Write to the booksellers-
Type
Autograph (20)
Book (18557)
Magazine (13)
Manuscript (6)
Photographs (4)
-
Latest
Last 3 days (1)
Last month (33)
Last week (2)
-
Language
English (41)
French (18549)
German (2)
Japanese (1)
Latin (2)
Polish (1)
Portuguese (1)
Russian (1)
Spanish (1)
Swedish (1)
-
Century
16th (5)
17th (35)
18th (293)
19th (3723)
20th (11098)
21st (1435)
-
Countries
Belgium (395)
Côte d'Ivoire (19)
Denmark (1337)
France (16697)
Switzerland (152)
-
Syndicate
CLAM (8)
ILAB (16681)
NVVA (27)
SLACES (27)
SLAM (15309)
SNCAO (12)
Foundations of Mathématiques - symposium Papers Commemorating the sixtieth birthday of Kurt Gödel
Springer-Verlag Berlin and Heidelberg 1969 in8. 1969. Cartonné.
couverture ternie intérieur propre
MATHEMATIQUES, TERMINALE ES, ENSEIGNEMENT OBLIGATOIRE ET DE SPECIALITE
BREAL. 2002. In-8. Broché. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 408 pages. Quelques figures en noir et blanc, dans le texte.. . . . Classification Dewey : 510-Mathématiques
Classification Dewey : 510-Mathématiques
Vulgariser la science - Le procès de l'ignorance de Daniel Jacobi
Editions Champ Vallon ,01/09/1993, in-8 de 284 pages ,broché ,Bon état , .Isbn : 9782876730069.(2 photos du livre sur mon site https://www.vieuxlivre.fr) .Les frais de port pour la France sont offerts à partir de 25 euros d'achat (Mondial relay ). (colissimo suivi +6,90 ).
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).
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).
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].
First printing.
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.
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
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)
De resolutione aequationum per series infinitas.
(Berlin, G. Reimer, 1830). 4to. No wrappers. Extracted from""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle, 6. Band"". No backstrip. A fine and clean copy. [Jacobi:] pp. 257-286. [Entire issue: Pp. 215-310 + 1 folded plate.].
First printing of Jacobi's paper on infinit series. ""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."" (DSB)
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.
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.
First printing of Jacobi's short but highly important paper in which he prooved Faulhaber's formula.
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.].
First printing of Jacobi's proof an analytical formula. ""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."" (DSB)
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.
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].
First printing. ""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."" (DSB).
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.
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.
First appearance of Jacobi's very first paper on class number formula. The search for a class number formula probably began with Gauss, but the first formula in print was proposed by Jacobi (1832). He conjectured it on the evidence of some results of Cauchy in the theory of circle division, and his own brilliant extrapolation (or einduction"" as they called it then) from numerical results. Jacobi's formula was correct, but by no means proved by him. In a memorial speech for Jacobi, Dirichlet later said ""I believe it should be mentioned, regarding the previously unknown origin of this result, that Jacobi's communication is a noteworthyexample of shrewd induction, even though it is not possible to base a rigorous proof on circle division" it appears necessary to use essentially different principles, involving integral calculus and the theory of series, which were only later introduced into the subject. (Dirichlet, 1852).
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).
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.
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).
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.
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.
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.).
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.
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).
