11 books for « clebsch r f a »Edit

‎Ueber symbolische Darstellung algebraischer Formen. - [SEMINAL CONTRIBUTION TO THE SYMBOLIC METHOD IN INVARIANT THEORY]‎

‎Berlin, G. Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 59. Band, 1861"". Without backstrip. Fine and clean. [Clebsch:] Pp. 1-62.‎

‎First printing of Clebsch's early and founding paper on the symbolic method in invariant theory. The Symbolic method is based on treating the form as if it were a power of a degree one form, which corresponds to embedding a symmetric power of a vector space into the symmetric elements of a tensor product of copies of it.""Clebsch completed the symbolic calculus for forms and invariants created by Aronhold, and henceforth one spoke of the Clebsch-Aronhold symbolic notation. Clebsch’s own contributions in this field of algebraic geometry include the following. With the help of suitable eliminations he determined a surface of order 11n - 24 intersecting a given surface of order n in points where there is a tangent that touches the surface at more than three coinciding points. For a given cubic surface he calculated the tenth-degree equation on the resolution of which the determination of the Sylvester pentahedron of that surface depends. For a plane quartic curve Clebsch found a remarkable invariant that, when it vanishes, makes it possible to write the curve equation as a sum of five fourth-degree powers. At the end of his life Clebsch inaugurated the notion of a ""connex,"" a geometrical object in the plane obtained by setting a form containing both point and line coordinates equal to zero."" (DSB)‎

‎Ueber die simultane Integration linearer partieller Differentialgleichungen. - [FROBENIUS THEOREM]‎

‎Berlin, Georg Reimer, 1866. 4to. In ""Journal für die reine und angewandte Mathematik, 65. Band, 3 Heft, 1866"". In the original printed wrappers, without backstrip. Front wrapper with a brown mark to top left corner, otherwise fine and clean. [Clebsch:] Pp. 257-268. [Entire issue: Pp. 189-292, (2)].‎

‎First printing of Clebsch's paper in which the Frobenius theorem was introduced.Despite being named after Ferdinand Georg Frobenius, the theorem was first proven by Alfred Clebsch and Feodor Deahna. Deahna was the first to establish the sufficient conditions for the theorem, and Clebsch developed the necessary conditions. Frobenius is responsible for applying the theorem to Pfaffian systems, thus paving the way for its usage in differential topology.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)The issue also contain:Cayley, Sur un cas particulier de la surface du quatrieme ordre avec seize points singuliers, P. 284-290.‎

‎Ueber diejenigen Probleme der Variationsrechnung, welche nur eine unabhängige Variable enthalten (+) Vermischte Sätze und Aufgaben.‎

‎Berlin, G. Reimer, 1858. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 55. Band, 1858""., without backstrip. Fine and clean. [Clebsch:] Pp. 335-355"" [Steiner)] Pp. 356-378.‎

‎First printing of these two important papers by Clebsch and Steiner.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

‎Leçons sur la géométrie recueillies et complétées par F. Lindemann, traduites par A. Benoist ---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE -- TRES BEL EXEMPLAIRE -- 3 VOLUMES (COMPLETE SET)‎

‎P., Gautier-Villars, 1879-1883, 3 VOLUMES in 8 reliés en demi-basane rouge, dos ornés de filets dorés (reliure de la première moitié du XXe siècle), T.1 : 10pp., (1), 386pp., T.2 : (3), 438pp., (1-errata), T.3 : 8pp., (1), 484pp., (1-errata)‎

‎---- PREMIERE EDITION FRANCAISE EN PARTIE ORIGINALE : "M. Lindemann... voulut bien m'avertir que certains passages de l'édition allemande avaient besoin de modifications, et m'adressa successivement un certain nombre de corrections et de changements. Il ne serait pas possible d'indiquer ici tous les passages modifiés ; c'est par la comparaison attentive des deux textes que le lecteur pourra se rendre compte de leurs différences...". (Préface du traducteur, tome 3) ---- TRES BEL EXEMPLAIRE ---- "CLEBSCH held, from 1858 to 1863, the chair of theoretical mechanics at the Polytechnicum in Carlsruhe. The study of Salmon's works led him into algebra and geometry. In 1863, he accepted a position at the University of Giesen, where he worked in conjunction with Paul Gordan. In 1868, CLEBSCH went to Göttingen and remained there until his death. He worked successively at the following subjects : mathematical physics, the calculus of variations and partial differential equations of the first order, the general theory of curves and surfaces, Abelian functions and their use in geometry, the theory of invariants and "Flächenabbildung". He proved theorems on the pentahedron enunciated by SYLVESTER and STEINER ; he made systematic use of "deficiency" as a fundamental principle in the classification of algebraic curves. At the beginning of his career, CLEBSCH had shown how elliptic functions could be advantageously applied to Malfatti's problem. The idea involved therein, viz. the use of higher transcendentals in the study of geometry, led him to his greatest discoveries. Not only did he apply Abelian functions to geometry but conversely, he drew geometry into the service of Abelian functions. His study of curves and surfaces began with the determination of the points of contact of lines which meet a surface in four consecutive points. CLEBSCH's investigaton theron is a most beautiful piece of analysis". (Cajori pp. 313/314) ---- DSB III pp. 313/315 ---- Séries de points et faisceaux de rayons - Les courbes du second ordre et de la seconde classe - Introduction à la théorie des formes algébriques - Théorie généale des courbes algébriques - Les courbes de troisième ordre ou de troisième classe - La géométrie sur une courbe algébrique et sa liaison avec la théorie des intégrales abéliennes - Les connexes **9043/N3‎

‎Ueber den Zusammenhang einer Classe von Flächenabbildungen mit der Zweitheilung der Abel'schen Functionen (+) Ueber die Bewegung eines Körpers in einer Flüssigkeit (+) Ueber die Bedeutung einer simultanen Invariante einer binären quadratischen und ein...‎

‎Leipzig, B.G. Teubner, 1871. 8vo. Bound in black full cloth with gilt lettering to spine. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 3. Band, 1871"". Entire issue offered. Two library labels pasted on to pasted down front free end-paper and small blue library stamp to verso of title page. Small write bar-code pasted on to top left corner of front board. A fine and clean copy. [Clebsch:] Pp. 45-75" Pp. 238-262 Pp. 263-264" Pp. 265-267. [Entire issue: IV, 632 pp.].‎

‎First printing of four important paper by the influential German mathematician. ""In 1868 Gordan had already proved the precursory theorem on the finiteness of binary invariants. The theory of binary invariants thus being more complete, Clebsch published a book on this part of the theory (1872), giving a summary of the results obtained [In the offered papers]"". (DSB). In 1868 he and his friend Carl Neumann, son of Franz Neumann, founded the Mathematische Annalen.‎

‎Ueber das Pfaffsche Problem.‎

‎Berlin, G. Reimer, 1862. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 60. Band, 1862""., without backstrip. Fine and clean. [Clebsch:] Pp. 193-251.‎

‎First printing of Clebsche's important paper on Pfaff invariants.""German mathematician whose work on algebraic geometry was considered the first and most fundamental work in that branch of mathematics. Clebsch also developed a brilliant interpretation of some of Georg Riemann's work on function theory and investigated some aspects of algebraic geometry using approaches that differed from convention, focusing on algebraic interpretations rather than geometrical ones. Clebsch also founded an important journal, Mathematische Annalen before his premature death at the age of 39."" (Schlager, Science and Its Times, P. 267)‎

‎Ueber die ebene Abbildung der geradlinigen Flächen vierter Ordnung, welche eine Doppelcurve dritten Grades besitzen.‎

‎Leipzig, B.G. Teubner, 1870. 8vo. In ""Mathematische Annalen, 2. Band, 3. Heft, 1870"". In the original printed wrappers, without backstrips. Back wrappers with a few nicks. [Clebsch:] Pp. 504-13. [Entire issue: 385-514 pp].‎

‎First printing.‎

‎Mathematische Annalen. Begründet durch Alfred Clebsch and Carl Neumann. 48. Band. 3. Heft. 1896.‎

‎Leipzig, B. G. Teubner, 1896. 8vo. In the original printed wrappers, no backstrip. Entire issue offered. A few small nicks to front wrapper. Internally very fine and clean. Pp. 241-432.‎

‎First printing. ‎

‎Mathematische Annalen. Begründet durch Alfred Clebsch and Carl Neumann. 51. Band. 2. Heft. 1898.‎

‎Leipzig, B. G. Teubner, 1898. 8vo. In the original printed wrappers, no backstrip. Entire issue offered. Internally very fine and clean. Pp. 161-480‎

‎First printing. ‎

‎Notice sur les travaux de Jules Plücker‎

‎Rome, Imprimerie des sciences mathématiques et physiques 1872 32pp., dédicacé par le traducteur P.Mansion, 31cm., br.orig. (petits manques au dos), bon état, extrait du "Bullettino di bibliografia e di storia delle scienze matematiche e fisiche" T.5 (maggio 1872), texte en français, W82081‎

‎Zur Theorie der algebraischen Flächen (+) Ueber eine Transformation der homogenen Funktionen dritter Ordnung mit vier Veränderlichen.‎

‎Berlin, Georg Reimer, 1861. 4to. As extracted from ""Journal für die reine und angewandte Mathematik, 58. Band, 1861"". Without backstrip. Fine and clean. Pp. 93-126.‎

‎First printing of these two important papers on Quaternary cubics (a degree 3 homogeneous polynomial in four variables).‎