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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.
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 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.
