Leipzig, B. G. Teubner, 1888. 8vo. In ""Mathematische Annalen, 32. Band, 2 Heft, 1888"". In the original printed wrappers, without backstrips. Wrappers with a few nicks to front wrapper and title page. [Lie:] Pp. 213-281. [Entire issue: pp. 161-308].
First printing of Lie's paper on transformation groups which anticipated his famous book on the same subject.""In 1884 Klein and Mayer induced F. Engel, who had just received his Ph.D., to visit Lie [In Christiania, Norway] in order to learn about transformation groups and to help him write a comprehensive book on the subject. Engel stayed nine months with Lie. Thanks to his activity the work was accomplished, its three parts being published between 1888 and 1893, whereas Lie's other great projects were never completed. F. Hausdorff, whom Lie had chosen to assist him in preparing a work on contact transformations and partial differential equations, got interested in quite different subjects."" (DSB)
Leipzig, B.G. Teubner, 1882. In orig. printed wrappers to ""Mathematische Annalen"", XX. Bd., 3 Heft, pp. 301-490 (the whole issue). Lie's paper: pp. 357-460.
First printing. Lie founded the Theory of Continous Transformation groups, which is now called ""Lie groups"", playing an important role in mathematics and all areas of science. Associated to any system which has a continous group of symmetries is a ""Lie group"". Lie worked with Felix Klein on a unified view of geometry, and he had a vaist influence on Klein's ""Erlangen Program"".
Christiania, A. W. Brøggers, 1888. 8vo. Uncut, unopened in the original printed wrappers. Offprint from ""Christiania Videnskabs-Selskabs-Selskabs Forhanlinger"", 1888, No. 13. wrappers partly detached, otherwise fine. 8 pp.
Offprint of Lie's pioneering work on transformation groups
Christiania, Jacob Dybwad, 1889. Uncut in original printed wrappers. Offprint issue from ""Christiania Videnskabs-Selskabs Forhandlinger 1889. No. 7).
First edition in the offprint issue.