Bendixson Ivar (4 results)

Condition: VG. Stockholm 1892. Bihang Till. K. Svenska Vet.-Akad. Handligar Band 18, Afd. I, No. 2. Sm.8vo., 52pp., rebound in later wraps. In French. Unopened. VG.

Condition: VG. Stockholm 1892. Bihang Till. K. Svenska Vet.-Akad. Handligar Band 18, Afd. I, No. 6. In French. Sm.8vo., 29pp., rebound in later wraps. In French. VG.

First editions, offprints. First editions, offprints. In early 20th century half cloth, publisher's blank, grey wrappers bound into. Four works are inscribed by the author to Julius Petersen in Frech. From the collection of Manó (Emanuel) Beke. Eleven early papers by the Swedish mathematician Ivar Otto Bendixson (1861-1935), best known for his prove of the Poincaré-Bendixson theorem. Four of the papers are inscribed to the Danish mathematician Julius Petersen (1839-1910). At a certain point the collection was in the library of the Hungarian mathematician Manó (Emanuel) Beke. 1 Sur les équation différentielles linéaires homogènes. [Meddeladt den 10 Febr. 1892 genom G. Mittag-Leffler.] (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1892. N:o 2. Stockholm. Meddelanden från Stockholms Högskola. N:o 126.) [Stockholm]: [s.n.], [1892]. pp. 91-106. Inscribed to Julius Petersen on front wrappers in ink. No copies in WorldCat. 2 Sur l'irréductibilité des fonctions de plusieurs variables. [Meddeladt den 9 Mars 1892 genom H. Gyldén.] (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1892. N:o 3. Stockholm. Meddelanden från Stockholms Högskola. N:o 127.) [Stockholm]: [Kungl. Boktryckeriet], [1892]. pp. 189-193 [1]. WorldCat lists only one copy at the University of Cambridge, Trinity College, College Library, Cambridge, UK. 3 [S]ur les points singuliers des équitations différentielles. (Communiqué le 9 Mars 1898 par A. Lindstedt.) (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1898. N:o 3. Stockholm.) [Stockholm]: [s.n.], [1898]. pp. 139-152. WorldCat lists only two copies: Biblioteca di Matematica, Fisica, Astronomia e Informatica. Sezione di Matematica, Bologna, Italy; Columbia University Libraries, NY, USA. 4 Sur les points singuliers des équitations différentielles. (Communiqué le 13 Avril 1898 par D. G. Lindhagen.) (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1898. N:o 4. Stockholm.) [Stockholm]: [s.n.], [1898]. pp. 171-188. No copies in WorldCat. 5 Sur les points singuliers des équitations différentielles. (Communiqué le 9 Novembre 1898 par G. Mittag-Leffler.) (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1898. N:o 9. Stockholm. Meddelanden från Stockholms Högskola. N:o 186.) [Stockholm]: [s.n.], [1898]. pp. 635-658. Inscribed on front wrappers in ink. WorldCat lists only two copies: Biblioteca di Matematica, Fisica, Astronomia e Informatica. Sezione di Matematica, Bologna, Italy; Columbia University Libraries, NY, USA. 6 Quelques applications du théorème de Sturm étendu à un système d'équations. Communiqué a l'Académiwe Roy. des Sciences de Suède le 13 Janvier 1892. (Bihang till K. Svenska Vet.-Akad. Handlingar. Band 18. Afd. I. N:o. 2. Meddelande från Stockholms Högskola N:o 125.) Stockholm: Kung. Boktryckeriet. P. A. Norstedt & Söner, 1892. 18 p. Two leaves creased, closed tears to edged, no affect on text. 7 Sur la convergence uniforme des séries. [Communiqué par G. Mittag-Leffler.] (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1897. N:o 10. Stockholm. Meddelanden från Stockholms Högskola. N:o 170.) [Stockholm]: [s.n.], [1897]. pp. 605-622. WorldCat lists only one copy at Biblioteca di Matematica, Fisica, Astronomia e Informatica. Sezione di Matematica, Bologna, Italy. 8 Sur les équations différentielles régulières. [Note présentée le 11 mai 1892 par G. Mittag-Leffler.] (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1892. N:o 5. Stockholm. Meddelanden från Stockholms Högskola. N:o 133.) [Stockholm]: [s.n.], [1892]. pp. 179-286. No copies in WorldCat. 9 Rectification à la Note "Sur les racines d'une equation fondamentale. (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1900. N:o 9. Stockholm.) [Stockholm]: [s.n.], [1900.] 1 leaf, printed only on recto. Bound into the preceding pamphlet, no separate binding. No copies in WorldCat. 10 Sur les racines d'une equation fondamentale. [Communiqué le 14. Novembre 1900 par A. Lindstedt.] (Öfversigt af Kongl. Vetenskaps-Akademiens Förhandlingar 1900. N:o 9. Stockholm.) [Stockholm]: [s.n.], [1900]. pp. 1099-1104. Inscribed on front wrappers in ink. Mathematical notes in pencil in Hungarian on p. 1103., most likely in Beke's hand. WorldCat lists only one copy at Biblioteca di Matematica, Fisica, Astronomia e Informatica. Sezione di Matematica, Bologna, Italy. 11 Sur les équations différentielles linéaires homogènes. Communiqué a l'Acad. Roy. des Sciences de Suède le 13 Avril 1892 par G. Mittag-Leffler. (Bihang till K. Svenska Vet.-Akad. Handlingar. Band 18. Afd. I. N:o. 7. Meddelande från Stockholms Högskola N:o 129.) Stockholm: Kung. Boktryckeriet. P. A. Norstedt & Söner, 1892. 29 [1] p. Inscribed to Julius Petersen on front wrappers in ink. (Emanuel) Beke. Deaccessioned library stamps on the front free endpaper and the first page, shelfmark in pencil on the front wrapper of the first paper and on front free endpaper. Handwritten index on front endpapers in ink, probably in Beke's hand. In very good condition. In early 20th century half cloth, publisher's blank, grey wrappers bound into.

Soft cover. Condition: Very Good. 11 pamphlets, 8vo; all in original plain wrappers, four papers inscribed by Bendixson M. J. Tannery hommage respecteuse de l auteur . FIRST EDITIONS, OFFPRINTS FROM ÖFVERSIGT AF KONGL. VETENSKAPS-AKADEMIENS FÖRFHANDLINGAR, OF THESE PAPERS ON DIFFERENTIAL EQUATIONS. Bendixson is probably best remembered for the Poincaré-Bendixson theorem. We shall say a little about how Bendixson came to prove this result. This came about because of his work in real analysis. In this area he first studied uniform convergence of series of real functions and took an important step towards giving precise conditions when the limit function of continuous functions is continuous. In examining periodic solutions of differential equations Bendixson used methods based on continued fractions. These methods had first been used by Legendre to prove that e and ? are irrational. The analysis problem which intrigued Bendixson more than all others was the investigation of integral curves to first order differential equations, in particular he was intrigued by the complicated behaviour of the integral curves in the neighbourhood of singular points. This important problem was first studied by Briot and his friend Bouquet and, before Bendixson worked on it, had recently been investigated by Poincaré. Poincaré had obtained a qualitative description of the integral curves but it was Bendixson who gave a quantitative description near the singular points (MacTutor History of Mathematics). Provenance: Presentation inscriptions by Bendixson to Jules Tannery (1848-1910) on four of the papers. Tannery studied under Charles Hermite and was the PhD advisor of Jacques Hadamard. Under Hermite, he received is doctorate in 1874 for his thesis Propriétés des Intégrales des Équations Différentielle Linéaires à Coefficients Variables. He discovered a surface of the fourth order of which all the geodesic lines are algebraic. He was not an inventor, however, but essentially a critic and methodologist. He once remarked, "Mathematicians are so used to their symbols and have so much fun playing with them, that it is sometimes necessary to take their toys away from them in order to oblige them to think." He notably influenced Paul Painlevé, Jules Drach, and Émile Borel to take up science. His efforts were mainly directed to the study of the mathematical foundations and of the philosophical ideas implied in mathematical thinking (Wikipedia).