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LIE, Sophus (1842-1899); SCHEFFERS, Georg (1866-1945).Biblio.com

Vorlesungen uber Continuierliche Gruppen mit Geometrischen und Andern Anwendungen.

1893ref. S8964Leipzig:: B. G. Teubner 1893. 1893. 8vo. 230 x 152 mm xii 4 810 pp. Figs. index. Light toning throughout marginal pencil annotations in German. Bound in dark green cloth gilt-stamped spine title. Ownership signature of Joseph Miller Thomas November 26 1930. Rare. FIRST EDITION. Lectures on Continuous Groups with Geometric and Other Applications. "Die aufgabe des unterzeichneten bestand in der hauptsache in der anordnung und bearbeitung des reichen stoffes wobei ihm zu einem grossen teil knappgehaltene manuscripte von Lie sowie eigene nachschriften zur verfugung standen. In starkerem masse hat er das kapitel uber complexe zahlen beeinflusst." The undersigned's task was mainly to arrange and process the rich material with a large portion of Lie's manuscripts and his own manuscripts at his disposal. He influenced the chapter on complex numbers to a greater extent. – Editor's pref. / CONTENTS: Die allgemeine projective gruppe der ebene und einige ihrer untergruppen. -- Theorie der projectiven gruppen in der ebene. -- Die gruppen der ebene. -- Die grundlegenden satze der gruppentheorie.--Lineare homogene gruppen und complexe zahlen. -- Einige anwendungen der gruppentheorie. / Marius Sophus Lie 1842-1899 Norwegian mathematician noted for his contributions to the theories of differential equations and continuous transformation groups. DSB Vol. XII p. 150; University of St. Andrews Scotland. / The editor Georg Scheffers studied at Leipzig from 1884 to 1888 obtaining his doctorate in 1890. From 1896 he lectured at Darmstadt becoming a full professor there in 1900. In 1907 he was appointed to Charlottenburg where he held the chair of mathematics until he retired in 1935. Scheffers was a student of Sophus Lie who was at Leipzig from 1886 until 1896 and he greatly influenced Scheffers' work. Lie suggested the topic for his doctoral thesis on plane contact transformations and also the topic for his Habilitationsschrift on complex number systems. Scheffers' most important work also inspired by Lie was a paper in 1903 on Abel's theorem. Later in life Scheffers wrote many popular mathematics textbooks and edited Lie's works. His favorite topic was differential geometry and here he discovered many properties of particular curves and surfaces. University of St. Andrews. PROVENANCE: Joseph Miller Thomas 1898-1979 Joseph Miller Thomas was an American mathematician known for the Thomas decomposition of algebraic and differential systems. Thomas received his Ph.D. supervised by Frederick Wahn Beal from the University of Pennsylvania with thesis Congruences of Circles Studied with reference to the Surface of Centers. He was a mathematics professor at Duke University for many years. B. G. Teubner, 1893. hardcover