Leipzig, B.G. Teubner, 1900. Orig. printed wrappers, no backstrip. In ""Mathematische Annalen. Gegenwärtig hrsg. von Felix Klein, Walter Dyck, Adolph Mayer. 53. Band, 3. Heft, 1900."" Pp. (289-)464. The whole issue (Heft 3) present with wrappers. Dedekind's paper: pp. 371-403.
First edition and first appearance in print of a fundamental paper in ""Lattice-Theory"".""dedekind's number-theoretic investigations led to the introduction of the notion of a ""lattice"" (under the name ""Dualgruppe""), at first implicitly and then explicitly. Dedekind studied the notion further, as a topic in itself, in two relatively lates articles:""eber Zerlegungen von Zahlen durch ihrer grössten gemeinsamen Teiler"" (1897) and ""Über die von drei Moduln erzeugte Dualgruppe"" (1900). (The paper offered). And while these articles did not have the same immediate and strong impact that several of his other works had, they were subsequently recognized as original, systematic contributions to lattice theory, especially the study of modular lattices."" (Stanford Encycl. of Philosophy).This issue of Mathematische Annalen also contains the importen memoir by MAX DEHN: ""Die Legendre'schen Sätze über die Winkelsumme im Dreieck."", pp. 404-39, in which he proves that there is a geometry in which the angle sum is two right angles, similar but noncongruent triangles exist, and an infinity of straight lines that are paralell to a given line may be drawn through a given point. Sommerville: Bibliography of Non-Euclidean Geometry: 1900:1).
Braunschweig, Vieweg, 1877, in-Folio, (32 x 24,5 cm), 4 Bl. (Vortitelbl. etwas staubfleckig und kl. Beschädigung ohne Verlust) + 55 S. (+ 1), Interims Broschüre.
Erste Ausgabe dieser bedeutenden Schrift, zu Ehren von Dedekinds akademischem Lehrer erschienen. "In several papers Dedekind... established the ideal theory that is held to be his masterpiece" (DSB IV, 5) Dedekind hatte 1852 bei Gauss promoviert und folgte ihm 1855 auf dem Göttinger Lehrstuhl.
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Genève: Editions du Tricorne, 2006 in-8, 148 pages, bibliographie. Broché, bon état. Traduction de 3 textes: Continuité et nombres irrationnels (1872) - Correspondance avec Lipschitz sur les nombres irrationnels (1876) - Que sont et à quoi servent les nombres? (1886).
Traités sur la théprie des nombres. Traduction française par Claude Duverney. Préface de Gerhard Wanner. (Genève: Editions du Tricorne, 2006). [M.C.: mathématiques]
Short description: In Russian. Dedekind, Julius Wilhelm Richard. Continuity and Irrational Numbers. Mathesis. You are welcome to reach out to us for a detailed description of the copies currently available. Delivery of this book may take longer than usual including extended processing and pre-shipping time, no expedited shipping is available. Please advise us if you have a set date or a deadline to receive your order.SKU4904642