Chicago: The Open Court Publishing Company, 1901. First English language edition. Hardcover. Slim 8vo. , 2-115,  pp. Bound in red cloth with lettering in gilt on the front board, lettering and publisher's device stamped in gold on the spine. Four pages of publishers advertisements at the rear. First edition in English of the book presenting two of Dedekind's most important contributions to number theory. Dedekind was one of the most important mathematicians of the 19th century and made significant contributions in abstract algebra and number theory. He is best known for his work on defining the real numbers (in particular his proposal for defining the irrational numbers using the concept of the cut and the notion of completeness of the real numbers) and his definition of an infinite set as being a set that can be put into one-to-one correspondence with one of its proper subsets (preceding by two years the same definition proposed by Cantor in "Ueber eine Eigenschaft des Inbegriffs aller reellen algebraischen Zahlen" (“On a Property of the Collection of All Real Algebraic Numbers,”)" in Journal für die reine und angewandte Mathematik (Crelle's journal); see discussion in Bell, Kline, and Dauben). Both of these results are included in this book. An attractive copy of this milestone work in the history of mathematics. Very Good. Item #00008333
Very Good with some areas of light soiling to the cloth and a bit of light foxing to the endpapers and pastedowns, two previous owner names on the front endpaper.