‎Mathématiques‎

‎"IBM.‎

‎Electric Punched Card Accounting Machines. Customer Engineering Manual of Instruction. Card Sorting Machine 82-80-75.‎

‎New York, International Business Machines Corporation, (1957). Royal8vo. Bound in the original printed grey wrappers. Minor wear to extremities, otherwise a very nice and clean copy. 84 pp. (herein 3 plates included) + large folded unattached diagram.‎

‎"INDRA, ALOIS. - BALLISTICS.‎

‎Die wahre Gestalt der Spannungscurve. Experimentelle Untersuchungen über die Spannung-Verhältnisse der Pulvergase in Geschützrohren.‎

‎Wien, R.v. Waldheim, 1901. Contemp. hcalf. Gilt spine. Somewhat rubbed. Stamps on titlepage. X,(1),310 pp. and 5 large folded lithographed plates. Internally fine and clean.‎

‎"IVORY, JAMES.‎

‎On the development of the disturbing Function, upon which depend the inequalities of the motions of the Planets, caused by their mutual attraction. Received May 30, - Read June 20, 1833.‎

‎(London, Richard Taylor, 1833). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1833 - Part II. Pp. 559-592. Clean and fine.‎

‎First printing of a major paper by James Ivory.""Ivory's scientific reputation, for which he was awarded many honours during his lifetime, including knighthood of the Order of the Guelphs, Civil Division (1831), was founded on the ability to understand and comment the work of the French analysts rather than any great originality of his own...Ivory's work, conducted with great industry over a long period, helped to foster in England a new interest in the application of analysis to physical problems."" (DSB VII. p. 37).‎

書籍販売業者の参照番号 : 42623

‎"IVORY, JAMES.‎

‎On the Grounds of the Method which Laplace has given in the second Chapter of the third Book of his Mécanique Céleste for computing the Attractions of Spheroids of every Description. Read July 4, 1811. (+) II. On the Attractions of an extensive Class ...‎

‎(London, W. Bulmer and Co., 1812). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1812 - Part I. Pp. 1-45 a. 46-82. A small loss of paper in inner margin of first leaf. No loss of text. Fine and clean.‎

‎"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.].‎

‎First printing of two papers by Jacobi on geometry.""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 fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues."" (DSB).‎

書籍販売業者の参照番号 : 45143

‎"JACOBI, CARL G.J.‎

‎Collection of 4 Memoirs: 1. De formatione et proprietatibus Determinantium. 2. De determinantibus functionalibus. 3. De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum. - 4. Zum combinatorischen Analysis. - [INTRODUCING ""DETERMINANTS"" AND ""JACOBIANS""]‎

‎Berlin, G. Reimer, 1841. 4to. Without wrappers as Heft 4 in ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. 22, heft 4. Titlepage to Heft 4. and pp. 285-380 +(2) pp. and 1 engraved plate. Jacobis papers: 1. pp. 285-318, 2. pp. 319,359, 3. pp. 360-371 and 4. pp. 372-374.‎

‎First printing of 2 importent and influential papers by Jacobi. In 1841 ""Carl Jacobi (1804-1851) develops the theory of determinants, including mention of the ""functional determinant"" or ""Jacobian"" in his paper ""De formatione et proprietatibus Determinantium"" (the first paper offered here). Later in the same year hepublishes a further development specifically of the theory of acobians in the memoir ""De determinantibus functionalibus"" (the second paper offered here). He shows for instance,that the Jacobian of a set of n functions in n variables is identically zero if and only if the functions are mutually dependent. Although functional determinants had been used earlier, they are later named after Jacobi due to his extensive development of their properties."" (Claire L. Parkinson in Breakthroughs).‎

書籍販売業者の参照番号 : 40627

‎"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.‎

‎First printing of a key memoir in the establishment of ""Elliptic Functions"". The acknowledged founders of the theory of ""Elliptic Functions"" are Abel and Jacobi. Both had arrived at the key idea of working with inverse functions of the elliptic integrals, an idea Abel had since 1823. Jacoby next gave proof of the results he had published in 1827 ( a paper published in ""Astronomische Nachrichten"" in several articles in Crelle's Journal for the years 1828-30, -the offered paper is one of these.""The most celebrated results of his research were those in elliptic functions, published in 1829, which brought him the praise of Legendre.""(Boyer). The offred paper was incorporated in Jcobi's main work ""Fundamenta nova theoriae functionum ellipticarum"", published 1829.‎

書籍販売業者の参照番号 : 41615

‎"JACOBI, C.G.J.‎

‎De functionibus ellipticis commentatio. - [ELLIPTIC FUNCTIONS]‎

‎(Berlin, G. Reimer, 1829). 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 4. Band"". No backstrip. A fine and clean copy. [Jacobi:] pp. 371-390. [Entire issue: Pp. 311-422 + 1 folded plate].‎

‎First printing of a key memoir in the establishment of ""Elliptic Functions"". The acknowledged founders of the theory of ""Elliptic Functions"" are Abel and Jacobi. Both had arrived at the key idea of working with inverse functions of the elliptic integrals, an idea Abel had since 1823. Jacoby next gave proof of the results he had published in 1827 ( a paper published in ""Astronomische Nachrichten"" in several articles in Crelle's Journal for the years 1828-30, -the offered paper is one of these.""The most celebrated results of his research were those in elliptic functions, published in 1829, which brought him the praise of Legendre.""(Boyer). The offred paper was incorporated in Jcobi's main work ""Fundamenta nova theoriae functionum ellipticarum"", published 1829. Selvom‎

書籍販売業者の参照番号 : 45095

‎"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.].‎

‎First printing of this important memoire by Jacobi in which Jacobi presented his solution to the inverse-square problem. ""In a memoir written in Latin, Jacobi published in 1842 a simple, concise, and elegant solution of the inverse-square problem. This note argues that Jacobi's solution has not attracted the attention that it deserves and that it should prove valuable to teachers and students in introductory mechanics courses. A translation of the excerpt in which Jacobi describes his solution is given, and the method is then recast in the now more familiar language of vectors."" (Gauthier)‎

書籍販売業者の参照番号 : 47254

‎"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.‎

‎First printing.‎

書籍販売業者の参照番号 : 47331

‎"JACOBI, C. G. J.‎

‎Nachrichten von Büchern. - [JACOBI'S REVIEW OF LEGENDRE]‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 413-17.‎

‎First appearance of Jacobi's review of Legendre's third supplement to his Traité des fonctions elliptiques et des intégrales eulériennes. The review has often been used by historians of mathematics to document the good relationship between Legendre and Jacobi.‎

書籍販売業者の参照番号 : 49050

‎"JACOBI, C. G. J.‎

‎Note sur une nouvelle application de l'analyse des fonctions elliptiques à l'algèbre.‎

‎Berlin, G. Reimer, 1831. 4to. Contemporary binding with marbled paper over boards. In ""Journal für die reine und angewandte Mathematik"", 7. band, Heft 1, 1831. Entire heft 1. offered. Fine and clean. Pp. 41-43. [Entire offered volume: IV, 104 pp.].‎

‎First printing of Jacobi's paper on elliptic function theory.‎

書籍販売業者の参照番号 : 47539

‎"JACOBI, C.G.J. - KINETICS OF THE TOP.‎

‎Sur la rotation d'un corps.‎

‎(Berlin, Georg Reimer, 1850). 4to. Later marbled wrappers. In ""Journal für die reine und angewandte Mathematik, 39. Band, 24 Heft. Jacobi's paper takes up the whole issue . pp. 293-350.‎

‎First printing of main paper in Rigic Body Dynamics, where Jacobi studied the motion of a top and derived the analytic solution for the motion of a free body and defined the so-called ""Jacobi analytic functions"". The problem was first treated by Leonhard Euler in 1758 in the case where the fixed point is the centre of gravity of the top, but it was Jacobi who first solved the problem completely, making use of elliptic functions which he himself had introduced.‎

書籍販売業者の参照番号 : 46889

‎"JACOBI, C.G.J.‎

‎Ueber die Entwicklung des Ausdrucks.‎

‎Berlin, G. Reimer, 1843. 4to. In the original wrappers, no backstrip. In ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 26. Band, Ersters [1] Heft"". Entire issue offered. A fine and clean copy. Pp. 81-87. [Entire volume: 92, (4) pp.].‎

‎First printing.‎

書籍販売業者の参照番号 : 46283

‎"JACOBI, C. G. J.‎

‎Ueber die integration der partiellen differentialgleichungen erster ordnung.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 317-329 [Entire extract: Pp. 307-346 ].‎

‎First appearance of Jacobi's paper on the integration of partial differential equations of first order.""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 fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues."" (DSB).‎

書籍販売業者の参照番号 : 49049

‎"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.‎

‎First printing of Jacobi's paper (Sur l'elimination ...) in which ""he showed how to reduce a general three-body problem - that of the motion of two planets about the Sun - to a problem of the motion of two fictive bodies. He subjected the masses, positions and velocities of these fictive bodies to the restrictions that their centre of gravity should be identical to that of the original system, and their accelerations derivable from the force function for that system"" the total force vive was the same, and the conservation of areas still held."" (Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences: v. 2, 1056 p.).‎

書籍販売業者の参照番号 : 45784

‎"JACOBI, C.G.J.‎

‎Über die unmittelbare verification einer Fundamentalformel der Theorie der elliptischen Functionen (+) Über die partielle Differentialgleichung, welcher die Zähler und Nenner der elliptischen Functionen.‎

‎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, Erstes [1] Heft"". Entire issue offered. A fine and clean copy. Pp. 75-89. [Entire volume: IV, (2), 96, (2) pp.].‎

‎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 : 46355

‎"JACOBI, C. G. J.‎

‎Über die Pfaffsche Methode, eine gewöhnliche lineare Differentialgleichung zwischen 2n Variabein durch ein System von n Gleichungen zu integriren.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 347-57 [Entire extract: Pp. 347-384 ].‎

‎First appearance of Jacobi's paper on the Pfaffian method. ""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 fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues."" (DSB).‎

書籍販売業者の参照番号 : 49048

‎"JACOBI, C. G. J.‎

‎Auszug aus einem Schreiben des Herrn Prof. Dr. C. G. J. Jacobi zu Königsberg i. Pr., an den Herrn Prof. Dr. J. Steiner zu Berlin.‎

‎[Berlin, G. Reimer, 1834]. 4to. Without wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", 1834, Pp. 137-140. [Entire offering: Pp. 137-180].‎

‎"JACOBI, C. G. J.‎

‎De usu legitimo formulae summatoriae Maclaurinianae.‎

‎Berlin, G. Reimer, 1834. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 12 Band, 1834"". Fine and clean. Pp. 263-72.‎

‎"JACOBI, C. G. J.‎

‎Nachrichten von Büchern. - [JACOBI'S REVIEW OF LEGENDRE]‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 413-17.‎

‎"JACOBI, C. G. J.‎

‎Note sur une nouvelle application de l'analyse des fonctions elliptiques à l'algèbre.‎

‎Berlin, G. Reimer, 1831. 4to. Contemporary binding with marbled paper over boards. In ""Journal für die reine und angewandte Mathematik"", 7. band, Heft 1, 1831. Entire heft 1. offered. Fine and clean. Pp. 41-43. [Entire offered volume: IV, 104 pp.].‎

‎"JACOBI, C. G. J.‎

‎Ueber die integration der partiellen differentialgleichungen erster ordnung.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 317-329 [Entire extract: Pp. 307-346 ].‎

‎"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.].‎

‎"JACOBI, C. G. J.‎

‎Über die Pfaffsche Methode, eine gewöhnliche lineare Differentialgleichung zwischen 2n Variabein durch ein System von n Gleichungen zu integriren.‎

‎Berlin, G. Reimer, 1832. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 1832, band 8"". Without backstrip. Fine and clean. Pp. 347-57 [Entire extract: Pp. 347-384 ].‎