Abstract
UNTIL about 1875, the contribution of the United States to the progress of pure mathematics had been negligible. There was comparatively little mathematical activity, and what little existed was chiefly concerned with applications to astronomy and physics. Then suddenly came a revolutionary change, due partly to the inspiration of J. J. Silvester, and partly to a small group of Americans who had studied in Germany and returned full of enthusiasm for research. Among these was F. N. Cole, the first American to make any contribution to the theory of groups. One of his pupils was George Abram Miller, who, after publishing a treatise on determinants in 1892, produced his paper on group theory in 1894. Since then he has published about four hundred memoirs, in addition to about an equal number of papers of an expository or historical nature. “For forty years the name of Professor Miller has called to mind the theory of groups, and for most of that time the theory of groups has called to the minds of those acquainted with American mathematics the name of Professor Miller.” On his retirement, in 1931, the University of Illinois decided to publish his collected works. The present volume contains papers up to 1900, together with three new ones giving a historical summary of the whole subject up to that date. The collection and republication of these papers is not only a tribute to the esteem in which Prof. Miller is held, but also a service to present and future students of the subject.
The Collected Works of George Abram Miller
Vol. 1. Pp. xi + 475. (Urbana, III.: University of Illinois Press, 1935.) 7.50 dollars.
Article PDF
Rights and permissions
About this article
Cite this article
P., H. The Collected Works of George Abram Miller. Nature 137, 208 (1936). https://doi.org/10.1038/137208a0
Published:
Issue Date:
DOI: https://doi.org/10.1038/137208a0