen. - [RODRIGUES'S FORMULA]‎

‎Berlin, G. Reimer, 1827. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 2. Band, 1827""., without backstrip. Fine and clean. [Gudermann:] Pp. 223-226. [Entire volue: Pp. 198-292 + two folded plates].‎

‎First printing of Jacobi's accouncement of the Rodrigues's formula (formerly called the Ivory-Jacobi formula). Rodrigues's formula is a formula for Legendre polynomials independently introduced by Olinde Rodrigues in 1816 and Sir James Ivory in 1824 and Carl Gustav Jacobi in 1827 [The present]. The name ""Rodrigues formula"" was introduced by Heine in 1878, after Hermite pointed out in 1865 that Rodrigues was the first to discover it, and is also used for generalizations to other orthogonal polynomials.‎

書籍販売業者の参照番号 : 47282

‎"JACOBI, C. G. J.‎

‎Untersuchungen über die Differentialgleichung der hypergeometrischen Reihe. - [JACOBI POLYNOMIALS]‎

‎Berlin, Georg Reimer, 1859. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 56, 1859. Entire volume offered. Fine and clean. 149-65 pp. [Entire volume: IV, 375, (1) pp.].‎

‎First printing of Jacobi's paper (published posthumously) in which Jacobi polynomials was first introduced. Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials. The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.‎

書籍販売業者の参照番号 : 49768

‎"JACOBI, C.G.J.‎

‎Über die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und höhern Transcendenten (+) Über einige der Binomialreihe analoge Reihen (+) Über eine neue Methode zur Integration der hyperelliptischen Differentialgleichungen ...‎

‎Berlin, G. Reimer, 1846. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 32. Band, Drittes Heft"". No backstrip. A fine and clean copy. Pp. 185-196" Pp. 197-204" Pp. 220-226.‎

‎First printing of three paper's by Jacobi on differential mathematics and Abelian functions.""Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international famenone of his gifted students could escape his spell: they were drawn into his sphere of thought, worked along the manifold lines he sug-gested, and soon represented a ""school"". C. W. Borchardt, E. Heine, L. O. Hesse, F. J. Richelot, J. Rosenhain, and P. L. von Seidel belonged to this circle"" they contributed much to the dissemination not only of Jacobi’s mathematical creations but also of the new research-oriented attitude in university instruction. The triad of Bessel, Jacobi, and Neumann thus became the nucleus of a revival of mathematics at German universities.."" (DSB)‎

書籍販売業者の参照番号 : 45783

‎"JACOBI, C. G. J.‎

‎Über die Abbildung eines ungleichaxigen Ellipsoids auf einer Ebene, bei welcher die kleinsten Theile ähnlich bleiben.‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Jacobi:] Pp. 74-88.‎

‎First printing.‎

書籍販売業者の参照番号 : 48051

‎"JACOBI, C. G. J.‎

‎Auflösungen und Beweise einer Reihe von Aufgaben und Lehrsätzen der ebenen Geometrie (+) Beweis eines geometrischen Satzes.‎

‎Berlin, G. Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 31 Band, 2. Heft, 1846"". In the original printed wrappers, without backstrip. Fine and clean. [Jacobi:] Pp. 93-110" " Pp. 178-180. [Entire issue: Pp. 93-180, (2) + 2 plates.].‎

‎"JACOBI, C. G. J.‎

‎De tranformatione integralis duplicis indefiniti in formam simpliciorem (I + II).‎

‎[Berling, G. Reimer, 1831]. 4to. As extracted, without backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1831. Fine and clean. Pp. 253-279" Pp. 321-357.‎

‎"JACOBI, C. G. J.‎

‎Elementarer Beweis einer merkwürdigen analytischen Formel, nebst einigen aus ihr folgenden Zahlensätzen.‎

‎Berlin, G. Reimer, 1840. 4to. In ""Journal für die reine und angewandte Mathematik, 1848."". Without backstrip. Fine and clean. Pp.: 13-32 [Entire volume: 13-100 pp.].‎

‎"JACOBI, C. G. J.‎

‎Nota de erroribus quibusdam geometricis, qui in theoria fonctionum leguntur.‎

‎Berlin, G. Reimer, 1837. 4to. In the original printed wrappers, without back strip. In ""Journal für die reine und angewandte Mathematik"", 16. band, Heft 4, 1837. Entire fourth heft offered. Fine and clean. Pp. 342-3. [Entire volume: Pp. 285-376 + 1 folded plate].‎

‎"JACOBI, C. G. J.‎

‎Observatio arithmetica de numero classium divisorum quadraticorum formae yy + Azz, designante A numerum primum formae 4n+3.‎

‎[Berlin, G. Reimer, 1832]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1832, Pp. 189-192.‎

‎"JACOBI, C. G. J.‎

‎Ueber eine besondere Gattung algebraischer Functionen, die aus der Entwicklung der Function (1 - 2xz + z2)1/2 entstehen. - [RODRIGUES'S FORMULA]‎

‎Berlin, G. Reimer, 1827. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 2. Band, 1827""., without backstrip. Fine and clean. [Gudermann:] Pp. 223-226. [Entire volue: Pp. 198-292 + two folded plates].‎

‎"JACOBI, C. G. J.‎

‎Über die Abbildung eines ungleichaxigen Ellipsoids auf einer Ebene, bei welcher die kleinsten Theile ähnlich bleiben.‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Jacobi:] Pp. 74-88.‎

‎"JACOBI, C.G.J.‎

‎De functionibus ellipticis commentatio.‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 4. Jacobi's paper: pp. 371-390.‎

‎"JACOBI, C.G.J.‎

‎De motu puncti singularis. - [SOLUTION TO THE INVERSE-SQUARE PROBLEM]‎

‎Berlin, G. Reimer, 1842. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 24. Band, erstes Heft"". No backstrip. A fine and clean copy. Pp. 5-27. [Entire issue: (6), 99 pp.].‎

‎"JACOBI, C.G.J.‎

‎Uber die Differentialgleichung, welcher die Reihen 1 ± 2q etc. Geniige leisten (+) Über die particuläre Lösung der partiellen Diffenrentialgleichung ... (+)‎

‎Berlin, G. Reimer, 1848. 4to. In the original wrappers, no backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 36. Band, Zweites [2] Heft"". Entire issue offered. A fine and clean copy. Pp. 97-113. [Entire volume: 97-184, (4) pp. + 1 plate].‎

‎"JACOBI, C.G.J.‎

‎Zur Theorie der ellipschen Functionen (+) Sur l'elimination des noeuds dans le probleme . - [JACOBI ON THE THREE-BODY PROBLEM]‎

‎Berlin, G. Reimer, 1843. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 26. Band, zwanzigster Heft"". No backstrip. A fine and clean copy. Pp. 93-114" " Pp. 115-131.‎

‎"JACOBI, C.G.J.‎

‎Über die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und höhern Transcendenten (+) Über einige der Binomialreihe analoge Reihen (+) Über eine neue Methode zur Integration der hyperelliptischen Differentialgleichungen ...‎

‎Berlin, G. Reimer, 1846. 4to. No wrappers. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 32. Band, Drittes Heft"". No backstrip. A fine and clean copy. Pp. 185-196" Pp. 197-204 " Pp. 220-226.‎

‎"JACOBI, C.G.J. - COINING THE WORD ""ABEL'S THEOREM""‎

‎De theoremate Abeliano observatio.‎

‎Berlin, G. Reimer, 1832. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 9. Bd. pp. 99-104.‎

‎"JACOBI, C.G.J. - PAVING THE WAY FOR DOUBLE PERIODIC FUNCTIONS.‎

‎De functionibus duarum variabilium quadrupliciter periodicis, quibus theoria transcendentium Abelianarum innititur.‎

‎(Berlin, G. Reimer, 1835) 4to. No wrappers as extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 13. Jacobi's paper: pp. 55-78.‎

‎"JESSEN, BØRGEN.‎

‎Bidrag til Integralteorien for Funktioner af uendelig mange Variable.‎

‎København, Gads Forlag, 1930. 4to. In the original printed wrappers. With author's presentation inscription to front wrapper: ""Hr Docent Dr Phil A. F. Andersen / fra deres hengivne / Børge Jessen"". Light sunning to extremities, otherwise fine and clean. 66 pp.‎

‎First edition of Jessen's doctoral thesis. He later elaborated the thesis into an article that was published in Acta Mathematica in 1934. The same year, he was appointed as a docent at The Royal Veterinary and Agricultural University in Denmark.Børge Christian Jessen (1907 – 1993) was a Danish mathematician best known for his work in analysis, specifically on the Riemann zeta function, and in geometry, specifically on Hilbert's third problem.‎

書籍販売業者の参照番号 : 59467

‎"JORDAN, CAMILLE.‎

‎Commentaire sur Galois.‎

‎Leipzig, B.G. Teubner, 1869. 8vo. Bound in later half cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 1., 1869. Entire volume offered. Library stamp to front free end-paper and title-page. Internally a few light brown spots.. Pp. 141-160. [Entire volume: Pp. IV-636.]‎

‎First printing of the very first issue of the influential mathematical journal ""Mathematische Annalen"" containing Camille Jordan famous paper on Galois group theory. ""When Jordan started his mathematical career, Galois's profound ideas and results (Which had remained unknown to most mathematicians until 1845) were still very poorly understood. Jordan was the first to embark on a systematic development of the theory of finite groups and of its applications in the directions opened by Galois. Chief among his first results were the concept of composition series and the first part of the famous Jordan-Hölder theorem, proving the invariance of the system of indexes of consecutive groups in any composition series (up to their ordering). He also was the first to investigate the structure of the general linear group and of the ""classical"" groups over a prime finite field, and he very ingeniously applied his results to a great range of problems" in particular, he was able to determine the structure of the Galois group of equations having as roots the parameters of some well-known geometric configurations (the twenty-seven lines on a cubic surface, the twentyhypheneight double tangents to a quartic, the sixteen double points of a Kummer surface, and so on).Another problem for which Jordan's knowledge of these classical groups was the key to the solution, and to which he devoted a considerable amount of effort from the beginning of his career, was the general study of solvable finite groups. From all we know today (in particular about p groups. a field which was started, in the generation following Jordan, with the Sylow theorems) it seems hopeless to expect a complete classification of all solvable groups which would characterize each of them, for instance by a system of numerical invariants. Perhaps Jordan realized this" at any rate he contented himself with setting up the machinery that would automatically yield all solvable groups of a given order n."" (DSB)""There have been few mathematicians with personalities as engaging as that of Galois, who died at the age of twenty years and seven months from wounds received in a mysterious duel. He left a body of work-for the most part published posthumously less than 100 pages, the astonishing richness of which was revealed in the second half of the nineteenth century. Far from being a cloistered scholar, this extraordinarily precocious and exceptionally profound genius had an extremely tormented life. A militant republican, driven to revolt by the adversity that overwhelmed him and by the incomprehension and disdain with which the scientific world received his works, to most of his contemporaries he was only a political agitator. Yet in fact, continuing the work of Abel, he produced with the aid of group theory a definitive answer to the problem of the solvability of algebraic equations, a problem that had absorbed the attention of mathematicians since the eighteenth century"" he thereby laid one of the foundations of modern algebra. The few sketches remaining of other works that he devoted to the theory of elliptic functions and that of Abelian integrals and his reflections. on the philosophy and methodology of mathematics display an uncanny foreknowledge of modern mathematics.""‎

書籍販売業者の参照番号 : 52165

‎"JOACHIMSTHAL, FERDINAND. - PRESENTATION COPY.‎

‎De Duabus Aequationibus quarti et sexti Gradus quae in Theoria linearum et superficierum Secundi Ordinis occurrunt. Commentatio Algebraica... Universitatum Litterarum Vratislaviensi..‎

‎Berlin, Typis Reimerianis, 1856. 4to.No wrappers as issued. (2),24 pp. Some additions in pencil on the first 3 pages. Inscribed on titlepage ""Viro amicissimo Kummer/ autore"" (Ernst Eduard Kummer, the famous mathematician, was Joachimsthal's teacher).‎

‎"KARHUNEN, KARI.‎

‎Über die Struktur stationärer zufälliger Funktionen.‎

‎Stockholm, Almqvist & Wiksells Boktryckeri AB, 1949. 8vo. In the original printed wrappers. Offprint from: ""Arkiv för matemativ, Utgivet av Kungl. Svenska Vetenskapsakademien"", Band 1, Nr 13. Previous owner's name to top of front wrapper. Pp. 141-160.‎

‎Scace offprint of Karhunen's paper on the structure of stationary random functions. Karhunen is famous for the Karhunen-Loève theorem and Karhunen-Loève transform.‎

書籍販売業者の参照番号 : 48891

‎"KEILL, IOANNES [JOHN KEILL] (+) CHRISTIANUS WOLFFIUS [CHRISTIAN WOLFF].‎

‎Epistola ad Clarissimum Virum Christianum Wolfium in Academia Regio Fridericiana Mathematum Professorem [Keill] (+) Responsio ad epistolam viri clarissimi Johannis Keill (+) Monitum circa experimentum de circulatione aeris per poros ligni [Wolf].‎

‎Leipzig, Grosse & Gleditsch, 1710. 4to. In: ""Acta Eruditorum Anno MDCCX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamps to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 11-15" Pp. 78-80 Pp. 80-1. [Entire volume: Pp. (4), 535, (37) + seven engraved plates.].‎

‎First publication of the dispute between the mathematician Keill and philosopher Wolf about the existence of vacuum. Wolf is widely regarded the most eminent German philosopher between Leibniz and Kant.The offered volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎

書籍販売業者の参照番号 : 44263

‎"KEES, F. K. [FRIEDRICH KÖES].‎

‎Ratio Complanandi Superficies Curvas Corporum quorumlibet Geometricorum.‎

‎Leipzig, Grosse & Gleditsch, 1729. 4to. In: ""Actorum Eruditorum Supplementa Tomus IX"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. Two small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with various browning to leaves and plates. Pp. 45-50. [Entire volume: (2), 509, (24), + two engraved plates.].‎