On the Theory of Substitution Groups and Its Applicatio ns to Algebraic Equations
[Baltimore, Maryland]: [Johns Hopkins University Press] 1891. [59]-144 pages. Approx 12 x 9 inches. An exlibrary copy (properly deaccessioned). Bound in library cloth with several markings in the text. Ink stamp "217" at head of first page. Given the pagination, this appears to be an extract from the American Journal of Mathematics. It was also available as a separate work with pagination ([1]-84 pages). Good. Cloth. [16438]
One of Bolza's earlier and more important works. "[In January 1889 Bolza] gave his first lecture to a non-German audience. More precisely, he started a series of twenty lectures at Johns Hopkins 'on the theory of substitution groups and its application to algebraic equations.' This was the first course on Galois theory in [America]." (pballew blog referencing math historian V Frederick Rickey, USMA)
Published in American Journal of Mathematics, XIII (1891), pp. 59–142. "The object of the following paper (which is mostly a reproduction of a course of lectures which I had the honor of delivering at the Johns Hopkins University during the months of January and February, 1889) is to give an elementary introduction to the theory of substitution-groups and its application to Galois' theory of algebraic equations. The paper is divided into two parts: the first develops the fundamental propositions on substitution-groups in connection with the theory of asymmetric functions of n indetermninate quantities, and concludes witlh a short sketch of the extension of the theory to groups of operations in general. The second part deals with Galois' theory of algebraic equiations, in particular their solution by radicals." (first three paragraphs)
Price: $75.00