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‎"HILBERT, DAVID. - HABILITATIONS THESIS.‎ ‎Ueber einen allgemeinen Gesichtspunkt für invariantentheorietische Untersuchungen im binären Formengebiete.‎ ‎Leipzig, B.G. Teubner, 1887. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Alfred Clebsch und Carl Neumann. 28. Band. 3. Heft."". (Entire issue offered). Pp. 309-456. Hilbert's paper: pp. 381-446.‎ ‎This is Hilbert's ""Habilitationsschrift"", a fundamental work on algebraic invariants.‎ 書籍販売業者の参照番号 : 45870	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"ZORAWSKI, KASIMIR.‎ ‎Über biegungsinvarianten eine anwendung der Lie'schen gruppentheorie.‎ ‎Berlin, Stockholm, Paris, F. & G. Beijer, 1892-93. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 16. Including the title page. Fine and clean. (6), 64 Pp.‎ ‎First printing of Zorawski's important paper which is one of the very first responses to Sophus Lie's group theory. ""One of the first mathematicians who reacted to Lie's newly introduced concept was Kasimir Zorawaski, a polish scientist who worked in Warsaw. As examples of differential invariants, Zorawski mentioned Gauss curvature, Beltrami operators, and Minding's geodesic curvature. Similar to Lie, he asked for the number of invariants of different orders. From then on, two concepts played a major role within the theory of differential calculus, initiated by Ricci, and the group concept that was introduced by Lie and improved by Zorawski."" (Earman, The Attraction of gravitation: new studies in the history of general relativity, P. 229)‎ 書籍販売業者の参照番号 : 45900	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"VOLTERRA, VITO.‎ ‎Sur les équations intégro-différentielles et leurs applications.‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1912]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 35. Fine and clean. Pp. 295-356.‎ ‎First printing.‎ 書籍販売業者の参照番号 : 45901	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 67.15 購入
‎"GYLDÉN, HUGO.‎ ‎Untersuchungen über die Convergenz der Reihen, welche zur Darstellung der Coordinaten der Planaten angewendet.‎ ‎Berlin, Stockholm, Paris, Beijer, 1887. 4to. With the original wrappers in ""Acta Mathematica, 9:3. Band]. No backstrip. Fine and clean. Pp. 185-294. [Entire issue: Pp. 185-320]‎ ‎First printing of Gyldén's paper on planetary coordinates. Hugo Gyldén was the most impotant swedish astronomer during the 19th century and he initiated celestial mechanics in Sweden.‎ 書籍販売業者の参照番号 : 45903	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"ZELLER, CHR..‎ ‎Kalender-Formeln. - [ZELLER'S CONGRUENCE]‎ ‎Berlin, Stockholm, Paris, Beijer, 1886. 4to. With the original wrappers in ""Acta Mathematica, 9:2. Band]. No backstrip. Fine and clean. Pp. 131-36. [Entire issue: Pp. 105-184].‎ ‎First printing of Zeller's paper important paper in which Zeller's congruence is presented It is an algorithm to calculate the day of the week for any Julian or Gregorian calendar date.‎ 書籍販売業者の参照番号 : 45904	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎"HERMITE, CHARLES.‎ ‎Sur quelques consequences arithmetiques des formules de la theorie des fonctions elliptiques.‎ ‎Berlin, Stockholm, Paris, Beijer, 1885. 4to. With the original wrappers in ""Acta Mathematica, 5:4. Band]. No backstrip. Fine and clean. Pp. 297-330. [Entire issue: Pp. 297-408, 83-123 + 2 folded plates.].‎ ‎First printing of Hermite's paper on the arithmetical consequences of the theory of elliptic functions. Charles Hermite (1822-1901), French mathematician, made significant contributions to pure mathematics, and especially to number theory and algebra. In 1858 he solved the equation of the fifth degree by elliptic functions, and in 1873 he proved that e (the base of natural logarithms) is transcendental. The legacy of his work can be shown in the large number of mathematical terms which bear the adjective 'Hermitian'. The present issue also contain the following paper:Fiedler, W.: Über die Durchdringung gleichseitiger Rotationshyperboloide von parallelen Axen (mit zwei Tafeln).‎ 書籍販売業者の参照番号 : 45905	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 134.30 購入
‎"POINCARÉ, HENRI.‎ ‎Mémoire sur les Fonctions fuchsiennes.‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1882]. Large4to. As extracted from ""Acta Mathematica"", In ""Acta Mathematica"", volume 1. Clean and fine. Pp. 193-294.‎ ‎First printing of Poincaré's famous paper which conjectured the uniformization theorem for (the Riemann surfaces of) algebraic curves. It also constitute the second paper in Poincaré's exceedingly important series of six paper's which together represent the discovery of Automorphic Functions. ""Before he was thirty years of age, Poincaré became world famous with his epoch-making discovery of the ""automorphic functions"" of one complex variable (or, as he called them, the ""fuchsian"" and ""kleinean"" functions)."" (DSB).These manuscripts, written between 28 June and 20 December 1880, show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular, the manuscripts corroborate Poincaré's introspective account of this discovery (1908), in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry.The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but, as a route towards this, he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of ""automorphic functions"", or as Poincaré himself called them, the ""Fuchsian"" and ""Kleinian"" functions.""By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica, Kronecker warned the editor, Mittag-Leffler, that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions, Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré."" (Morris Kline).Poincaré explains how he discovered the Automorphic Functions: ""For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions, I was then very ignorant" every day I seated myself at my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black coffee and could not sleep. Ideas rose in crowds I felt them collide until pairs interlocked, so to speak, making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions, those which come from hypergeometric series" i had only to write out the results, which took but a few hours...the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry...""‎ 書籍販売業者の参照番号 : 45910	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 604.35 購入
‎"LAGRANGE, (LA GRANGE), JOSEPH LOUIS. - LAGRANGE'S CONTINUED FRACTIONS.‎ ‎Additions au Mémoire Sur la Résolution des Équations Numériques.‎ ‎(Berlin, Haude et Spener, 1770). 4to. Clean and fine without wrappers as issued in ""Mémoires de l'Academie Royale des Sciences et Belles-Lettres"", Tome XXIV, pp. 111-180. With titlepage to ""Classe de Mathematique"".‎ ‎First appearance of Lagrange's importent paper in which he developed continous fraction solutions of equations.‎ 書籍販売業者の参照番号 : 45924	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 604.35 購入
‎"CAYLEY, (ARTHUR).‎ ‎On the Sextactic Points of a Plane Curve. Received November 5, - Read december 22, 1864.‎ ‎(London, Taylor and Francis, 1865). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1865 - Vol. 155 - Part II. Pp. 545-578.‎ ‎First printing of an importent paper. Cayley was the to determine the sextic curve.‎ 書籍販売業者の参照番号 : 45984	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 100.72 購入
‎"CAYLEY, (ARTHUR).‎ ‎On Tschirnhausen's Transformation. Received November 7, - Read December 5, 1861.‎ ‎(London, Taylor and Francis, 1862). 4to. No wrappers as extracted from ""Philosophical Transactions"" 1862 - Vol. 152 - Part I. Pp. 561-578.‎ ‎First printing.‎ 書籍販売業者の参照番号 : 45985	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 67.15 購入
‎"CANTOR, G.‎ ‎Sur les séries trigonométriques (transl. of Über trigonometrische Reihen) (+) Extension d'un théoréme de la théorie des séries trigonométriques.‎ ‎Berlin, Stockholm, Paris, Beijer, 1883. 4to. As extracted from ""Acta Mathematica, 2. band."", Clean and fine. Pp. 329-348.‎ ‎First transation of Cantor's important papers on trigonometric series.‎ 書籍販売業者の参照番号 : 46012	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"PONCELET, J. V. [JEAN-VICTOR].‎ ‎Sur la valeur approchée linéaire et rationnelle des radicaux de la forme...‎ ‎Berlin, G. Reimer, 1835. 4to. In ""Journal für die reine und angewandte Mathematik, 13 Band, 4. Heft, 1835"". Without backstrip. Fine and clean. [Poncelet:] Pp. 277-291. [Entire issue: pp. IV, 54 pp.].‎ ‎First printing of Poncelet's paper which introduced the fundamentals of approximation theory.‎ 書籍販売業者の参照番号 : 46014	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"CAYLEY, (ARTHUR)‎ ‎A Memoir on the Transformation of Elliptic Functions. Received November 14, 1873, - Read January 8, 1874.‎ ‎(London, Taylor and Francis, 1874). 4to. No wrappers as extracted from ""Philosophical Transactions"", Vol. 164. Pp. 397-456.‎ ‎First edition. The subject treated here was the substance of his only published book ""Tretise on Elliptic Functions"", published 1876.‎ 書籍販売業者の参照番号 : 46018	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 67.15 購入
‎"BERNOULLI, JOANNES.‎ ‎Demonstratio Methodi Analyticae, qua usus est pro determinanda aliqua Quadratura exponentiali per seriem.‎ ‎Leipzig, Grosse & Gleditsch, 1737. 4to. In: ""Nova Acta Eruditorum Anno MDCCXXXVII"". The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A 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. 82-88. [Entire volume: Pp. (4), 555, (33) + 7 engraved plates.].‎ ‎First printing of Bernoulli's paper on the quadratura.The volume contains many other papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46046	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 295.46 購入
‎"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.‎ 書籍販売業者の参照番号 : 46047	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"POINCARÉ, HENRI.‎ ‎Theorie des Groupes fuchsiens. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎ ‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and front free end-paper. In ""Acta Mathematica"", volume 1. Title pages with library stamp. A fine and clean copy. Pp. (6), 62.‎ ‎First publication of this groundbreaking paper which became Poincaré first paper in his much celebrated and famous six-paper series which together constitute the discovery of Automorphic Functions. ""Before he was thirty years of age, Poincaré became world famous with his epoch-making discovery of the ""automorphic functions"" of one complex variable (or, as he called them, the ""fuchsian"" and ""kleinean"" functions)."" (DSB).These manuscripts, written between 28 June and 20 December 1880, show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular, the manuscripts corroborate Poincaré's introspective account of this discovery (1908), in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry.The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but, as a route towards this, he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of ""automorphic functions"", or as Poincaré himself called them, the ""Fuchsian"" and ""Kleinian"" functions.""By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica, Kronecker warned the editor, Mittag-Leffler, that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions, Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré."" (Morris Kline).Poincaré explains how he discovered the Automorphic Functions: ""For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions, I was then very ignorant" every day I seated myself at my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black coffee and could not sleep. Ideas rose in crowds I felt them collide until pairs interlocked, so to speak, making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions, those which come from hypergeometric series" i had only to write out the results, which took but a few hours...the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry...""‎ 書籍販売業者の参照番号 : 46049	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 537.20 購入
‎BRIOT, C. & BOUQUET, J.C.‎ ‎Lecons de Géométrie analytique. Dix-Huitième Édition. Revueet annotée par M. Appell.‎ ‎Paris, Delagrave, (1904). Solid hcloth. Gilt titlelabel on spine. (6),802 pp., textfigs.‎ 書籍販売業者の参照番号 : 46096	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 60.43 購入
‎LANCZOS, CORNELIUS.‎ ‎Linear Differential Operators.‎ ‎London, N.Y. etc., D. van Nostrand Comp., (1961). Orig. full cloth. XVI,564 pp. Free endpapers removed.‎ 書籍販売業者の参照番号 : 46103	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 40.29 購入
‎"CANTOR, G.‎ ‎Sur les ensembles infinis et linéaires de points (I-IV).‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1883]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 2. No backstrip. Fine and clean. Pp. 349-380.‎ ‎First printing of Poincaré's concluding papers on transfinite numbers.‎ 書籍販売業者の参照番号 : 46181	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"POINCARÉ, H.‎ ‎Sur les rapports de l'analyse pure et de la physique mathématique.‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1897]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 21. No backstrip. Fine and clean. Pp. 331-341.‎ ‎First printing of Poincaré's principal address at the first International Congress of Mathematicians held in Zürich in 1897.‎ 書籍販売業者の参照番号 : 46182	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"RICHELOT, F.‎ ‎De integralibus Abelianis primi ordinis commentatio prima.‎ ‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1834]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 12. No backstrip. Fine and clean. Pp. 181-233.‎ ‎First printing.Richelot was a student of Jacobi. Richelot authored numerous publications among them - with his 1832 dissertation - the first known guide to the Euclidean construction of the regular 257-gon with compass and straightedge.‎ 書籍販売業者の参照番号 : 46189	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 67.15 購入
‎"KLEIN, FELIX‎ ‎Beweis für die Nichtauflösbarkeit der Ikosaedergleichung durch Wurzelzeichen.‎ ‎Leipzig, B.G. Teubner, 1905. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet durch Rudolf Friedrich Alfred Clebsch. 61. Band. 3. Heft."" Entire issue offered. Internally very fine and clean. Pp. 369-371. [Entire issue: Pp. 289-452].‎ ‎First printing of Klein's paper on the Icosahedron.""One of the leading mathematicians of his age, Klein made many stimulating and fruitful contributions to almost all branches of mathematics, including applied mathematics and mathematical physics. Moreover, his extensive activity contributed greatly to making Göttingen the chief center of the exact sciences in Germany. An opponent of one sided approaches, he possessed an extraordinary ability to discover quickly relationships between different areas of research and to exploit them fruitfully."" (DSB).‎ 書籍販売業者の参照番号 : 46191	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"KLEIN, FELIX.‎ ‎Über die Auflösung der allgemeine Gleichungen fünften und sechsten Grades (+) Bericht über den Stand der Herausgabe von Gauss' Werken. Sechster Bericht.‎ ‎Leipzig, B. G. Teubner, 1905. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 61. Band, 1. Heft, 1905"". Fine and clean. [Klein:] Pp. 50-71"" Pp. 72-76. [Entire issue: IV, 160 pp].‎ ‎First printing of Felix Klein's paper on how to solve fifth and sixth degree equations. Klein considered equations of degree > 4, and was especially interested in using transcendental methods to solve the general equation of the fifth degree. Building on the methods of Hermite and Kronecker, he produced similar results to those of Brioschi and went on to completely solve the problem by means of the icosahedral group. This work led him to write a series of papers on elliptic modular functions, the present paper being one of the last and concluding.As editor of Mathematische Annalen Felix Klein set himself the task of collecting previously unstudied material of Gauss. He organized a campaign to collect materials and enlisted experts in special fields to study them. From 1898 until 1922 he rallied support with fourteen reports, published under the title ""Bericht über den Stand der Herausgabe von Gauss' Werken,"". The present being the sixth.‎ 書籍販売業者の参照番号 : 46199	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 268.60 購入
‎"LEBESGUE, HENRI.‎ ‎Recherches sur la Convergence des Séries de Fourier.‎ ‎Leipzig, B. G. Teubner, 1905. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 61. Band, 2. Heft, 1905"". Fine and clean. [Lebesgue:] Pp. 251-280. [Entire issue: 161-288 pp].‎ ‎First printing of Lebesque's paper in which he extended and accepted Fourier's work that stated that any arbitrary function, defined in a finite interval, can be expressed as a sum of sine and cosine functions: ""In 1905 Lebesgue gave a new sufficient condition for the convergence of the Fourier series to a function f(x) that include all previously known conditions"". (Kleine, P. 1047)‎ 書籍販売業者の参照番号 : 46200	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎"GORDAN, PAUL.‎ ‎Die partiellen Differentialgleichungen des Valentinerproblems.‎ ‎Leipzig, B. G. Teubner, 1906. 8vo. In the original printed wrappers, without backstrip. In ""Mathematische Annalen, 61. Band, 4. Heft, 1906"". Fine and clean. [Gordan:] Pp. 453-526. [Entire issue: Pp. 453-560]. Attached is, also in the original wrappers ""Verzeichnis Mathematischer Modelle"". 28, (4) pp.‎ ‎First printing.‎ 書籍販売業者の参照番号 : 46201	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 134.30 購入
‎"TCHEBYCHEFF, P. [PAFNUTY LVOVICH CHEBYSHEV]‎ ‎Sur la représentation des valeurs limites des intégrales par des résidus intégraux.‎ ‎Berlin, Stockholm, Paris, Beijer, 1886. 4to. With the original wrappers in ""Acta Mathematica, 9:1. Band]. No backstrip. Fine and clean. Pp. 35-56. [Entire issue: 104 pp. ].‎ ‎First translation of Tchebycheff's paper on Moments - a quantitative measure of the shape of a set of points. Tchebycheff is known for his work in the field of probability, statistics and number theory.‎ 書籍販売業者の参照番号 : 46202	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"SCHÖNEMANN, T.‎ ‎Grundzüge einer allgemeine Theorie der höhern Congruenzen, deren Modul eine reelle Primzahl ist. - [FIRST PUBLICATION OF HENSEL'S LEMMA]‎ ‎Berlin, G. Reimer, 1846. 4to. In ""Journal für die reine und angewandte Mathematik, 31. Band, 4 Heft, 1846"". In the original printed wrappers, without backstrip. Fine and clean. [Schönemann:] Pp. 269-325. [Entire issue: Pp. 269-358, (2) + 1 plate.].‎ ‎First printing of Schönemann's paper in which Hensel' Lemma first was introduced - several years before Kurt Hensel published his paper on the subject. He obtained several important results in number theory concerning the theory of congruences, which all can be found in several publications in Crelle's journal, volumes 17 to 40. Notably he obtained Hensel's lemma before Hensel, Scholz's reciprocity law before Scholz, and formulated Eisenstein's criterion before Eisenstein.‎ 書籍販売業者の参照番号 : 46279	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 161.16 購入
‎"TORTOLINI, BARNABA.‎ ‎Sur les transformations et les valeur de plusieurs intégrales définies qui se rapportent aux surfaces et aux solidités des volumes.‎ ‎Berlin, G. Reimer, 1843. 4to. In ""Journal für die reine und angewandte Mathematik, 26. Band, 4 Heft, 1843"". In the original printed wrappers, without backstrip. Fine and clean. [Tortolini:] Pp. 277-310. [Entire issue: Pp. 277-368, (2) + 1 plate.].‎ ‎First printing of Italian Mathematician's paper on definit integrals relating to surfaces. Barnaba Tortolini was a 19th-century Italian priest and mathematician who played an early active role in advancing the scientific unification of the Italian states. He founded the first Italian scientific journal with an international presence, Annali di scienze matematiche e fisiche, and functioned a professor of mathematics at the University of Rome for 30 years.‎ 書籍販売業者の参照番号 : 46280	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"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	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"GÖDEL, KURT.‎ ‎Ein Spezialfall des Entscheidungsproblems der theoretischen Logik. - [INCOMPLETENESS FROM THE STANDPOINT OF FIRST-ORDER LOGIC]‎ ‎Leipzig & Berlin, B.G. Teubner, 1932. 8vo. A mint copy, in the original wrappers, still contained in the original plastic protection. In ""Ergebnisse eines mathematischen Kolloquiums, unter Mitwirkung von Kurt Gödel und Georg Nöbeling, herausgegeben von Karl Manger, Heft 2"". Pp. 27-28. [Entire volume: 38 pp].‎ ‎First edition of Gödel's important paper, which constitutes a supplement to his ""Die Vollständigkeit der Axiome des logischen Funktionskalküls"" (1930). In the present paper, Gödel seminally formulates his earlier incompleteness results from the standpoint of first-order logic, thereby contributing substantially to modern mathematical logic.""In 1932 Godel published his formulation of the incompleteness results from the standpoint of first order logic. If number theory is regarded as a formal system in first-order logic, then the above results about incompleteness and unprovability of consistency apply to S. If, however, S is extended by variables for sets of numbers, for sets of sets of numbers, and so on (together with the corresponding comprehension axioms), then we obtain a sequence of systems S"" the consistency of each system is provable in all subsequent systems. But in each subsequent system there are undecidable propositions. Going up in type in this way, he noted, corresponds in a type-free system of set theory to adding axioms that postulate the existence of larger and larger infinite cardinalities. This was the beginning of Gödel's interest in large cardinal axioms, an interest that he elaborated in 1947 in regard to the continuum problem."" (DSB).The issue contains several papers by Karl Menger.‎ 書籍販売業者の参照番号 : 46285	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 268.60 購入
‎"POINCARÉ, HENRI.‎ ‎Sur la méthode horistique de Gyldén.‎ ‎(Berlin, Uppsala & Stockholm, Paris, 1905. 4to. Bound in contemporary half cloth. In ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 29. Entires issue offered. Fine and clean. Pp. 235-272. [Entire volume: (4), 433 pp.].‎ ‎Second of this paper in which Poincaré comments on the Swedish astronomer work.The offered issue contain many other papers by contemporary mathematicians.‎ 書籍販売業者の参照番号 : 46288	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 94.01 購入
‎"[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Actorum Eruditorum, Supplementa. Tomus X.‎ ‎Leipzig, Grosse & Gleditsch, 1734. 4to. Contemp. full vellum. Faint handwritten title on spine. A small stamp to title page and pasted library label to pasted down front free end-paper. In: ""Actorum Eruditorum Anno MDCCXXXIV"". The entire volume offered.(4), 560, (27) pp. + 1 plate‎ ‎The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46343	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎"[MENCKE, JOHANN BURCKHARDT [EDT.]].‎ ‎Acta Eruditorum Anno MDCCXXXI.‎ ‎Leipzig, Grosse & Gleditsch, 1731. 4to. In: ""Acta Eruditorum Anno MDCCXXXI"". The entire volume offered in contemporary full vellum. Front boards with some miscolouring. Hand written title on spine. A yellow label pasted on to top of spine. A 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. (4), 560, (38) pp. + 1 plate.‎ ‎The last issue of Acta Eruditorum under the editorship of Johann Burckhardt Mencke (1674 - 1732)The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46345	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 241.74 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCXXXVIII.‎ ‎Leipzig, Grosse & Gleditsch, 1738. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A 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. (6), 710, (42) pp + 6 plates.‎ ‎The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46346	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 241.74 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCXLIII [1743].‎ ‎Leipzig, Gleditsch & Lanckisiii, 1743. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A 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. (6), 720, (32) pp + 6 plates.‎ ‎The offered volume contain many reviews and original contributions by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46347	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 241.74 購入
‎[BEL, KARL ANDREAS. [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCLV [1755].‎ ‎Leipzig, Gleditsch & Lanckisiii, 1755. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. A fine copy. (4), 720, (24) pp + 6 plates.‎ ‎First issue of Nova Acta Eruditorum with Karl Andreas Bel as editor.The offered volume contain many reviews and original contributions by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46348	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 241.74 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum. Supplementa, Tomus II [2].‎ ‎Leipzig, Grosse & Gleditsch, 1737. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with brownspotting. (4), 552, (35) pp + 2 plates.‎ ‎The offered volume contain many reviews by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46349	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCXXXII. [1732].‎ ‎Leipzig, Gleditsch & Martini, 1732. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with brownspotting. (6), 594, (32) pp + 6 plates.‎ ‎First issue of Nova Acta Eruditorum with Friedrich Otto Mencke as editor, the grandson of the founder of the journal, Otto Mencke. The offered volume contain many reviews by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46350	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 268.60 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum. Supplementa, Tomus VI [6].‎ ‎Leipzig, Gleditsch & Lanckisiii, 1749. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with brownspotting. (4), 552, (28) pp + 6 plates.‎ ‎The offered volume contain many reviews by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46351	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎[BEL, KARL ANDREAS. [EDT.]].‎ ‎Nova Acta Eruditorum. Anno MDCCLIX.‎ ‎Leipzig, Gleditsch & Lanckisiii, 1759. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with brownspotting. (4), 720, (30) pp + 1 plates.‎ ‎The offered volume contain many reviews by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46352	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 214.88 購入
‎"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	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCXXXIX [1739].‎ ‎Leipzig, Grosse & Gleditsch, 1739. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. Occassional brospotting, otherwise fine and clean. (4), 720, (39) pp + 5 plates.‎ ‎The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46395	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 214.88 購入
‎[MENCKE, OTTO [EDT.]].‎ ‎Actorum Eruditorum. Supplementa, tomus II [2].‎ ‎Leipzig, Grosse & Fritschium, 1696. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A 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. (2), 603 pp. + 10 engraved folded plates.‎ ‎The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46396	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 214.88 購入
‎[BEL, KARL ANDREAS. [EDT.]].‎ ‎Nova Acta Eruditorum Anno MDCCLXI [1761].‎ ‎Leipzig, Gleditsch & Lanckisiii, 1761. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. A fine and clean copy. (4), 600, (23) pp + 4 plates.‎ ‎The offered volume contain many papers by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46397	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 241.74 購入
‎"TSCHIRNHAUS, EHRENFRIED W. V. [FIRST PUBLICATION OF THE ""TSCHIRNHAUS TRANSFORMATION"".]‎ ‎Methodus datae figurae, rectis lineis & curva Geometrica terminate, aut Quadraturam, aut impossibilitatem ejusdem Quadraturae determinandi. (+) Nova Methodus determinandi Maxima & Minima (+) Aufrendi omnes terminos intermedios ex data aequatione. - [FORCED LEIBNIZ TO PUBLISH THE CALCULUS]‎ ‎Leipzig, Grosse & Gleditsch, 1683. 4to. Contemporary full vellum. Handwritten title on spine. Library label to pasted down front free end-paper and a small stamps on titlepage. In: ""Acta Eruditorum Anno MDCLXXXIII"". As usual with various browning to leaves and plates. Tschirnhaus' paper: pp. 122-124" Pp. 204-207" Pp. 433-437. [Entire volume: (8), 561, (7) pp + 13 plates].‎ ‎First appearance of Tschirnhaus's three exceedingly important papers which were to to initiate one of the most famous mathematical discoveries. In the papers he used infinitisimal methods which were very close to Leibniz's method and where he tried to lay down criteria for rational quadratures in the case of conic, cubic and quadratic curves, papers that led Leibniz to publish his first paper on the differential calculus, the ""Nova Methoda"" in the Acta for 1684 in order to secure his priority over Tschirnhaus concerning the calculus. Leibniz discovered, when he read Tschirnhaus' papers, that Tschirnhaus had here published results showing similarity with Leibniz's invention of the calculus as he had confided to Tschirnhaus earlier, during their Parisian stay, and this without references to Leibniz.The present volume of Acta also contain the first edition of Tschirnhaus' ""Tschirnhaus Tranformation"". Tschirnhaus work intensively on finding a general method for solving equations of higher of higher degree. ""His transformations constituted the most promising contribution to the solution of equations during the seventeenth century" but his elimination of the second and third coefficients by means of such transformation was far from adequate for the solution of the quintic.(Boyer. A History of Mathematics, 1968, 472 p.).Tschirnhaus (1651-1708) , a Saxon nobleman, had as wide interest as acquaintances: He studied in Leyden, served in the Dutch army, visited England and Paris several times. He set up a glassworks in Italy and is said to have introduced Porcelain to Europe. He wrote about philosophy and mathematics and was a close friend of Leibniz.‎ 書籍販売業者の参照番号 : 46399	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 1,007.25 購入
‎[MENCKE, FRIEDRICH OTTO [EDT.]].‎ ‎Nova Acta Eruditorum, Anno MDCCL [1750].‎ ‎Leipzig, Lanckisiii & Blochbergerum, 1750. 4to. The entire volume offered in contemporary full vellum. Hand written title on spine. A yellow label pasted on to top of spine. A small stamp to title-page and free front end-paper. Library label to pasted down front free end-paper. As usual with brownspotting. (6), 722, (28) pp + 6 plates.‎ ‎The offered volume contain many reviews by influential contemporary mathematicians, philosophers and historians.‎ 書籍販売業者の参照番号 : 46403	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 214.88 購入
‎"HERMITE, C.‎ ‎Note sur la réduction des fonctions homogénes á coefficients entiers et á deux indéterminées.‎ ‎Berlin, G. Reimer, 1848. 4to. In ""Journal für die reine und angewandte Mathematik, 1848. Band, 4 Heft"". In the original printed wrappers, without backstrip. Fine and clean. [Hermite:] Pp. 357-364. [Entire volume: Pp. 275-364 + 3 folded plate.].‎ ‎First printing.Charles Hermite (1822-1901), French mathematician, made significant contributions to pure mathematics, and especially to number theory and algebra. In 1858 he solved the equation of the fifth degree by elliptic functions, and in 1873 he proved that e (the base of natural logarithms) is transcendental. The legacy of his work can be shown in the large number of mathematical terms which bear the adjective 'Hermitian'.‎ 書籍販売業者の参照番号 : 46404	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"STERN. [MORITZ ABRAHAM].‎ ‎Theorie der Kettenbrüche und ihre Anwendung. I-IV.‎ ‎Berlin, G. Reimer, 1833. 4to. In ""Journal für die reine und angewandte Mathematik, 1848."". Entire issue offered in the original printed wrappers, without backstrip. Fine and clean. [Entire volume: 392 pp.].‎ ‎First printing of Stern's important papers on continued fractions which is the first systematic summary of the theory.As a professor at Göttingen University Stern taught Bernhard Riemann along with Gauss. Stern also helped Ferdinand Eisenstein in formulating a proof of the quadratic reciprocity theorem.‎ 書籍販売業者の参照番号 : 46405	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入
‎"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.].‎ ‎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)‎ 書籍販売業者の参照番号 : 46406	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 107.44 購入
‎"GUDERMANN, CHRISTOPH.‎ ‎Theorie der Modular-Functionen und der Modular-Integrale.‎ ‎Berlin, G. Reimer, 1840. 4to. In ""Journal für die reine und angewandte Mathematik, 1840, 3 Heft"". Without backstrip. Fine and clean. [Guderman:] Pp. 240-292.‎ ‎First printing of the second part of Gudermann's papers on modular functions and modular integrals, ideas which anticipated his 1844-book.""Gudermann devoted much more attention to the theory of special functions. After the earlier works of Leonhard Euler, John Landen, and A. M. Legendre (Gauss's results were still in manuscript), Niels Abel's studies on elliptical functions, published mostly in A. L. Crelle's Journal für reine und angewandte Mathematik, represented an important divide in treating this area. In 1829 Carl Jacobi's book Fundamenta nova theoriae functionum ellipticarum was published. At the time Gudermann was one of the first mathematicians to expand on these results. Beginning with volume 6 (1830) of Crelle's Journal, he published a series of papers which he later summarized in two books: Theorie der Potenzialoder cyklisch-hyperbolischen Functionen (1833) and Theorie der Modular-Functionen und der Modular-Integrale (1844), which were to have had a sequel which was never written."" (DSB).‎ 書籍販売業者の参照番号 : 46407	Livre Rare Book Herman H. J. Lynge & Son Copenhagen Denmark Dinamarca Dinamarca Danemark [この書籍販売業者の本を検索： Herman H. J. Lynge & Son] € 201.45 購入

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